ПАРАЛЛЕЛЬНАЯ КОМПЬЮТЕРНАЯ АЛГЕБРА
2017
  1. Е.А. Ильченко. Эффективность динамического децентрализованного управления для параллельных алгоритмов обращения матриц // Параллельные вычислительные технологии – XI международная конференция, ПаВТ'2017, г. Казань, 3–7 апреля 2017 г. Короткие статьи и описания плакатов. Челябинск: Издательский центр ЮУрГУ, 2017, с. 326-340. ilch2017.pdf
  2. E.Ilchenko and G. Malaschonok. Efficient Calculation Managing on a Cluster with Distributed Memory // International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2017. P. 56-61. IlchMal-2017-pca.pdf
  3. G. I. Malaschonok. MathPartner Computer Algebra // ISSN 0361-7688, Programming and Computer Software, 2017, Vol. 43, No. 2, pp. 112–118. Mal_PCS112.pdf
  4. Alkiviadis G. Akritas, Malaschonok Gennadi. Subresultant polynomial remainder sequences obtained by polynomial divisions in Q[x] or in Z[x] // Serdica J. Computing. V.10. N.3. 2017. P. 197–217. 306_SubrPRS_via_QQ_ZZ.pdf
  5. G. I. Malaschonok. Matrix algorithms in commutative domains: the history of development in recent decades // International Conference on Mathematical Partnership, Parallel Computing and Computer Algebra: MathParCA-2017. P. 6-9. GIM2_Math2017.pdf
  6. E.Ilchenko. DDP Parallel Realization of Two Block-recursive Methods for Matrix Inversion // International Conference on Mathematical Partnership, Parallel Computing and Computer Algebra: MathParCA-2017. P. 29-34. Il_Math2017.pdf
  7. Kireev S. Sequential Algorithm LU-decomposition of matrices over idempotent semifields // International Conference on Mathematical Partnership, Parallel Computing and Computer Algebra: MathParCA-2017. P. 35-39. Ki_Math2017.pdf
  8. Pereslavtseva O. Parallel Algorithm for Computing the PRS // International Conference on Mathematical Partnership, Parallel Computing and Computer Algebra: MathParCA-2017. P. 42. Pe_Math2017.pdf
  9. Хворов С. А. Параллельный алгоритм обращения целочисленной матрицы: эксперименты на кластере МВС-10П // International Conference on Mathematical Partnership, Parallel Computing and Computer Algebra: MathParCA-2017. P. 43-48. Khv_Math2017.pdf
  10. Корабельников В.А. О применеии алгоритма Риша в CAS Mathpartner // International Conference on Mathematical Partnership, Parallel Computing and Computer Algebra: MathParCA-2017. P. 49-52. Ko_Math2017.pdf
  11. Глазков С.А., Рыбаков М.А. Алгоритмы решения простых типов обыкновенных дифференциальных уравнений в MATH PARTNER // Вестник Тамбовского университета. Серия: Естественные и технические науки. Т.22. Выпуск 6. Тамбов, 2017. С. 1268-1276. GS_RM_2017.pdf
  12. Малашонок Г.И. Применение сервиса MаthPartner в образовании // Компьютеpные инстpументы в обpазовании. №3. С.-Пб., 2017. С. 29-37. GI_2017.pdf
  13. Johnson Jeremy, Malaschonok Gennadi, Maza Marc Moreno. Interactions between high-performance computing and computer algebra: overview and perspectives // Book of Abstracts. 23rd Conference on Applications of Computer Algebra Jerusalem, July 17–21, 2017. P. 266. aca2017_abstracts.pdf
  14. G. I. Malaschonok, E.Ilchenko. Sparse matrices in computer algebra when using distributed memory: theory and applications // Book of Abstracts. 23rd Conference on Applications of Computer Algebra Jerusalem, July 17–21, 2017. P. 280-285. aca2017_abstracts.pdf
  15. Alkiviadis G. Akritas, Gennadi I. Malaschonok, Panagiotis S. Vigklas. A sympy/sage Module for Computing Polynomial Remainder Sequences // Book of Abstracts. 23rd Conference on Applications of Computer Algebra Jerusalem, July 17–21, 2017. P. 36-40. aca2017_abstracts.pdf
  16. G. I. Malaschonok, E.Ilchenko. Calculations on a Cluster with Distributed Memory: Matrix Decomposition and Inversion in the Commutative Domain // XIV International Scientific & Applied Conference TAAPSD’2017. Kyiv, Taras Shevchenko KNU. 2017. P. 63-66. Ma-Il-2017KNU.pdf
  17. G. I. Malaschonok. Matrix algorithms in commutative domains: the history of development in recent decades // International Conference on Mathematical Partnership, Parallel Computing and Computer Algebra. Jerusalem, Israel , July, 10-16, 2017. P. 6-10. GIM_Math2017.pdf
  18. Alkiviadis Akritas, Malaschonok Gennadi Attempts at Computing Gröbner Bases without S -polynomials whenever Possible // International Conference on Mathematical Partnership, Parallel Computing and Computer Algebra. Jerusalem, Israel , July, 10-16, 2017. P. 40-42. GIM3_Math2017.pdf
2016
  1. A.G. Akritas, G.I. Malaschonok. On the computation of Lagrange's Quadratic Bound for positive roots of polynomials // Tambov University Reports. Series: Natural and Technical Sciences, 2016. V. 21. Issue. 6. P. 1933-1938. Lagrange-bound-AkritMal-tsu-2016-6.pdf
  2. S.A. Kireev. Two particular cases of block-recursive algorithm LU-decomposition of the matrix over idempotent semifields // Tambov University Reports. Series: Natural and Technical Sciences, 2016. V. 21. Issue. 6. P. 1998-2005. Kireev-tsu-2016-6.pdf (in Russian)
  3. G.I. Malaschonok. New generation of symbolic computation systems // Tambov University Reports. Series: Natural and Technical Sciences, 2016. V. 21. Issue. 6. P. 2026-2042. NEW-GENER-2016-tsu-6.pdf (in Russian)
  4. G.I. Malaschonok. Using the Smith form for the Exact Matrix Inversion // Tambov University Reports. Series: Natural and Technical Sciences, 2016. V. 21. Issue. 6. P. 2042-2047. SMITH-FORM-2016-tsu-6.pdf
  5. E. A. Ilchenko. Mathematical Tools service «MathPartner» to perform parallel calculations on a cluster // Proceedings ISP RAS, 2016, V. 1, Issue. 3, P. 173-188.
  6. Rybakov M.A., O.V. Kruchin. Data protection system Terminus // Tambov University Reports. Series: Natural and Technical Sciences, 2016. V. 21. Issue. 1. P. 146-149.
  7. О. Н. Переславцева. Применение системы компьютерной алгебры MATH PARTNER для решения задач линейного программирования в экономике // Труды Седьмой Международной научной конференции "МЕЖДУНАРОДНЫЙ ДИАЛОГ: ВОСТОК-ЗАПАД". МСУ „Г.Р. Державин“ – Свети Николе, Македония, 2016. (в печати) peresl2016.pdf
  8. N.A.Malashonok. The Laplace Transform Method in an Algorithm of Solving Differential Equations with Delayed Argument // Компьютерная алгебра. Материалы международной конференции. Москва, 29 июня - 2 июля 2016, ВЦ РАН им. А.А.Дородницына. Москва: 2016. С. 72-74. malaschonokNConfM2016.pdf
  9. Е. А. Ильченко. О распараллеливании рекурсивных блочных алгебраических алгоритмов: алгоритмы и эксперименты // Компьютерная алгебра. Материалы международной конференции. Москва, 29 июня - 2 июля 2016, ВЦ РАН им. А.А.Дородницына. Москва: 2016. С. 60-62.ilchenkoConfM2016.pdf
  10. С. А. Хворов. Параллельный алгоритм обращения матрицы: результаты экспериментов // Компьютерная алгебра. Материалы международной конференции. Москва, 29 июня - 2 июля 2016, ВЦ РАН им. А.А.Дородницына. Москва: 2016. С. 63-65.khvorovConfM2016.pdf
  11. Г. И. Малашонок. Math Partner - компьютерная алгебра нового поколения // Компьютерная алгебра. Материалы международной конференции. Москва, 29 июня - 2 июля 2016, ВЦ РАН им. А.А.Дородницына. Москва: 2016. С. 69-71.malaschonokGConfM2016.pdf
  12. Gennadi Malaschonok. MathPartner one year later // International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2016. P. 50-52.
