Gennadi Malaschonok
Date of birth:
Position:
Associate Professor of Computer Simulation
Department
Education and degrees:
- 1987 Ph. D., Physics
and Mathematics (Algebra), Kiev State University, Ukraine
- 1985 Lvov State
University, Ukraine, Department of Mathematics
- 1978 Lvov Polytechnic
Institute, Ukraine, Department of Electrophysics
Scientific
activity in the fields:
- Algebra, Computational
Commutative Algebra, Computer Algebra
- Matrix Theory, Scientific Computations
- Efficient Matrix Methods
in Commutative Rings: Solution of Linear Systems
- Computation of gcd and
prs's, Computation of Characteristic Polynomials
Major Publications:
- Malaschonok G.I.
Solution of a system of linear equations in integral
domain. USSR Journal of Computational Mathematics
and Mathematical Physics. 1983, V. 23, № 6, P. 1497-1500
(Russian, translated into English)
- Malaschonok G.I.
Solution of a system of linear equations
over a commutative ring. Mathematical Notes
of the Academy of Sciences of the USSR. 1987, V.
42, № 4, P. 543-548 (Russian, translated into English).
- Malaschonok G.I.
Algorithms for the solution of systems of linear
equations in commutative rings. Effective Methods in Algebraic
Geometry. Ed. by T. Mora and C. Traverso, Birkhauser Verlag, Boston. 1991.
Progress in Mathematics. V. 94, P. 289-298.
- Malaschonok G.I.,
Akritas A.G., Akritas E.K. Matrix computation of subresultant
polynomial remainder sequences in integral domains. Reliable
Computing. 1995. V. 1. № 4. P. 375-381.
- Malaschonok G.I.
Algorithms for the determinants computation
in the commutative rings. Diskretnaya matematika. 1995.
V. 7, № 4. P. 68-76. (Russian, translated into English).
- Malaschonok G.I.,
Akritas A.G., Akritas E.K. Various proofs of Sylvester’s
(determinant) identity. Mathematics and Computers in Simulation.
1996, V. 42. P. 585-593.
