ПАРАЛЛЕЛЬНАЯ КОМПЬЮТЕРНАЯ АЛГЕБРА

Publications of Gennadi Malaschonok

(December, 2017)



Algebraic Algorithms

Symbolic Linear algebra

Commutative domains

  • Solving linear systems in the field of fractions [4, 5, 15, 23, 24, 41, 75].
  • Computing the adjoint and inverse matrix [4, 5, 15, 30, 32, 41, 67, 77].
  • Computing the matrix determinant [4, 5, 15, 19, 24, 41].
  • Computing the characteristic polynomial of a matrix [26, 35, 41].
  • Computing of PRS and GCD of two polynomials [17, 20, 34, 41].

Rings of principal ideals

  • Solving linear systems [9, 36,41].
  • Computing the matrix determinant [9, 36,41].
  • Computing the adjoint matrix [ 37,41].

Euclidean domains and fields

  • Solving linear systems (deterministic algorithms) [33, 36, 41, 42, 45].
  • Solving linear systems (randomized algorithms) [31, 32,41, 42, 45].

Polynomial roots and polynomial arithmetics: [71,78]

Groebner basis: [65, 72, 83, 81]

Parallel Computer Algebra

  • Control of parallel computing process [54, 57, 58, 73, 74].

  • Matrix Algorithms [41, 47, 53, 54,55, 56,60].

  • Characteristic polynomial [81].

  • Polynomial algorithms[47, 53 , 79].

Books

Algebraic Algorithms

  • System of linear equations over commutative ring [4].
  • Matrix computational methods in commutative rings [41].
  • Discrete mathematics with elements of computer algebra. [61].
  • Parallel computations on the binary trees in computer algebra. [59].
  • Parallel computer algebra. Introduction. [60].
  • Algorithms of computer algebra. Part 1. [72].
  • Parallel computer algebra. P.1. [81].

Computer Algebra Applications

  • Problems of Mathematical Analysis [29].
  • Problems of Heat Transfer [29].
  • Problems of Simulation in Biology and Medicine [39].
  • Problems of Mechanics [40].

Other

  • Computational complexity [22, 41, 46, 48, 49, 50, 51 ].
  • Electrodynamics in Dirac's Hamiltonian form [3].
  • Designing of high-duty computing systems [2, 10, 11, 12, 13, 14].
  • Software [6, 8].
  • Electronic circuits modeling [1].
  • Teaching of Efficient Mathematics [27, 28].
  • Problems in higher mathematics [18].

References

2017 

 138

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.

137

G. I. Malaschonok. MathPartner Computer Algebra // ISSN 0361-7688, Programming and Computer Software, 2017, Vol. 43, No. 2, pp. 112–118.

136

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.

135

Малашонок Г.И. Применение сервиса MаthPartner в образовании // Компьютеpные инстpументы в обpазовании. №3. С.-Пб., 2017.

134

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.

133

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.

132

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.

131

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.

130

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.

129

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.

128

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.

2016 

 127

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.

126

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.

125

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.

124

Gennadi Malaschonok. About Probabilistic Algorithm of Exact Matrix Inversion.International Conference on Mathematical Partnership, Parallel Computing and Computer Algebra: MathParCA-2016. P.46.

123

Gennadi Malaschonok. New Functions of MathPartner in 2015. International Conference on Mathematical Partnership, Parallel Computing and Computer Algebra: MathParCA-2016. P.6.

122

Alkiviadis G. Akritas, Gennadi Malaschonok. An Improvement on Lagrange's Quadratic Bound on the Val- ues of the Positive Roots of Polynomials. International Conference on Mathematical Partnership, Parallel Computing and Computer Algebra: MathParCA-2016. P.9.

121

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)

120

A.G. Akritas, G.I. Malaschonok, P.S. Vigklas. A Basic Result on the Theory of Subresultants // Serdica J. Computing, 2016 (in print)

119

Gennadi Malaschonok. MathPartner one year later // International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2016. P. 50-52.

118

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.

2015 

117

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.