  13. A.G. Akritas, G.I. Malaschonok, P.S. Vigklas. A Basic Result on the Theory of Subresultants // Serdica J. Computing, 2016 (in print)
  14. A.G. Akritas, G.I. Malaschonok, P.S. Vigklas. Subresultant Polynomial Remainder Sequences Obtained by Polynomial Divisions in Q[x] or in Z[x] // Serdica J. Computing, 2016 (in print)
  15. Gennadi Malaschonok. New Functions of MathPartner in 2015. International Conference on Mathematical Partnership, Parallel Computing and Computer Algebra: MathParCA-2016, Loutra, Agia Paraskevi, Greece, August, 5 - 15, 2016. P.6-8. Book2016Mathparca.pdf
  16. Alkiviadis G. Akritas, Gennadi Malaschonok. An Improvement on Lagrange's Quadratic Bound on the Values of the Positive Roots of Polynomials. International Conference on Mathematical Partnership, Parallel Computing and Computer Algebra: MathParCA-2016, Loutra, Agia Paraskevi, Greece, August, 5 - 15, 2016. P.9-14. Book2016Mathparca.pdf
  17. Sergey Kireev. Block-recursive algorithm LU-decomposition of matrices over idempotent semifields. International Conference on Mathematical Partnership, Parallel Computing and Computer Algebra: MathParCA-2016, Loutra, Agia Paraskevi, Greece, August, 5 - 15, 2016. P.15-16.Book2016Mathparca.pdf
  18. Nataliya Malashonok. A differential equation with delayed argument and application of Laplace transform. International Conference on Mathematical Partnership, Parallel Computing and Computer Algebra: MathParCA-2016, Loutra, Agia Paraskevi, Greece, August, 5 - 15, 2016. P.17-18.Book2016Mathparca.pdf
  19. Sergey Kireev. Sequential Algorithm LU-decomposition of matrices over idempotent semifield. International Conference on Mathematical Partnership, Parallel Computing and Computer Algebra: MathParCA-2016, Loutra, Agia Paraskevi, Greece, August, 5 - 15, 2016. P.41-45.Book2016Mathparca.pdf
  20. Gennadi Malaschonok. About Probabilistic Algorithm of Exact Matrix Inversion. International Conference on Mathematical Partnership, Parallel Computing and Computer Algebra: MathParCA-2016, Loutra, Agia Paraskevi, Greece, August, 5 - 15, 2016. P.46-50.Book2016Mathparca.pdf
  21. Evgeny A. Ilchenko. About Effective Methods of Parallelizing Block Recursive Algorithms. International Conference on Mathematical Partnership, Parallel Computing and Computer Algebra: MathParCA-2016, Loutra, Agia Paraskevi, Greece, August, 5 - 15, 2016. P.51-52.Book2016Mathparca.pdf
2015
  1. Ильченко Е.А. Об эффективном методе распараллеливания блочных рекурсивных алгоритмов // Вестник Тамбовского университета. Серия: Естественные и технические науки, 2015, том 20, вып 5, с. 1173-1186.
  2. A.G. Akritas, G.I. Malaschonok, P.S. Vigklas. On the remainders obtained in finding the greatest common divisor of two polynomials // Serdica J. Computing V.9, No.2, 2015, 123–138.
  3. Malaschonok G.I., Scherbinin A.S. Triangular Decomposition of Matrices in a Domain. Computer Algebra in Scientific Computing. LNCS 9301, Springer, Switzerland, 2015, P.290-304. DOI 10.1007/978-3-319-24021-3_22 http://link.springer.com/chapter/10.1007/978-3-319-24021-3_22
    (preprint: https://arxiv.org/pdf/1702.07243.pdf)
  4. Malashonok N.A. The Laplace transform method for solving differential equations with delayed argument // International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2015. P. 55-56
  5. Malaschonok G.I., Kireev S.A. Tropical mathematics in MathPartner // International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2015. P. 42-44
  6. Malaschonok G.I., Scherbinin A.S. New Type of Triangular Matrix Decomposition // International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2015. P. 53-54
  7. Malaschonok G.I., Malashonok N.A. MathPartner for Education // International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2015. P. 50-52
  8. Malaschonok G.I., Scherbinin A.S. New Algorithm of Triangular Decomposition. International conference MathParCA-2015, Turku-Abo, Finland, 2015. P. 6.
  9. Malaschonok G.I. Khvorov S. Parallel Inversion of Integer Matrix. International conference MathParCA-2015, Turku-Abo, Finland, 2015. P. 7.
  10. Ilchenko E.A. One approach to algorithm of the decentralized management for the distributed computing process. International conference MathParCA-2015, Turku-Abo, Finland, 2015. P. 8.
  11. Malashonok N.A. A symbolic-numerical algorithm for solving differential equations with delayed argument. International conference MathParCA-2015, Turku-Abo, Finland, 2015. P. 13-14.
  12. Malashonok N.A. Applying a mathematical system MathPartner in school education . Teaching experience and pedagogical technologies . Collection materials III international scientific-practical conference Cheboksary, 2015. P. 277-279.
2014
  1. A.G. Akritas, G.I. Malaschonok, P.S. Vigklas. Sturm Sequences and Modfied Subresultant Polynomial Remainder Sequences // Serdica Journal of Computing, V.8, No 1, 2014, 101–118.
  2. Malaschonok G.I., Kireev S.A. Tropical mathematics and computer algebra // International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2014. P. 41-42.
  3. Malaschonok G.I., Borisov I.A. About MathPartner web service // International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2014. P. 50-51.
  4. Malaschonok G.I., Borisov I.A. About MathPartner web service // Tambov University Reports. Series: Natural and Technical Sciences, 2014. V. 19. Issue. 2. P. 512-516.
  5. Malaschonok G.I., Rybakov M.A. Solution of systems of linear differential equations and calculation of dynamic characteristics of the control systems in the web service MathPartner // Tambov University Reports. Series: Natural and Technical Sciences, 2014. V. 19. Issue. 2. P. 517-529.
  6. Pereslavtseva O.N. Parallel algorithm for computing the characteristic polynomial and its time complexity // Tambov University Reports. Series: Natural and Technical Sciences, 2014. V. 19. Issue. 2. P. 530-538.
  7. Malaschonok G.I., Kireev S.A. Tropical computing web service MathPartner // Tambov University Reports. Series: Natural and Technical Sciences, 2014. V. 19. Issue. 2. P. 539-550.
  8. Ilchenko E.A. The socket server for remote user interaction with the control system of distributed computing // Tambov University Reports. Series: Natural and Technical Sciences, 2014. V. 19. Issue. 2. P. 551-557.
  9. Ivashov D.S. Parallel algorithm for the decomposition of polynomials with different sets of variables // Tambov University Reports. Series: Natural and Technical Sciences, 2014. V. 19. Issue. 2. P. 558-565.
2013
  1. A.G. Akritas, G.I. Malaschonok, P.S. Vigklas. On a Theorem by Van Vleck Regarding Sturm Sequence //Serdica J. Computing V.7, No 4, 2013, 389–422.
  2. G.I.Malaschonok, Pereslavtseva O.N, Ivashov D.S. Parallel symbolic computation / / Supercomputer technologies in science, education and industry / Edited by Academician VA Sadovnichiy academician GI Savina, Corr. RAS Vl.V. Voevodin. (in Russian). Parallel_symbolic_computation.pdf (7,18 MB)
  3. N.A. Malashonok. Symbolic solving of partial differential equations systems and compatibility conditions. Lapl_NaMalashonok.pdf (120 KB)
  4. N.A. Malashonok, M.A.Rybakov. Symbolic-Numerical Solution of Systems of Linear Ordinary Differential Equations with Required Accuracy. Programming and Computer Software, 2013, Vol. 39, No. 3, P. 150-157.
