On polynomial solutions of linear operator equations
ISSAC '95 Proceedings of the 1995 international symposium on Symbolic and algebraic computation
An introduction to pseudo-linear algebra
Selected papers of the conference on Algorithmic complexity of algebraic and geometric models
Rational solutions of linear difference equations
ISSAC '98 Proceedings of the 1998 international symposium on Symbolic and algebraic computation
Rational solutions of first order linear difference systems
ISSAC '98 Proceedings of the 1998 international symposium on Symbolic and algebraic computation
Fast deterministic computation of determinants of dense matrices
ISSAC '99 Proceedings of the 1999 international symposium on Symbolic and algebraic computation
The Exact Solution of Systems of Linear Equations with Polynomial Coefficients
Journal of the ACM (JACM)
Fast Probabilistic Algorithms for Verification of Polynomial Identities
Journal of the ACM (JACM)
On rational solutions of systems of linear differential equations
Journal of Symbolic Computation - Special issue on differential algebra and differential equations
Special formal series solutions of linear operator equations
Discrete Mathematics
Hypergeometric dispersion and the orbit problem
ISSAC '00 Proceedings of the 2000 international symposium on Symbolic and algebraic computation
Rational solutions of singular linear systems
ISSAC '00 Proceedings of the 2000 international symposium on Symbolic and algebraic computation
Fraction-free row reduction of matrices of skew polynomials
Proceedings of the 2002 international symposium on Symbolic and algebraic computation
Search for Polynomial Solutions of Linear Functional Systems by Means of Induced Recurrences
Programming and Computing Software
A recursive method for determining the one-dimensional submodules of Laurent-Ore modules
Proceedings of the 2006 international symposium on Symbolic and algebraic computation
Improved universal denominators
Programming and Computing Software
Output-sensitive modular algorithms for polynomial matrix normal forms
Journal of Symbolic Computation
Algorithms for regular solutions of higher-order linear differential systems
Proceedings of the 2009 international symposium on Symbolic and algebraic computation
Liouvillian solutions of irreducible linear difference equations
Proceedings of the 2009 international symposium on Symbolic and algebraic computation
On Computing the Hermite Form of a Matrix of Differential Polynomials
CASC '09 Proceedings of the 11th International Workshop on Computer Algebra in Scientific Computing
Fraction-free row reduction of matrices of Ore polynomials
Journal of Symbolic Computation
Journal of Symbolic Computation
On regular and logarithmic solutions of ordinary linear differential systems
CASC'05 Proceedings of the 8th international conference on Computer Algebra in Scientific Computing
Denominators of rational solutions of linear difference systems of an arbitrary order
Programming and Computing Software
Proceedings of the 37th International Symposium on Symbolic and Algebraic Computation
Linear differential and difference systems: EGδ- and EGσ- eliminations
Programming and Computing Software
Regular solutions of linear differential systems with power series coefficients
Programming and Computing Software
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We describe a new direct algorithm for transforming a linear system of recurrences into an equivalent one with nonsingular leading or trailing matrix. Our algorithm, which is an improvement to the EG elimination method [2], uses only elementary linear algebra operations (ranks, kernels and determinants) to produce an equation satisfied by the degrees of the solutions with finite support. As a consequence, we can bound and compute the polynomial and rational solutions of very general linear functional systems such as systems of differential or (q—) difference equations.