116

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)

115

Malaschonok G.I., Kireev S.A. Tropical mathematics in MathPartner // International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2015. P. 42-44

114

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

113

Malaschonok G.I., Malashonok N.A. MathPartner for Education // International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2015. P. 50-52

112

Malaschonok G.I., Scherbinin A.S. New Algorithm of Triangular Decomposition. International conference MathParCA-2015, Turku-Abo, Finland, 2015. P. 6.

111

Malaschonok G.I. Khvorov S. Parallel Inversion of Integer Matrix. International conference MathParCA-2015, Turku-Abo, Finland, 2015. P. 7.

2014 

 110

Malaschonok G.I., Kireev S.A. Tropical mathematics and computer algebra // International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2014. P. 41-42. 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.

109

Malaschonok G.I., Borisov I.A. About MathPartner web service // International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2014. P. 50-51.

108

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.

107

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.

106

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.

2013 

 105

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, 2013 Parallel_symbolic_computation.pdf (7,18 MB) (in Russian) 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.

104

G.I.Malaschonok. Mathpar Language Guide.Tambov: Publishing House of TSU, 2013, 125pp

103

G.I.Malaschonok. Language Guide "Mathpar" .Tambov: Publishing House of TSU, 2013, 133pp. (in Russian)

102

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 )

2012 

 101

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. MalaschonokGI17_2.pdf (743 KB) (in Russian)

100

Gennadi Malaschonok. About Bruhat decomposition in domain. International conference Polynomial Computer Algebra. St.Petersburg, PDMI RAS, 2012. P. 54-56. GMalashonokSPb12.pdf (193 KB)

99

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)

98

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. PCA_2012_3.pdf (832 KB)

2011 

 97

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.

96

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. vestnic16_2011_4.pdf (1 893 KB)

2010 

 95

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)

94

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)

93

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.malashonok_g_2010_15_4.pdf

92

Malaschonok G.I. Computer mathematics for computational network. Tambov University Reports. Series: Natural and Technical Sciences. V. 15. Issue 1, 2010. P. 322-327.(Russian) malashonok_2010_15_1.pdf

91

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. (Russian)m_smirnov_2010_15_1.pdf

90

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.

89

Malaschonok G.I. Architecture of ParCA3 project. International conference Polynomial Computer Algebra.St.Petersburg, PDMI RAS, 2010. P. 44-47.

2009 

88

G.I. Malaschonok,Y.D. Valeev, A.O. Lapaev. 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)
87
G.I. Malaschonok. Control of parallel computing process. Tambov University Reports. Natural and Technical Sciences. V. 14, part. 1, 2009. p.269-274. (Russian) ma09_ru.pdf (5.8 Mb)
86
G.I. Malaschonok, A.M. Dobychin. 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)
85
G.I. Malaschonok. 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)
84
G.I. Malaschonok, Y.D. Valeev, M.S. Zuev, A.O. Lapaev. 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)
83
G.I.Malashonok, M.V.Starov. 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)
82
G.I. Malashonok. 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)
81
G.I. Malaschonok, M.V. Starov, A.A. Betin, O.N. Pereslavtseva, A.G. Pozdnikin. Parallel computer algebra. Part 1. The textbook. Tambov: Publishing house of TSU, 2009. (Russian)
2008 
 
80
G.I. Malashonok. On the parallel constructive mathematics. The international scientific conference "Modern mathematical education and problems of history and mathematics methodology". Tambov. - 2008. - Г‘.194-195. (Russian)
79
G.I. Malaschonok, Y.D. Valeev. Parallel polynomial recursive algorithms. International conference Polynomial Computer Algebra. St. Petersburg, PDMI RAS, 2008, p. 41-45. (Russian)
78
G.I. Malaschonok, A.A. Betin. On the computation of complex roots of polynomial. Tambov University Reports. Natural and Technical Sciences. V. 13, part. 1, 2008. p. 138-141. (Russian)
77
G.I. Malashonok, M.V. Starov. 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)
76
G.I. Malaschonok. 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)
75
G.I. Malaschonok, M.S.Zuev. On computing of inverse matrix. Tambov University Reports. Natural and Technical Sciences. V. 13, part. 1, 2008. p. 115-121. (Russian)
74
G.I. Malashonok, Y.D. Valeev. 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
73
G.I.Malashonok. Parallel system of computer algebra. Conference "Engineering systems". Moscow. RUPF University, 2008. p. 98. (Russian)
72
G.I.Malashonok, O.N. Pereslavtseva, O.A. Sazhneva, M.V. Starov. Algorithms of computer algebra. Part 1. The textbook. Tambov: Publishing house TSU named after G.R.Derzhavin, 2008. (Russian)
2007 
 