  5. N.A. Malashonok, M.A.Rybakov. Symbolic-Numerical Solution of Systems of Linear Ordinary Differential Equations with Required Accuracy. Programming and Computer Software, 2013, No. 3, P. 38-46 (in Russian). ProCom2013.pdf (455 KB)
  6. G.I.Malaschonok. Generalized Bruhat decomposition in commutative domains /in book: Computer Algebra in Scientific Computing. CASC'2013. LNCS 8136, Springer, Heidelberg, 2013, pp.231-242. DOI 10.1007/978-3-319-02297-0_20 http://link.springer.com/chapter/10.1007/978-3-319-02297-0_20
    (preprint: https://arxiv.org/pdf/1702.07248.pdf)
  7. G.I.Malaschonok. Mathpar Language Guide.Tambov: Publishing House of TSU, 2013, 125pp book2012_13EN.pdf (1325 KB)
  8. G.I.Malaschonok. Language Guide "Mathpar" .Tambov: Publishing House of TSU, 2013, 133pp. (in Russian) book2012_13RU.pdf (1510 KB)
  9. Malaschonok G.I., Scherbinin A.S. Algorithm of LDU-decomposition and example. Tambov University Reports. Series: Natural and Technical Sciences. V. 18, Issue 4, 2013. (in Russian) Malaschonok_scherbinin.pdf (707 KB)
  10. Malaschonok G.I., Lukashin V.A. Parallel multiplication algorithms for matrix and matrix degree by the vector. Tambov University Reports. Series: Natural and Technical Sciences. V. 18, Issue 4, 2013. (in Russian) Malaschonok_Lukashin.pdf (715 KB)
  11. Borisov I.A. About compilation of expressions in MATHPAR language. Tambov University Reports. Series: Natural and Technical Sciences. V. 18, Issue 4, 2013. (in Russian) Borisov.pdf (829 KB)
  12. Rybakov M.A. Parallel computation of the general solution of the inhomogeneous system of ordinary differential equations with constant coefficients. Tambov University Reports. Series: Natural and Technical Sciences. V. 18, Issue 4, 2013. (in Russian) Rybakov.pdf (946 KB)
  13. Smirnov R.A. About one approach to solving systems partial differential equations in the general form. Tambov University Reports. Series: Natural and Technical Sciences. V. 18, Issue 4, 2013. (in Russian) Smirnov.pdf (507 KB)
  14. Betin A.A. Parallel algorithm for calculations complex roots of polynomials. Tambov University Reports. Series: Natural and Technical Sciences. V. 18, Issue 4, 2013. (in Russian) Betin.pdf (373 KB)
  15. Pereslavtseva O.N., Bobkov O.O. Randomized algorithm for the characteristic poynomial. Tambov University Reports. Series: Natural and Technical Sciences. V. 18, Issue 4, 2013. (in Russian) Pereslavtseva.pdf (482 KB)
  16. Ilchenko E.A. An algorithm for the decentralized control of parallel computing process. Tambov University Reports. Series: Natural and Technical Sciences. V. 18, Issue 4, 2013. (in Russian) Ilchenko.pdf (1517 KB)
  17. Ivashov D.S. Square-free factorization polinomials of many variables. Tambov University Reports. Series: Natural and Technical Sciences. V. 18, Issue 4, 2013. (in Russian) Ivashov.pdf (1602 KB)
  18. Shlapin D.I. Transformation of function composition with logarithmic and exponential functions in complex ring. Tambov University Reports. Series: Natural and Technical Sciences. V. 18, Issue 4, 2013. (in Russian) Shlapin.pdf (537 KB)
  19. Malashonok N.A. Symbolic solving of partial differential equations systems and compatibility conditionsSerdica Mathematical Journal, Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences, 2013, 124-138
  20. Ivashov D.S. Factoring polynomials of many variables with integer coefficients. Tambov University Reports. Series: Natural and Technical Sciences, 2013. V. 18. Issue. 5. P. 2538-2540.
  21. Malaschonok G.I. Exact triangular decomposition. Tambov University Reports. Series: Natural and Technical Sciences, 2013. V. 18. Issue. 5. P. 2584-2587.
  22. Malashonok N.A. The Laplas transform method for solving differential equations with delayed argument. Tambov University Reports. Series: Natural and Technical Sciences, 2013. V. 18. Issue. 5. P. 2587-2589.
  23. Malaschonok G.I. Generalization of LU and Bruhat decomposition. International conference MathParCA-2013, Rhodes, Greece, 2013. P. 23-26.
  24. Malaschonok G.I. Mathematical language ''MATHPAR''. International conference MathParCA-2013, Rhodes, Greece, 2013. P. 29-31.
  25. Malashonok N.A. Solving differential equations with delayed argument by means of the Laplace transform. International conference MathParCA-2013, Rhodes, Greece, 2013. P. 21-22.
  26. Malaschonok G.I., Borisov I.A. Current state of the Mathpar computer algebra web project. International conference MathParCA-2013, Rhodes, Greece, 2013. P. 11-13.
  27. Ivashov D.S. Algorithms for factorization of multivariate polynomials. International conference MathParCA-2013, Rhodes, Greece, 2013. P. 17-20.
  28. Rybakov M.A. Parallel algorithm for computing of the general solution of system of ordinary differential equations. International conference MathParCA-2013, Rhodes, Greece, 2013. P. 27-28.
  29. Malashonok G.I. MATHPAR Language Guide: Study Guide. Tambov: the Publishing House of TSU named after G.R. Derzhavin, 2013.
  30. Kireev S.A. Algorithms tropical mathematics at MATHPAR. Research projects students. Supplement to the Bulletin of the University of Tambov. Tambov, 2013. P. 127-129.
  31. Malashonok G.I., Pereslavtseva O.N., Ivashov D.S. The parallel symbolic computation in the Tambov State University // VI International Conference "Cloud computing. Education. Research. Development", 2013.
  32. Malashonok G.I. Exact triangular decomposition in domain // International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2013.
  33. Malashonok N.A. The Laplace transform method for solving differential equations with delayed argument // International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2013. P. 59-61
  34. Malashonok G.I., Borisov I.A. Development of a web project of computer algebra Mathpar // International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2013.
  35. Pereslavtseva O.N. Parallel algorithm for computing the characteristic polynomials and experiments // International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2013.
  36. Rybakov M.A. Parallel algorithm for computing of the general solution of the inhomogeneous system of the ordinary differential equations with constant coefficients // International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2013.
2012
  1. Gennadi Malaschonok. On fast generalized Bruhat decomposition in the domains. Tambov University Reports. Series: Natural and Technical Sciences. V. 17, Issue 2, 2012. P. 544-551. (in Russian).MalaschonokGI17_2.pdf (23 MB)
  2. Andrey Betin. A parallel algorithm for modular calculation of an adjoint matrix from polynomial ring of several variables. Tambov University Reports. Series: Natural and Technical Sciences. V. 17, Issue 2, 2012. P. 584-587. (in Russian).Betin17_2.pdf (8,07 MB)
  3. Mikhail Rybakov. Computation general and particular solutions of the inhomogeneous system of ordinary differential equations with constant coefficients. Tambov University Reports. Series: Natural and Technical Sciences. V. 17, Issue 2, 2012. P. 552-565.(in Russian). Rybakov17_2.pdf (25,5 MB)
  4. Pereslavtseva O.N. Parallel algorithm for computing of characteristic polynomials of polynomial matrices. Tambov University Reports. Series: Natural and Technical Sciences. V. 17, Issue 2, 2012. P. 588-590. (in Russian).Pereslavtseva17_2.pdf (5,87 MB)
  5. Matveeva U. Limit of a sum of positive rational degrees of polynomials. Tambov University Reports. Series: Natural and Technical Sciences. V. 17, Issue 2, 2012. P. 566-569.(in Russian). Matveeva17_2.pdf (4,78 KB)
  6. Smirnov Roman. Symbolic solution of partial differential equations in general form. Tambov University Reports. Series: Natural and Technical Sciences. V. 17, Issue 2, 2012. P. 570-576. (in Russian).vestnic17_2012_2.pdf (743 KB)
  7. Borisov I. A. About one matrix approach to constructing Groebner bases. Tambov University Reports. Series: Natural and Technical Sciences. V. 17, Issue 2, 2012. P. 577-583. (in Russian).Borisov17_2.pdf (12,2 MB)
  8. Ivashov D.S. An algorithm of factorization of multivariate polynomials. Tambov University Reports. Series: Natural and Technical Sciences. V. 17, Issue 2, 2012. P. 591-597. (in Russian).Ivashov17_2.pdf (13 MB)
  9. Dubovitskyi E. Procedural programming, operators of branching and looping in the computer algebra system. Tambov University Reports. Series: Natural and Technical Sciences. V. 17, Issue 2, 2012. P. 598-602. (in Russian).Dubovitskiy17_2.pdf (13,5 MB)
  10. Shlyapin D. Transformation of compositions of functions containing trigonometric functions. Tambov University Reports. Series: Natural and Technical Sciences. V. 17, Issue 2, 2012.
    P. 603-606. (in Russian).Shlyapin17_2.pdf (9,38 MB)
  11. Tararova S. To the problem of constructing an algorithm for symbolic integration.
    Tambov University Reports. Series: Natural and Technical Sciences. V. 17, Issue 2, 2012. P. 607-615. (in Russian).Tararova17_2.pdf (30,3 MB)
  12. Gennadi Malaschonok. About Bruhat decomposition in domain.
    International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2012. P. 54-56. GMalashonokSPb12.pdf (193 KB)
  13. Natasha Malashonok The Laplace method for linear differential equations with impulse coefficients.
    International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2012. P. 59-60. NMalashonokSPb12.pdf (162 KB)
  14. Gennadi Malaschonok and Evgeni Ilchenko. Decentralized control of parallel computing.
    International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2012. P. 57-58. Malaschonok_IlchenkoSPb12.pdf (98 KB)
  15. Andrey Betin. Parallel modular algorithm for computing an adjoint matrix in the ring of polynomials of several variables. International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2012. P. 14-15. BetinSPb12.pdf (132 KB)
  16. Borisov I. A. On some matrix approach to constructing Grobner bases. International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2012. P. 20-22. BorisovSPb12.pdf (142 KB)
  17. Mikhail Rybakov. Computing general solutions of systems of ordinary differential equations with constant coefficients. International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2012. P. 72-76. RybakovSPb12.pdf (208 KB)
  18. Pereslavtseva O.N. Parallel algorithm for computing characteristic polynomials of polynomial matrices. International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2012. P. 67-69. PereslSPb12.pdf (152 KB)
  19. Smirnov Roman. One approach to symbolic solution of partial differential equations.
    International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2012. P. 80-83. SmirnovSPb12.pdf (199 KB)
  20. Svetlana Tararova. To the problem of constructing an algorithm for symbolic integration. International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2012. P. 89-93. TararovaSPb12.pdf (235 KB)
  21. Malaschonok G.I., Betin A.A., Rybakov M.A., Smirnov R.A. Parallel Computer Algebra: Study Guide: in 3 parts. P 3. Tambov: The Publishing House of TSU named G.R. Derzhavin, 2012. (in Russian) PCA_2012_3.pdf (832 KB)
2011
  1. Malaschonok G. I. Can we Compute Bruhat Decomposition in a Domain with the Complexity of Matrix Multiplication. International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2011. P. 75.
