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SIAMSC
2008
193views more  SIAMSC 2008»
14 years 9 months ago
Exact and Approximate Sparse Solutions of Underdetermined Linear Equations
Abstract. In this paper, we empirically investigate the NP-hard problem of finding sparsest solutions to linear equation systems, i.e., solutions with as few nonzeros as possible. ...
Sadegh Jokar, Marc E. Pfetsch
CORR
2012
Springer
183views Education» more  CORR 2012»
13 years 5 months ago
Twisting q-holonomic sequences by complex roots of unity
A sequence fn(q) is q-holonomic if it satisfies a nontrivial linear recurrence with coefficients polynomials in q and qn . Our main theorem states that q-holonomicity is preserve...
Stavros Garoufalidis, Christoph Koutschan
ISSAC
2011
Springer
225views Mathematics» more  ISSAC 2011»
14 years 19 days ago
On the structure of compatible rational functions
A finite number of rational functions are compatible if they satisfy the compatibility conditions of a first-order linear functional system involving differential, shift and q-...
Shaoshi Chen, Ruyong Feng, Guofeng Fu, Ziming Li
ISSAC
2009
Springer
141views Mathematics» more  ISSAC 2009»
15 years 4 months ago
Algorithms for regular solutions of higher-order linear differential systems
We study systems of higher-order linear differential equations having a regular singularity at the origin. Using the properties of matrix polynomials, we develop efficient method...
Moulay A. Barkatou, Thomas Cluzeau, Carole El Bach...
4OR
2006
100views more  4OR 2006»
14 years 9 months ago
Nondecomposable solutions to group equations and an application to polyhedral combinatorics
This paper is based on the study of the set of nondecomposable integer solutions in a Gomory corner polyhedron, which was recently used in a reformulation method for integer linear...
Matthias Jach, Matthias Köppe, Robert Weisman...