71
G.I.Malashonok, A.A. Betin. On computation of complex roots of polynomials. Tambov University Reports. Natural and Technical Sciences. V. 12, part. 1, 2007. p. 150-152. (Russian)
70
A.G.Akritas, G.I.Malashonok. Computations in Modules over Commutative Domains. Computer Algebra in Scientific Computing, LNCS 4770, Springer, Berlin 2007, 44-59.
69
G.I.Malashonok, A.O.Lapaev, I.A. Pirutin. Implementation of Karatsuba's algorithm. Tambov University Reports. A series: Natural and Technical Sciences. - 2007 - T. 12. - part.1. - p. 130. (Russian)
2006 
 
68
A.G.Akritas, G.I.Malashonok, P.S.Vigklas. The SVD-Fundamental Theorem of Linear Algebra. Nonlinear Analysis: Modeling and Control, V.11, No.2, 2006, 123-136. (Russian)
67
A.G.Akritas, G.I.Malashonok. Computation of Adjoint Matrix. Computational Science, ICCS 2006, LNCS 3992, Springer, Berlin. 2006, 486-489.
66
G.I. Malaschonok, A.O. Lapaev. 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)
65
G.I. Malaschonok, V.N. Kazakov. Exelerate excluding of highest variables in Grobner basis computations. XXI Derzhavinsky chtenia TSU of G.R.Derzhavin.Tambov, September 3, 2006. (Russian)
64
G.I.Malashonok, Y.D.Valeev. Recursive parallelization of symbolic-number algorthms. Tambov University Reports. A series: Natural and Technical Sciences. 2006. T.1, v. 4, p. 536-549. (Russian).
63
G.I.Malashonok, M.S.Zuev. Generalised algorithm of inverse matrix computation. Tambov University Reports. A series: Natural and Technical Sciences. 2006. T.11, v. 4,
62
G.I.Malashonok, Y.D.Valeev. Dynamic scheme of tasks distribution in cluster on algorithm graph. Tambov University Reports. A series: Natural and Technical Sciences. 2006. T.11, v. 4, (Russian).
61
G.I.Malashonok. Discrete mathematics with elements of computer algebra. Textbook. Tambov: TSU publishing house, 2006. (Russian)
60
G.I.Malashonok, Y.D. Valeev, M,S.Zuev. Parallel computer algebra. Introduction. Textbook.. Tambov: TSU publishing house, 2006. (Russian).
59
G.I.Malashonok, Y.D.Valeev, M,S.Zuev. Parallel computations on the binary trees in computer algebra. Textbook. Tambov: TSU publishing house, 2006. (Russian).
2005 
 
58
G.I. Malaschonok. 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)
57
G.I.Malaschonok. 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.
56
G.I. Malaschonok, U.D.Valeev, M.S. Zuev. About parallel matrix algorithmes in computer algebra. Tambov University Reports, V.10, N.1. 2005, 161-163. (Russian)
55
G.I. Malaschonok, M.S. Zuev. Representation of matrices by means of quad-trees. Tambov University Reports, V.10, N.1. 2005, 157-160. (Russian)
54
G.I. Malaschonok, U.D. Valeev. On the parallel programs development Tambov University Reports, V.10, N.1. 2005, 154-156.(Russian)
2004 
 