  2. Malaschonok N.A. Analitic solving of partial differential equations and compatibility conditions. International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2011. P. 76-79.
  3. Pereslavtseva O.N. Parallel algorithm for computing characteristic polynomials of polynomial matrices and experiments. International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2011. P. 105-108.
  4. Pereslavtseva O.N. The computation of the characteristic polynomial of the matrix. Discrete Mathematics. V. 23, Issue . 1, 2011, P. 28-45.
  5. Malaschonok G. I. Constructive mathematics and the principle of short-range. Tambov University Reports. Series: Natural and Technical Sciences. V. 16. Issue 1, 2011. P. 115-120. (in Russian) vestnic16_2011_4.pdf (1 893 KB)
  6. Ivashov D.S. Factorization of polynomials of several variables. Tambov University Reports. Series: Natural and Technical Sciences. V. 16. Issue 1, 2011. P. 133-137. (in Russian) vestnic16_2011_3.pdf (1 468 KB)
  7. Pozdnikin A.G. Polynomial computations in computer algebra and PARCA FORM: A Comparative Analysis. Tambov University Reports. Series: Natural and Technical Sciences. V. 16. Issue 1, 2011. P. 128-132. (in Russian) vestnic16_2011_2.pdf (1 539 KB)
  8. Lapaev A.O. A parallel algorithm for computing the DFT-matrix attached to the ring of polynomials of several variables with integer coefficients.Tambov University Reports. Series: Natural and Technical Sciences. V. 16. Issue 1, 2011. P. 121-127. (in Russian) vestnic16_2011_1.pdf (2 089 KB)
2010
  1. Malaschonok G.I. Project of Parallel Computer Algebra. Tambov University Reports. Series: Natural and Technical Sciences. V. 15. Issue 6, 2010. P. 1724-1729. vestnic15_2010_5.pdf (212 KB)
  2. Betin A.A. Experiments with parallel algorithms for computing the adjoint matrix. Tambov University Reports. Series: Natural and Technical Sciences. V. 15. Issue 6, 2010. P. 1748-1754. vestnic15_2010_4.pdf (477 KB)
  3. Malaschonok G. I., Starov M.V., Borisov I.A.To parallel computation of Gröbner bases. Tambov University Reports. Series: Natural and Technical Sciences. V. 15. Issue 6, 2010. P. 1755-1760. vestnic15_2010_3.pdf (225 KB)
  4. Malaschonok N. A. One example of symbolic solution of differential equations in partial derivatives. Tambov University Reports. Series: Natural and Technical Sciences. V. 15. Issue 6, 2010. P. 1761-1766. vestnic15_2010_2.pdf (228 KB)
  5. Pozdnikin A.G. An approach to the arithmetic of polynomials in ultrahigh. Tambov University Reports. Series: Natural and Technical Sciences. V. 15. Issue 6, 2010. P. 1767-1770. vestnic15_2010_1.pdf (186 KB)
  6. Malaschonok G. I. Fast Generalized Bruhat Decomposition. Computer Algebra in Scientific Computing, LNCS 6244, Springer, Berlin 2010. P. 194-202. DOI 10.1007/978-3-642-15274-0_16 http://link.springer.com/chapter/10.1007/978-3-642-15274-0_16
    {preprint: https://arxiv.org/pdf/1702.07242.pdf)
  7. Malaschonok N. A. Symbolic Solving of Differential Equations with Partial Derivatives. Reports RUDN. Series Mathematics, Informatics, Physics. №2(2), 2010. P. 10-14.
  8. Malaschonok G.I. Fast matrix decomposition in parallel computer algebra. Tambov University Reports. Series: Natural and Technical Sciences. V. 15. Issue 4, 2010. P. 1372-1385. vestnic15_4.pdf (1,22 MB)
  9. Malaschonok N.A. A parallel algorithm for symbolic solving partial differential equations. Tambov University Reports. Series: Natural and Technical Sciences. V. 15. Issue 4, 2010. P. 1386-1391. vestnic15_4.pdf (1,22 MB)
  10. Lapaev A.O. DFT for polynomials in parallel algorithms. Tambov University Reports. Series: Natural and Technical Sciences. V. 15. Issue 4, 2010. P. 1354-1371. vestnic15_4.pdf (1,22 MB)
  11. Pereslavtseva O.N. Parallel algorithms which are based on the method of homomorphic images for computing the characteristic polynomials. Tambov University Reports. Series: Natural and Technical Sciences. V. 15. Issue 4, 2010. P. 1413- 1425. vestnic15_4.pdf (1,22 MB)
  12. Pozdnikin A.G. Out-of-core parallel polynomial arithmetic. Tambov University Reports. Series: Natural and Technical Sciences. V. 15. Issue 4, 2010. P. 1426-1435. vestnic15_4.pdf (1,22 MB)
  13. Betin A.A. The parallel algorithm for calculation of an adjoint matrix and experiments. International conference Parallel Computer Algebra. Tambov, 2010, P. 10-11.
  14. Malaschonok G.I. Computer mathematics for computational network. Tambov University Reports. Series: Natural and Technical Sciences. V. 15. Issue 1, 2010. P. 322-327. vestnic14_1.pdf (555 KB)
  15. Malaschonok G.I., Smirnov R.A. About composition of functions and a machine forms. Tambov University Reports. Series: Natural and Technical Sciences. V. 15. Issue 1 2010. P. 327-331. vestnic14_1.pdf (555 KB)
  16. Malaschonok G.I., Ivashov D.S. An algorithm of factorization of polynomials of several variables. Tambov University Reports. Series: Natural and Technical Sciences. V. 15. Issue 1, 2010. P. 331-334. vestnic14_1.pdf (555 KB)
  17. Lapaev A.O. A parallel computation of multidimensional discrete Fourier transform and experiments' results. Tambov University Reports. Series: Natural and Technical Sciences. V. 15. Issue 1, 2010. P. 334-338. vestnic14_1.pdf (555 KB)
  18. Ribakov M.A. Solving systems of linear differential equations with a piecewise continuous right-hand parts by means transformation Laplace. Tambov University Reports. Series: Natural and Technical Sciences. V. 15. Issue 4, 2010. P. 339-341. vestnic15_4.pdf (1,22 MB)
  19. Betin A.A. Experiments with a parallel algorithm for calculation of adjoint matrix and with a parallel algorithm for multiplication of file matrices. Tambov University Reports. Series: Natural and Technical Sciences. V. 15. Issue 1, 2010. P. 341-345. vestnic14_1.pdf (555 KB)
  20. Starov M.V. Realization of Fougere's method for calculation of polynomial basis. Tambov University Reports. Series: Natural and Technical Sciences. V. 15. Issue 1, 2010. P. 345-346. vestnic14_1.pdf (555 KB)
  21. Pereslavtseva O.N. Experiments with a parallel algorithm for calculation of the characteristic polynomial for polynomials matrixes. Tambov University Reports. Series: Natural and Technical Sciences. V. 15. Issue 1, 2010. P. 346-349. vestnic14_1.pdf (555 KB)
  22. Pozdnikin A.G. Multiplication of file polynomials. Tambov University Reports. Series: Natural and Technical Sciences. V. 15. Issue 1, 2010. P. 349-352. vestnic14_1.pdf (555 KB)
  23. Tararova S.M. Calculation of integral of the fractional-rational function. Tambov University Reports. Series: Natural and Technical Sciences. V. 15. Issue 1, 2010. P. 353-354. vestnic14_1.pdf (555 KB)
  24. Yurin Yu.Yu. Visualisation of density function of medium. Tambov University Reports. Series: Natural and Technical Sciences. V. 15. Issue 1, 2010. P. 355-357. vestnic14_1.pdf (555 KB)
  25. Malaschonok N. An algorithm for symbolic solving of partial differential equations. International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2010. P. 48-50. Malaschonok_N_St.Petersburg_PDMI_RAS_2010.pdf (93,7 KB)
  26. Malaschonok G.I. Architecture of ParCA3 project. International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2010. P. 44-47. Malaschonok_G_I_St.Petersburg_PDMI_RAS_2010.pdf (87,9 KB)
  27. Betin A.A. Experiments with a parallel algorithm for calculation of adjoint matrix. International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2010. P. 2-5. Betin_St.Petersburg_PDMI_RAS_2010.pdf (195 KB)
