Computations in Modules over Commutative Domains (original) (raw)

Algorithms for the solution of systems of linear equations in commutative ring

Gennadi Malaschonok

ArXiv, 2017

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Algorithms for the Computing Determinants in Commutative Rings

Gennadi Malaschonok

arXiv (Cornell University), 2017

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Algorithms of computing determinants in commutative rings

Gennadi Malaschonok

Discrete Mathematics and Applications, 1995

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Efficient algorithms for computing the characteristic polynomial in a domain

Gennadi Malaschonok

Journal of Pure and Applied Algebra, 2001

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A New Algorithm for the Computation of Canonical Forms of Matrices over Fields

Allan Steel

Journal of Symbolic Computation, 1997

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Review of Computational Commutative Algebra I by Martin Kreuzer and Lorenzo Robbiano

Tomás Recio

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Recognition and computations of matrix rings

Andre LEROY

Israel Journal of Mathematics, 1996

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Linear Algebra Over a Ring

Ivo Herzog

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Basic Module Theory over Non-commutative Rings with Computational Aspects of Operator Algebras

José Gómez-Torrecillas

Lecture Notes in Computer Science, 2014

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Computing Decompositions of Modules over Finite-Dimensional Algebras

Magdolna Szőke

Experimental Mathematics, 2007

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Solution of a system of linear equations in an integral ring

Gennadi Malaschonok

1983

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Fast error-free algorithms for polynomial matrix computations

John Baras

29th IEEE Conference on Decision and Control, 1990

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S C ] 2 6 N ov 2 01 7 Computation of the Adjoint Matrix

Gennadi Malaschonok

2018

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Computational linear algebra aspects

René Lamour

Differential-Algebraic Equations: A Projector Based Analysis, 2013

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Matrix Computations on Projective Modules Using Noncommutative Gröbner Bases

Claudia Gallego

Journal of Algebra, Number Theory: Advances and Applications

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A Model Theoretic Perspective of Matrix Rings

Tressl Marcus

arXiv: Logic, 2018

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An Algorithm Concerning One Dimensional Rings Of Constants In Polynomial Rings

Andrzej Nowicki

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Effective Matrix Methods in Commutative Domains

Gennadi Malaschonok

Formal Power Series and Algebraic Combinatorics, 2000

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Computation of the Adjoint Matrix

Gennadi Malaschonok

Lecture Notes in Computer Science, 2006

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Efficient algorithms and implementation in exact linear algebra. (Algorithmes et implantations efficaces en algèbre linéaire exacte)

Pascal Giorgi

2019

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SINGULAR 2-2 – A Computer Algebra System for Polynomial Computations

H. Schönemann, Viktor Levandovskyy

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Computational Linear and Commutative Algebra

Martin Kreuzer

2016

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On the Computation of the Minimal Polynomial of a Polynomial Matrix

Nikos Karampetakis

International Journal of Applied Mathematics and Computer Science, 2005

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Sparse matrices in computer algebra when using distributed memory: theory and applications: [preprint]

Gennadi Malaschonok

2017

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On the Computation of Minimal Polynomial Bases

ANTONIS IOANNIS Vardulakis

2004

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Extensions of Faddeev's algorithms to polynomial matrices

Predrag Stanimirovic

2009

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Algorithms for Commutative Algebras Over the Rational Numbers

Hendrik Lenstra

Foundations of Computational Mathematics, 2016

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An Algorithm to Compute Abelian Subalgebras in Linear Algebras of Upper-Triangular Matrices

juan valdés

2009

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Computing diagonal form and Jacobson normal form of a matrix using Gröbner bases

Viktor Levandovskyy

Journal of Symbolic Computation, 2011

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Solving linear equations over polynomial semirings

Paliath Narendran

Proceedings 11th Annual IEEE Symposium on Logic in Computer Science

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Computing characteristic polynomials of matrices of structured polynomials

Michael Monagan

ACM Communications in Computer Algebra

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