53
G.I. Malaschonok, A.I. Avetisan, U.D. Valeev, M.S. Zuev. Parallel algorithmes of computer algebra. Proceeding of the institute of system programming, 2004., V.8, P.2, p.169-180. (Russian)
52
A.G.Akritas, G.I.Malaschonok. Applictions of singular-value decomposition (SVD). Mathematics and computers in simulation, vol.67, iss.1-2, no.3, 2004, 15-31. URL: akma04SVD.pdf (353k)
51
U.D.Valeev, G.I. Malaschonok. Complexity of algorithms of polynomial multiplication. Proceeding of 6-th International conference. "Discrete models in control theory. , VMiK MSU named after M.V. Lomonosov, 2004, 32-40. URL: mava04DMrus.pdf (147k) (Russian)
50
G.I.Malaschonok. Complexity Considerations in Computer Algebra. Computer Algebra in Scientific Computing. Techn. Univ. Munchen, Garching, Germany, 2004. pp. 325-332 URL: ma04CASCps.zip (53k); ma04CASCdvi.zip(13k)
49
G.I. Malaschonok. Complexity of fast multiplication on sparse structures. Textbook Algebra, Logic and Cybernetics. Proceeding of International conference, Irkutsk, p. 175-177. (Russian).
48
G.I. Malaschonok, E.S. Satina. Fast Multiplication and Sparse Structures. Programming and Computer Software, Vol. 30, No. 2, 2004, pp. 105-109. URL: masa04PrRUSps.zip(56k); masa04Pr.pdf(42k)
47
U.D. Valeev, G.I. Malaschonok. On the forms of polynomials for parallel calculations Tambov University Reports, V.9, N.1, 2004, p.149-150. (Russian).
46
G.I. Malaschonok, E.S. Satina. Karacuba's and Shtrassen's algorithms of multiplication for sparse structures. Tambov University Reports, V.9, N.1, 2004, 152-154. (Russian)
2003 
 
45
G.I. Malaschonok. About solving linear equations systems by the p-adic method. Programming , N2, 2003, p.8-22. (Russian) URL: ../src/ma03Pr.pdf (106k); Ma03PrRUSps.zip(103k)
44
G.I. Malaschonok. About perspectives of mathematical guarantee development. Tambov University Reports, V.8, N.1. 2003, 195-196.(Russian)
43
G.I.Malaschonok, A.A. Betin. Operations with polinomials, presented by binary trees. Tambov University Reports, V.8, N.1. 2003, 197.(Russian)
42
G.I. Malaschonok. 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. URL: Ma03.pdf(130k) (preprint);
2002 
 
41
G.I. Malaschonok. Matrix computational methods in commutative rings. Tambov, TSU, 2002, 213 p. (Russian)
40
G.I. Malaschonok, E.V.Ushakova. Efficient "Mathematica": Problems of Mechanics. Textbook, Tambov, 2002. (Russian).
39
G.I. Malaschonok, E.V.Ushakova. Efficient "Mathematica": Problems of Simulation in Biology and Medicine. Textbook, Tambov, 2002. (Russian).
38
G.I. Malaschonok, E.V.Ushakova. Efficient "Mathematica": Problems of Heat Transfer. Textbook, Tambov, 2002. (Russian).
2001 
 
37
G.I. Malaschonok. Some problems in the modules over commutative rings. Tambov University Reports, V.6, N.3, 2001, 320-326. (Russian) URL: Ma01aRus.dvi(52k)
36
G.I. Malaschonok. Solution of Systems of Linear Diophantine Equations, Computer Algebra in Scientific Computing - CASC'01, Springer, 2001, 401-415. URL: Ma01.dvi(58k)
35
J. Abdeljaoued, G.I. Malaschonok. Efficient Algorithms for Computing the Characteristic Polynomial in a Domain, J. of Pure and Applied Algebra, V. 156, I. 2-3, 2001, 127-145. URL: AbMa01.dvi(66k); AbMa01.pdf(131k).
34
A.G.Akritas, G.I. Malaschonok. Fast Matrix Computation of Subresultant Polynomial Remainder Sequences, Computer Algebra in Scientific Computing - CASC 2000, Springer, 2000, 1-11. URL: AkMa00.dvi(47k)
2000 
 