  28. Lapaev A.O. A parallel algorithm for solving of linear system. International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2010. P. 40-43. lapaev_St.Petersburg_PDMI_RAS_2010.pdf (152 KB)
2009
  1. Malaschonok G.I., Starov M.V., Betin A.A., Pereslavtseva O.N., Pozdnikin A.G. Parallel Computer Algebra: Study Guide: in 3 parts. P 1. Tambov: The Publishing House of TSU named G.R. Derzhavin, 2009. (Russian) pca2009.pdf (1179 Kb)pca2009.ps (1695 Kb)
  2. Malaschonok G. I., Valeev Yu. D., Lapaev A. O. On the choice of multiplication algorithm for polynomials and polynomial matrices. // Zapiski POMI. 2009. V. 373. P. 157-188.(Russian) ma_va_la_ru.pdf (359 Kb)
  3. Betin A.A. Parallel recursive algorithm of computation of adjoint matrix. Tambov University Reports. Natural and Technical Sciences. V. 14, part. 1, 2009. P. 265-269. (Russian) betin09_ru.pdf (1.3 Mb)
  4. Malashonok G.I. Control of parallel computing process. Tambov University Reports. Natural and Technical Sciences. V. 14, part. 1, 2009. P. 269-274. (Russian) ma2009_ru.pdf (1.77 Mb)
  5. Pereslavtseva O.N. Computation of a characteristic polynomial for polynomial matrices. Tambov University Reports. Natural and Technical Sciences. V. 14, part. 1, 2009. P. 274-277. (Russian) pe09_ru.pdf (2.9 Mb)
  6. Sazhneva O.A. Solving homogeneous and non-homogeneous systems of linear equations over polynomial rings. Tambov University Reports. Natural and Technical Sciences. V. 14, part. 1, 2009. P. 277-281. (Russian) sa09_ru.pdf (2.3 Mb)
  7. Lapaev A.O. On computation of determinant and a characteristic polynomial of polynomial matrix by means of discrete Fourier transform. Tambov University Reports. Natural and Technical Sciences. V. 14, part. 1, 2009. P. 281-282. (Russian) la09_ru.pdf (1.2 Mb)
  8. Tararova S.M. Symbolic integration of compositions of elementary functions. Tambov University Reports. Natural and Technical Sciences. V. 14, part. 1, 2009. P. 283-286. (Russian) ta09_ru.pdf (2.4 Mb)
  9. Malashonok G.I., Dobychin A.M. The dynamic decentralised control of parallel computing process. Tambov University Reports. Natural and Technical Sciences. V. 14, part. 1, 2009. P. 287-289. (Russian) mado09_ru.pdf (2.5 Mb)
  10. Pozdnikin A.G. Application of Grobner bases in a robotics. Tambov University Reports. Natural and Technical Sciences. V. 14, part. 1, 2009. P. 288-289. (Russian) po09_ru.pdf (1.7 Mb)
  11. Egorov A.U. Application of Grobner bases in biology. Tambov University Reports. Natural and Technical Sciences. V. 14, part. 1, 2009. P. 290-291. (Russian) eg09_ru.pdf (1.7 Mb)
  12. Malaschonok G.I. Classes structure of ParCA-2 system. International conference Polynomial Computer Algebra. St. Petersburg, PDMI RAS, 2009, P. 66-68. GI_pca09_ru.pdf (1.7 Mb)
  13. Malaschonok N.A. An algorithm for symbolic solving systems of partial differential equations. International conference Polynomial Computer Algebra. St. Petersburg, PDMI RAS, 2009, P. 109-111. na_pca09_ru.pdf (1.7 Mb)
  14. Betin A.A. Parallel computation of adjoint matrix. International conference Polynomial Computer Algebra. St. Petersburg, PDMI RAS, 2009. P. 123-128. (Russian) be_pca09_ru.pdf (1.7 Mb)
  15. Lapaev A.O. Algorithms for polynomial matrices doing by means of DFT. International conference Polynomial Computer Algebra. St. Petersburg, PDMI RAS, 2009. P. 141-146. (Russian) la_pca09_ru.pdf (1.7 Mb)
  16. Malaschonok N. An algorithm for symbolic solving of differential equations and estimation of accuracy. Computer Algebra in Scientific Computing. 11th International Workshop, CASC 2009, Kobe, Japan, September 2009. Springer-Verlag Berlin Heidelberg 2009. P. 213-225.
  17. Malaschonok N.A. Application of Sege kernels for approcsimation functions with series. Tambov University Reports. Natural and Technical Sciences. V. 14, part. 1, 2009. P. 750-751.
  18. Malaschonok N.A. Lagrange equations on two-dimensional algebras. Tambov University Reports. Natural and Technical Sciences. V. 14, part. 1, 2009. P. 336-338
  19. Pereslavtseva O.N. Computation of characteristic polynomials of matrices over polynomial ring. International conference Polynomial Computer Algebra. St. Petersburg, PDMI RAS, 2009. P. 35-39. (Russian) pe_pca09_ru.pdf (1.7 Mb)
  20. Vodolazhskaya E. Radon transform on the plane over a finite ring: a new inversion formula. International conference Polynomial Computer Algebra. St. Petersburg, PDMI RAS, 2009. P. 120-122.
  21. Malaschonok N. An Algorithm for Symbolic Solving Systems of Partial Differential Equations. Mathematical Modeling and Computation Physics (MMCP ' 2009): Book of Abstracts of the International Conference (Dubna, July 7-11, 2009). - Dubna: JINR, 2009. P. 131. http://mmcp2009.jinr.ru/docs/abstracts_sect_n.pdf
  22. Malashonok G.I., Valeev Y.D., Zuev M.S., Lapaev A.O. On a choice of algorithm of multiplication for polynomials and polynomial matrices. Mathematical Modeling and Computation Physics (MMCP ' 2009): Book of Abstracts of the International Conference (Dubna, July 7-11, 2009). - Dubna: JINR, 2009. P. 126. (Russian) http://mmcp2009.jinr.ru/docs/abstracts_sect_n.pdf
  23. Pereslavtseva O.N. Computation of characteristic polynomials of matrices: consecutive and parallel algorithms. Mathematical Modeling and Computation Physics (MMCP ' 2009): Book of Abstracts of the International Conference (Dubna, July 7-11, 2009). - Dubna: JINR, 2009. P. 130-131. (Russian) http://mmcp2009.jinr.ru/docs/abstracts_sect_n.pdf
  24. Malashonok G.I.,Starov M.V. About experiments with Fouger F4 algorithm. Mathematical Modeling and Computation Physics (MMCP ' 2009): Book of Abstracts of the International Conference (Dubna, July 7-11, 2009). - Dubna: JINR, 2009. P. 135. (Russian) http://mmcp2009.jinr.ru/docs/abstracts_sect_n.pdf
  25. Betin A.A. Parallel calculation of the adjoint matrix. Parallel computing technologies (PaVT ' 2009): Proceedings of international scientific conference (Nizhni Novgorod, on March, 30th - on April, 3rd, 2009). Chelyabinsk: Publishing house JuUrGu, 2009. P. 805. (Russian) http://omega.sp.susu.ac.ru/books/conference/PaVT2009/papers/Posters/009.pdf
  26. Pereslavtseva O.N. Parallel calculation of a characteristic polynomial of a matrix. Parallel computing technologies (PaVT ' 2009): Works of the international scientific conference (Nizhni Novgorod, on March, 30th - on April, 3rd, 2009). Chelyabinsk: Publishing house JuUrGu, 2009. P. 817-821. (Russian) http://omega.sp.susu.ac.ru/books/conference/PaVT2009/papers/Posters/021.pdf
  27. Pozdnikin A.G. File polynomials. Tambov University Reports. Natural and Technical Sciences. V. 14, part. 4, 2009. P. 783-785. (Russian)
  28. Rybakov M.A. Solving systems of linear differential equations with constant coefficients by means of Laplace transform. Tambov University Reports. Natural and Technical Sciences. V. 14, part. 4, 2009. P. 791-792. (Russian) ry_opu_ru.pdf (1.7 Mb)
  29. Malaschonok N. An algorithm for symbolic solving of differential equations and estimation of accuracy. Tambov University Reports. Natural and Technical Sciences. V. 14, part. 4, 2009. P. 748-749.
  30. Malashonok N.A. Application of kernels of Sege for approximation of functions by series. Tambov University Reports. Natural and Technical Sciences. V. 14, part. 4, 2009. P. 750-751.
  31. Starov M.V. Implementaion of Fouger method. Tambov University Reports. Natural and Technical Sciences. V. 14, part. 4, 2009. P. 802-803. (Russian) st_opu_ru.pdf
  32. Betin A.A. Computation of the adjoint matrix on multiprocessing cluster. Tambov University Reports. Natural and Technical Sciences. V. 14, part. 4, 2009. P. 659-660. (Russian) be_opu_ru.pdf
  33. Dobychin A.M. A variant of decentralised control of parallel computing process. Tambov University Reports. Natural and Technical Sciences. V. 14, part. 4, 2009. P. 701-702. (Russian) do_opu_ru.pdf
  34. Lapaev A.O. On the calculation of multidimensional discrete Fourier transform in the finite field. Tambov University Reports. Natural and Technical Sciences. V. 14, part. 4, 2009. P. 729-731. (Russian) la_opu_ru.pdf
  35. Malashonok G.I. On the project of parallel computer algebra. Tambov University Reports.Natural and Technical Sciences. V. 14, part. 4, 2009. P. 744-748. (Russian) ma_opu_ru.pdf (1.7 Mb)
  36. Pereslavtseva O.N. Parallezation of algorithms by means of Chinese remainder theorem. Tambov University Reports. Natural and Technical Sciences. V. 14, part. 4, 2009. P. 779-781. (Russian) pe_opu_ru.pdf
  37. Lapaev A.O. Parallel computation of discrete Fourier transform of a polynomial in a finite field. Materials of 9th international conference-seminar «High-efficiency parallel calculations on cluster systems». Vladimir — 2009. P. 272-273. (Russian)
2008
  1. Sazhneva O.A. Solving systems of linear equations over polynomial ring by p-adic method. XI Derzhavinskie chtenia TSU of G.R.Derzhavin. Tambov, September 3, 2008. (Russian)
  2. Malashonok G.I. On the parallel constructive mathematics. The international scientific conference "Modern mathematical education and problems of history and mathematics methodology". Tambov. 2008. P. 194-195. (Russian)
  3. Malaschonok N.A. Polynomials over two-dimensional algebras. Tambov University Reports. Natural and Technical Sciences. V. 13, part. 1, 2009. P. 12-13
  4. Pereslavtseva O.N. On the algorithms of calculation of a characteristic polynomial coefficients for matrix over the integers numbers. The international scientific conference "Modern mathematical education and problems of history and mathematics methodology". Tambov. 2008. P. 196-198. (Russian)
  5. Pereslavtseva O.N. On the calculation of coefficients of a characteristic polynomial. Computing methods and programming. 2008. Т.9. P. 366-370. (Russian) http://num-meth.sr.cc.msu.ru
  6. Valeev Yu.D. Parallezation of algorithms of computer algebra on the base of polynomial arithmetics. Ph.D. thesis. Tambov, TSU Publishing house, 2008. (Russian)
  7. Sazhneva O.A. Solving linear equations systems over polynomial ring by p-adic method. XI Derzhavinsky chtenia TSU of G.R.Derzhavin. Tambov, September 3, 2006. (Russian)
  8. Zuev M.S. Block symbolical matrix algorithms. Ph.D. thesis. Tambov, TSU Publishing house, 2008. (Russian)
  9. Malaschonok G.I., Valeev Y.D. Parallel polynomial recursive algorithms. International conference Polynomial Computer Algebra. St. Petersburg, PDMI RAS, 2008. P. 41-45. (Russian)
  10. Betin A.A. On computation of complex roots of polynomials. International conference Polynomial Computer Algebra. St. Petersburg, PDMI RAS, 2008. P. 7-8. (Russian)
  11. Pereslavtseva O.N. Computation of a characteristic polynomial of a matrix in the ring of integer numbers. International conference Polynomial Computer Algebra. St. Petersburg, PDMI RAS, 2008. P. 57-61. (Russian)
  12. Starov M.V. Implementation of Fouger F4 algorithm of Groebner basis computation. International conference Polynomial Computer Algebra. St. Petersburg, PDMI RAS, 2008. P. 66. (Russian)
  13. Lapaev A.O. Comparison of polinomial multiplication algorithms. International conference Polynomial Computer Algebra. St. Petersburg, PDMI RAS, 2008. P. 39 - 40. (Russian)
  14. Malaschonok G.I., Betin A.A. On the computation of complex roots of polynomial. Tambov University Reports. Natural and Technical Sciences. V. 13, part. 1, 2008. P. 138-141. (Russian)
  15. Malashonok G.I., Starov M.V. On the computation of matrix powers and matrix functions. Tambov University Reports. Natural and Technical Sciences. V. 13, part. 1, 2008. P. 133-138. (Russian)
  16. Pereslavtseva O.N. Method for computing of matrix characteristic polynomial. Tambov University Reports. Natural and Technical Sciences. V. 13, part. 1, 2008. P. 131-133. (Russian)
  17. Malaschonok G.I. On computation of kernel of operator acting in a module. Tambov University Reports. Natural and Technical Sciences. V. 13, part. 1, 2008. P. 129-131. (Russian)
  18. Valeev Yu.D. Computational experiments for parallel polynomial and matrix algorithms in LLP scheme. Tambov University Reports. Natural and Technical Sciences. V. 13, part. 1, 2008. P. 126-129. (Russian)
  19. Pereslavtseva O.N. On evaluation of characteristic polynomial coefficients. Tambov University Reports. Natural and Technical Sciences. V. 13, part. 1, 2008. P. 124-126. (Russian)
  20. Zuev M.S. Out-of-core matrix computation. Tambov University Reports. Natural and Technical Sciences. V. 13, part. 1, 2008. P. 121-124. (Russian)
  21. Malaschonok G.I., Zuev M.S. On computing of inverse matrix. Tambov University Reports. Natural and Technical Sciences. V. 13, part. 1, 2008. P. 115-121. (Russian)
  22. Malashonok G.I., Valeev Y.D. The control of parallel calculations in recursive symbolic-numerical algorithms. Proceedings of conference of PaVt ' 2008 (St.-Petersburg). Chelyabinsk: Publishing house JuUrGu, 2008. P. 153-165. (Russian) http://omega.sp.susu.ac.ru/books/conference/PaVT2008/papers/full_papers.016.pdf
  23. Lapaev A.O. Implementation of Karatsuba's algorithm and complexity evaluations. Tambov University Reports. Natural and Technical Sciences. V. 13, part. 1, 2008. P. 142. (Russian)
  24. Malashonok G.I. Parallel system of computer algebra. Conference "Engineering systems". Moscow. RUPF University, 2008. P. 98. (Russian)
  25. Malashonok G. I, Pereslavtseva O. N, Sazhneva O.A, Starov M.V. Algorithms of computer algebra. Part 1. The textbook. Tambov: Publishing house TSU named after G.R.Derzhavin, 2008. (Russian)
  26. Malaschonok N.A. Estimation of accuracy of polynomial roots in the algorithm for symbolic solving of differential equations. International conference Polynomial computer algebra, april 4-7, 2008. P. 53-56. (Russian)
2007
  1. Malashonok G. I, Betin А.А. On computation of complex roots of polynomials. Tambov University Reports. Natural and Technical Sciences. V. 12, part. 1, 2007. P. 150-152. (Russian)
  2. Akritas A.G., Malaschonok G.I. Computations in Modules over Commutative Domains. Computer Algebra in Scientific Computing, LNCS 4770, Springer, Berlin 2007. P. 44-59.
  3. Malaschonok N.A. Assimptotic series. Tambov: TSU publishing house, 2007. (Textbook)
  4. Malaschonok N.A. Invariants of afiine group of line in space of polynomials. Tambov University Reports. A series: Natural and Technical Sciences. V. 12, part. 1, 2007. P. 486-488. (Russian)
  5. Malaschonok N.A. Solving differential equations by parallel Laplace method with assured accuracy. Serdica, Journal of Computing, Sofia, Bulgaria,2007, vol.33, №4, 20-35.
  6. Malaschonok N.A. Ortogonal groups on two-demansinal algebras. Tambov University Reports. A series: Natural and Technical Sciences. V. 12, part. 1, 2007. P. 34-37. (Russian)
  7. Malaschonok G.I., Lapaev A.O, Pirutin I.A. Implementation of Karatsuba's algorithm. Tambov University Reports. A series: Natural and Technical Sciences. V. 12, part. 1, 2007. P. 130. (Russian)
  8. Zuev M.S. Algorithm complexity for sparse polynomial matrices. Tambov University Reports. A series: Natural and Technical Sciences. V. 12, part. 1, 2007. P. 131. (Russian)
  9. Pereslavtseva O. N. Computing experiments with algorithms of calculation of matrix characteristic polynoms. Tambov University Reports. A series: Natural and Technical Sciences. V. 12, part. 1, 2007. P. 126-128. (Russian)
2006
  1. Akritas A.G., Malaschonok G.I., Vigklas P.S. The SVD-Fundamental Theorem of Linear Algebra. Nonlinear Analysis: Modeling and Control, V.11, No.2, 2006, 123-136. (Russian)
  2. Malaschonok N.A. On math education. Modern math education and problems of history and methodology if mathematics: Proceedings of International scientific conference, Tambov, September, 2006, 251.
  3. Malaschonok N.A. Invariants of the real line affine group on the space of polynomials “Proceedings of the conference “Harmonic analysis on homogenous spaces, representations of Lie groups and quantization”.Tambov University Reports. A series: Natural and Technical Sciences. V. 12, part. 1, 2007. P. 53 - 56.
  4. Malaschonok N.A. Parallel Laplace method with assured accuracy by symbolic computations. “Computer Algebra in Scientific Computing”. Springer-Verlag, Berlin Heidelberg, 2006, p. 251 – 260.