33
G.I. Malaschonok. Solution of a systems of linear Diophantine equations. Tambov University Reports, V.5, N.5. 2000, 620-628. (Russian) URL: Ma003Rus.dvi(68k)
32
G.I. Malaschonok. Effective Matrix Methods in Commutative Domains, Formal Power Series and Algebraic Combinatorics, Springer, Berlin, 2000, 506-517. URL: Ma00.dvi(53k)
31
G.I. Malaschonok. Solution of a systems of linear equations over a commutative domains. Tambov University Reports, V.5, N.1. 2000, 147-154. (Russian) URL: Ma002Rus.dvi(71k)
30
G.I. Malaschonok. A Fast Algorithm for Adjoint Matrix Computation, Tambov University Reports, V.5, N.1. 2000, 142-146. (Russian) URL: Ma001Rus.dvi(36k)
29
G.I. Malaschonok. Efficient "Mathematica": Problems of Mathematical Analysis. Textbook, Tambov, 2000. (Russian).
1999 
 
28
G.I. Malaschonok. Efficient Methods of Mathematical Analysis, Tambov University Reports, V.4, N.4, 1999, 457-460.
27
G.I. Malaschonok, N.A. Malaschonok. Teaching of Efficient Mathematics, Tambov University Reports, V.4, N.4, 1999, 426-427.
26
G.I. Malaschonok. 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. URL: Ma99.dvi(53k)
1998 
 
25
G.I. Malaschonok. 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 
 
24
G.I. Malaschonok. 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. URL: Ma97.dvi(39k)
23
G.I. Malaschonok. 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).
22
G.I. Malaschonok. 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 
 
21
A.G. Akritas, E.K. Akritas, G.I. Malaschonok. Various proofs of Sylvester`s (determinant) identity. Mathematics and Computers in Simulation, Vol. 42, 1996, No.4-6, 585-593. URL: AkMa96.dvi(35k)
1995 
 
20
A.G. Akritas, E.K. Akritas, G.I. Malaschonok. Matrix computation of subresultant polynomial remainder sequences In integral domains. Reliable Computing, 1995, Vol. 1, No 4, 375-381. URL: AkMa95.dvi(25k)
19
G.I. Malaschonok. 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). URL: Ma95.dvi(27k)
1994 
 
18
T.V. Zhukovskaya, G.I. Malaschonok, G.V. Romanenko. Book of problems in higher mathematics. Textbook, TM High Aviation School, Tambov, 1994, (Russian).
17
A.G.Akritas, E.K.Akritas G.I. Malaschonok. 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.
1993 
 
16
A.G.Akritas, E.K.Akritas G.I. Malaschonok. 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 
 
15
G.I. Malaschonok. 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. URL: Ma91.dvi(36k)
14
G.I. Malaschonok. Device for calculation of linear convolution, Copyright Certificate SU 1681309 A1 (G06F 15/ 31,9/34) 01.06.1991 (Russian).
1989 
 
13
G.I. Malaschonok. Computer algebra in modern computing systems. Social-technic-economical systems: optimality, stability, survivability, Institute of cybernetics Ukrain. Acad. Sci., Kiev, 1989, 38-46 (Russian).
12
G.I. Malaschonok. 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).
11
G.I. Malaschonok. 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 
 
10
G.I. Malaschonok. Modular parallelizing. Systolic computing structures, Inst. Appl. Probl. of Math. and Mech., Preprint N 3-87, 1988, 52-53. (Russian).
1987 
 
9
G.I. Malaschonok. 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. URL: Ma87Rus.dvi(26k)
8
G.I. Malaschonok. 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 
 
7
G.I. Malaschonok. System of linear equations in a commutative ring. Ph.D. thesis, Kiev Univ., Kiev, 1986 (Russian).
6
G.I. Malaschonok, V.A.Tarasevich. 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).
5
G.I. Malaschonok. System of linear equations over commutative ring. Phys.-Mech. Inst. of the Ukrain. Acad. Sci., Lvov, Preprint N 114, 1986 (Russian).
1983 
 
4
G.I. Malaschonok. 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, 497-1500. URL: Ma83Rus.dvi(27k)
3
G.I. Malaschonok. Electrodynamics in Dirac's Hamiltonian form. VINITI, No. 1077-83 01.03.1983, 90-93 (Russian).
2
O.N. Lapshinov, G.I. Malaschonok. Optimization the multiple-valued read-only storage. Multiple-valued elements, structures, systems. Naukova Dumka, Kiev, 1983, 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, 86-90 (Russian).