  5. Malaschonok N.A. Solving differential equations by parallel Laplace method with assured accuracy. Abstracts of ACA 2006, Bulgaria, Varna, 2006, p. 53.
  6. Akritas A.G., Malaschonok G.I. Computation of Adjoint Matrix. Computational Science, ICCS 2006, LNCS 3992, Springer, Berlin. 2006, 486-489.
  7. Sazhneva O.A. Solving linear equations systems over polynom ring by p-adic method XI Derzhavinskie chtenia. TSU of G.R.Derzhavin. Tambov, September 3, 2006. (Russian)
  8. Malaschonok G.I., Lapaev A.O. Static scheme for parallel calculation of determinant, adjoint matrix and solving linear equations systems in the ring of integer numbers. XI Derzhavinskie chtenia. TSU of G.R.Derzhavin.Tambov, September 3, 2006. (Russian)
  9. Pereslavtseva O.N. Estimation the number of bit multiplications in algorithms of computation of determinant, a characteristic polynomial and adjoint matrix. XI Derzhavinskie chtenia. TSU of G.R.Derzhavin.Tambov, September 3, 2006. (Russian)
  10. Malaschonok G.I., Kazakov V.N. Exelerate excluding of highest variables in Grobner basis computaations. XXI Derzhavinsky chtenia TSU of G.R.Derzhavin.Tambov, September 3, 2006. (Russian)
  11. Malaschonok G.I., Valeev Y.D. Recursive parallelization of symbolic-number algorthms. Tambov University Reports. A series: Natural and Technical Sciences. 2006. Т.11, v. 4, p. 536-549.
  12. Kazakov V.N. Preprocessing in modular algorithm. Tambov University Reports. A series: Natural and Technical Sciences. V. 11, part. 4, 2006. P. 555-557.
  13. Zuev M.S. Pilot algorithm for computation adjoint matrix and determinant. Tambov University Reports. A series: Natural and Technical Sciences. V. 11, part. 4, 2006. P. 550-554.
  14. Tararova S.M. Research of methods for solving systems of linear equations. Tambov University Reports. A series: Natural and Technical Sciences. V. 11, part. 4, 2006. P. 86
  15. Kazakov V.N. Comparison of methods for computing series of polynomial remainders. Tambov University Reports. A series: Natural and Technical Sciences. V. 11, part. 4, 2006.
  16. Мalaschonok G.I., Zuev M.S. Generalised algorithm of inverse matrix computation. Tambov University Reports. A series: Natural and Technical Sciences. 2006.V. 11, part. 4, 2006. P.
  17. Malaschonok G.I., Valeev Y.D. Dynamic scheme of tasks distribution in cluster on algorithm graph. Tambov University Reports. A series: Natural and Technical Sciences. V. 11, part. 4, 2006. P. 536-549.
  18. Valeev U.D. History of parallel computations. // Modern math eductaion and problems of history and methodology if science. Tambov: Perhin's R.V. publishing house, 2006.
  19. Zuev M.S. History of parallel matrix computations. // Modern math eductaion and problems of history and methodology if science. Tambov: Perhin's R.V. publishing house, 2006.
  20. Pereslavceva O.N. History and modern status of theory of computation characteristic polynomial. // Modern math eductaion and problems of history and methodology if science. Tambov: Perhin's R.V. publishing house, 2006.
  21. Sazhenva O.A. Classic and modern methods for solving systems of linear equations. // Modern math eductaion and problems of history and methodology if science. Tambov: Perhin's R.V. publishing house, 2006.
  22. Malachonok G.I. Discrete math with elements of computer algebra. The manual. Tambov: TSU publishing house, 2006.
  23. Malachonok G.I., Valeev Y.D., Zuev M.S. Parallel computer algebra. Introduction. Manual.. Tambov: TSU publishing house, 2006.
  24. Malachonok G.I., Valeev Y.D., Zuev M.S. Parallel computations of binary trees in computer algebra. The manual. Tambov: TSU publishing house, 2006.
2005
  1. Malaschonok G.I. On the construction of parallel system of computer algebra. Differencial equations and systems of computer algebra. Proceedings of international conference. (Brest, 5-8 sept. 2005). P. 1. - Minsk, BGPU, 2005, 306-307. (Russian)
  2. Malaschonok N.A. Estimations for Laplase mtehod of symbolic solution systems of differential equations. Proceedings of Differential equations and systems of computer algebra. Minsk, 195—199.
  3. Malaschonok N.A. An algorithm to settle the necessary exactness in Laplace transform method. Proceed. of Int. Conf. Computer Science and Informatic Technologies. Erevan, 2005, 453—457.
  4. Malaschonok N.A. Invariants of the real line affine group on spaces of polynomials. Tambov State University Reports. 2005, V. 10, part. 4.
  5. Malaschonok N.A., Kazakov V.N. Lagrange equations on the agebras of generalised complex numbers. Tambov State University Reports. 2005, V. 10, part. 1, 48–49.
  6. Malaschonok G.I. In the Direction of Parallel Computer Algebra System. Computer Science and Information Technologies. Proc. Conf. ( Sept.19-23, 2005. Acad. Sci. of Armenia.) Yerevan, 2005, 451-453.
  7. Malaschonok G.I., Valeev Yu.D., Zuev M.S. About parallel matrix algorithmes in computer algebra. Tambov University Reports, V.10, part. 1. 2005, 161-163. (Russian)
  8. Malaschonok G.I., Zuev M.S. Representation of matrices by means of quad-trees. Tambov University Reports, V.10, part.1. 2005, 157-160. (Russian)
  9. Malaschonok G.I., Valeev Yu.D. On the parallel programs development Tambov University Reports, V.10, part.1. 2005, 154-156.(Russian)
2004
  1. Malaschonok G.I., Avetisan A.I., Valeev Yu.D., Zuev M.S. Parallel algorithmes of computer algebra. Proceeding of the institute of system programming, 2004., V.8, part. 2. P.169-180. (Russian)
  2. Akritas A.G., Malaschonok G.I. Applictions of singular-value decomposition (SVD). Mathematics and computers in simulation, vol.67, iss.1-2, no.3, 2004, 15-31. akma04SVD.pdf (353k)
  3. Valeev. Yu.D. Parallel scheme for polynomial multiplication. // Proceedings of math center named after N.I. Lobachevskiy. V. 23. Kazan. Kazan math community publishing house. 2004.
  4. Valeev Yu.D., Malaschonok G.I. Complexity of algorithms of polynomial multiplication. Proceeding of 6-th International conference. "Descrete models in control theory. , VMiK MSU named after M.V. Lomonosov, 2004, 32-40. (Russian) mava04DMrus.pdf (147k)
  5. Malaschonok G.I. Complexity Considerations in Computer Algebra. Computer Algebra in Scientific Computing. Techn. Univ. Munchen, Garching, Germany, 2004. pp. 325-332 ma04CASCps.zip (53k); ma04CASCdvi.zip(13k)
  6. Malaschonok G.I. Complexity of fast multiplication on sparse structures. Textbook Algebra, Logic and Cybernetics. Proceeding of International conference, Irkutsk, p. 175—177.
  7. Malaschonok G.I., Satina E.S. Fast Multiplication and Sparse Structures. Programming and Computer Software, Vol. 30, No. 2, 2004, pp. 105-109. masa04PrRUSps.zip(56k); masa04Pr.pdf(42k)
  8. Malaschonok N.A. Hydrodinamics in Two-Dimensional algebra. Computer Algebra in Scientific Computing. Techn. Univ. Munchen, Garching, Germany, 2004. na_casc04.pdf
  9. Valeev Yu.D., Malaschonok G.I. On the forms of polynomials for parallel calculations Tambov University Reports, V.9, part. 1, 2004. P.149-150.
  10. Malaschonok G.I., Satina E.S. Karacuba's and Shtrassen's algorithms of multiplication for sparse structures. Tambov University Reports, V.9, part. 1, 2004. P. 152-154. (Russian)
2003
  1. Malaschonok G.I. About solving linear equations systems by the p-adic method. Programming , N2, 2003, p.8-22. (Russian) ma03Pr.pdf (106k); Ma03PrRUSps.zip (103k)
  2. Malaschonok G.I. About perspectives of mathematical guarantee development. Tambov University Reports, V.8, part.1. 2003, 195-196.(Russian) O_perspektivah_.pdf (900k);
  3. Malaschonok G.I., Betin A.A. Operations with polinomials, presented by binary trees. Tambov University Reports, V.8, part.1. 2003, 197.(Russian)
  4. Malaschonok G.I. Solution of systems of linear equations by the p-adic method. Programmirovanie, V.29, No.2, 2003, 1-15. URL: Engl. transl.: Programming and Computer Software, V.29, No.2, 2003, 59-71. Ma03.pdf(130k) (preprint);
2002
  1. Malaschonok G.I. Matrix computational methods in commutative rings. Tambov, TSU, 2002, 213 p. (Russian)
  2. Malaschonok G.I., Ushakova E.V. Efficient "Mathematica": Problems of Mechanics. Textbook, Tambov, 2002. (Russian).
  3. G.I. Malaschonok G.I., Ushakova E.V. Efficient "Mathematica": Problems of Simulation in Biology and Medicine. Textbook, Tambov, 2002. (Russian).
  4. G.I. Malaschonok G.I., Ushakova E.V. Efficient "Mathematica": Problems of Heat Transfer. Textbook, Tambov, 2002. (Russian).
2001
  1. Malaschonok G.I. Some problems in the modules over commutative rings. Tambov University Reports, V.6, N.3, 2001, 320-326. (Russian) Ma01aRus.dvi (52k)
  2. Malaschonok G.I. Solution of Systems of Linear Diophantine Equations, Computer Algebra in Scientific Computing - CASC'01, Springer, 2001, 401-415. Ma01.dvi (58k)
  3. Abdeljaoued J., G.I. Malaschonok G.I. Efficient Algorithms for Computing the Characteristic Polynomial in a Domain, J. of Pure and Applied Algebra, V. 156, I. 2-3, 2001, 127-145. AbMa01.dvi (66k); AbMa01.pdf (131k).
  4. Akritas A.G., Malaschonok G.I. Fast Matrix Computation of Subresultant Polynomial Remainder Sequences, Computer Algebra in Scientific Computing - CASC 2000, Springer, 2000, 1-11. AkMa00.dvi (47k)
2000
  1. Malaschonok G.I. Solution of a systems of linear Diophantine equations. Tambov University Reports, V.5, N.5. 2000, 620-628. (Russian) Ma003Rus.dvi (68k)
  2. Malaschonok G.I. Effective Matrix Methods in Commutative Domains, Formal Power Series and Algebraic Combinatorics, Springer, Berlin, 2000, 506-517. Ma00.dvi (53k)
  3. Malaschonok G.I. Solution of a systems of linear equations over a commutative domains. Tambov University Reports, V.5, N.1. 2000, 147-154. (Russian) Ma002Rus.dvi (71k)
  4. Malaschonok G.I. A Fast Algorithm for Adjoint Matrix Computation, Tambov University Reports, V.5, N.1. 2000, 142-146. (Russian) Ma001Rus.dvi (36k)
  5. Malaschonok G.I. Efficient "Mathematica": Problems of Mathematical Analysis. Textbook, Tambov, 2000. (Russian).
1999
  1. Malaschonok G.I. Efficient Methods of Mathematical Analysis, Tambov University Reports, V.4, N.4, 1999, 457-460.
  2. Malaschonok G.I., Malaschonok N.A. Teaching of Efficient Mathematics, Tambov University Reports, V.4, N.4, 1999, 426-427.
  3. Malaschonok G.I. A Computation of the Characteristic Polynomial of an Endomorphism of a Free Module, Zap. Nauchnyh Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI), V.258, 1999, Teor. Predst. Din. Sist. Komb. i Algoritm. Metody. 4, 101-114. Ma99.dvi (53k)
1998
  1. Malaschonok G.I. The automorphism groups of the fourth order algebras with two (anti-) commutative generators. Proceedings of the conference III Derzhavinskie Chtenia, Tambov State University, Tambov, 1998, 11-12 (Russian).
1997
  1. Malaschonok G.I. Recursive Method for the Solution of systems of Linear Equations, Computational Mathematics (A. Sydow Ed., Proceedings of the 15th IMACS World Congress Vol. I, Berlin, August 1997), Wissenschaft and Technik Verlag, Berlin, 1997, 475-480. Ma97.dvi (39k)
  2. Malaschonok G.I. Recursive method for solution of systems of linear equations over commutative rings. Proceedings of the conference II Derzhavinskie Chtenia, Tambov State University, Tambov, 1997, 17-18 (Russian).
  3. Malaschonok G.I. About complexity of the recursive method for solution linear systems over commutative rings. Proceedings of the conference II Derzhavinskie Chtenia, Tambov State University, Tambov, 1997, 16-17 (Russian).
1996
  1. Akritas A.G., Akritas E.K., Malaschonok G.I. Various proofs of Sylvester`s (determinant) identity. Mathematics and Computers in Simulation, Vol. 42, 1996, No.4-6, 585-593. AkMa96.dvi (35k)
1995
  1. Akritas A.G., Akritas E.K., Malaschonok G.I. Matrix computation of subresultant polynomial remainder sequences In integral domains. Reliable Computing, 1995, Vol. 1, No 4, 375-381. AkMa95.dvi (25k)
  2. Malaschonok G.I. Algorithms for computing determinants in commutative rings. Diskret. Mat., 1995, Vol. 7, No. 4, 68-76 (Russian), Engl. transl.: Discrete Math. Appl., 1995, Vol. 5, No. 6, 557-566 (1996). Ma95.dvi (27k)
1994
  1. Zhukovskaya T.V., Malaschonok G.I., Romanenko G.V. Book of problems in higher mathematics. Textbook, TM High Aviation School, Tambov, 1994, (Russian).
  2. Akritas A.G., Akritas E.K., Malaschonok G.I. Matrix computation of subresultant polynomial remainder sequences in integral domains. International Conference INTERVAL'94 on Interval And Computer-Algebraic Methods in Science and Engineering, St.-Peterburg, March 7-10, 1994, 18-22.
1992
  1. Akritas A.G., Akritas E.K., Malaschonok G.I. Various Proofs of Sylvester's (Determinant) Identity. Proceedings SC 93, International IMACS Symposium on Symbolic Computation, 14-17 June 1993, Lille, France, 228-230.
1991
  1. Malaschonok G.I. Algorithms for the solution of systems of linear equations in commutative rings. Effective methods in Algebraic Geometry, Progr. Math., V. 94, Birkhauser Boston, Boston, MA, 1991, 289-298. Ma91.dvi (36k)
  2. Malaschonok G.I. Device for calculation of linear convolution, Copyright Certificate SU 1681309 A1 (G06F 15/ 31,9/34) 01.06.1991 (Russian).
1989
  1. Malaschonok G.I. Computer algebra in modern computing systems. Social-technic-economical systems: optimality, stability, survivability, Institute of cybernetics Ukrain. Acad. Sci., Kiev, 1989, 38-46 (Russian).
  2. Malaschonok G.I. The universal conveyor uniform co-processor. Problems of the programming of the uniform computing environments, Inst. Appl. Probl. of Math. and Mech., Preprint N 7, 1989, 35-40 (Russian).
  3. Malaschonok G.I. The construction principles for modular element of the computing environment. High-duty computing systems, Inst. Appl. Probl. of Math. and Mech., Preprint N 6-89, Lvov, 1989, 18-29 (Russian).
1988
  1. Malaschonok G.I. Modular parallelizing. Systolic computing structures, Inst. Appl. Probl. of Math. and Mech., Preprint N 3-87, 1988, 52-53. (Russian).
1987
  1. Malaschonok G.I. The solution of a system of linear equations over a commutative ring. Mat.Zametki, 1987, V. 42, No 4, 543-548 (Russian), Engl. transl.: Math. Notes, V. 42, No.3-4, 1987, 801-804. Ma87Rus.dvi (26k)
  2. Malaschonok G.I. The program of the solution of linear equations in the residue ring of integers. Fund of algorithms and programs Ukrain. Acad. Sci., N APO176, 3.10.1987 (Russian).
1986
  1. Malaschonok G.I. System of linear equations in a commutative ring. Ph.D. thesis, Kiev Univ., Kiev, 1986 (Russian).
  2. Malaschonok G.I., Tarasevich V.A. Algorithm of restoration of the information in sea MTS. The 4-th All-Union seminar Fundamental problems of sea electromagnetic researches, Kaciveli, October, 1986, (Russian).
  3. Malaschonok G.I. System of linear equations over commutative ring. Phys.-Mech. Inst. of the Ukrain. Acad. Sci., Lvov, Preprint N 114, 1986 (Russian).
1983
  1. Malaschonok G.I. Solution of a system of linear equations in an integral domain, Zh. Vychisl. Mat. i Mat. Fiz. V.23, No. 6, 1983, 1497-1500, (Russian), Engl. transl.: USSR J. of Comput. Math. and Math. Phys., V.23, No. 6, 1983. P. 497-1500. Ma83Rus.dvi (27k)
  2. Malaschonok G.I. Electrodynamics in Dirac's Hamiltonian form. VINITI, No. 1077-83 01.03.1983. P. 90-93 (Russian).
  3. Lapshinov O.N., Malaschonok G.I. Optimization the multiple-valued read-only storage. Multiple-valued elements, structures, systems. Naukova Dumka, Kiev, 1983. P. 32-42 (Russian).
1979
  1. J.V. Kovalchuk-Ivanuk, Ya.G. Brativnyk, G.I. Malaschonok. About one numerical method of determination of polynomial-parameters of the electronic circuits. Automation of communication means designing, EKOS, Moscow, 1979 P. 86-90 (Russian).