Solving linear systems with polynomial coefficients in Sage

Activity: Talk or presentationContributed talkunknown

Description

In several algorithms for recurrences and differential equations, the runtime bottleneck is the computation of a nullspace vector for a matrix with polynomial entries. The matrices arising from such algorithms are not generic, but not very structured either. We present a Sage implementation of several algorithms for computing the nullspace of polynomial matrices and say some words on our experience with their respective performance on matrices we are interested in.
Period04 Sept 2013
Event titleGroebner Bases, Resultants, and Linear Algebra
Event typeConference
LocationAustriaShow on map

Fields of science

  • 101002 Analysis
  • 101013 Mathematical logic
  • 101001 Algebra
  • 101012 Combinatorics
  • 101020 Technical mathematics
  • 102 Computer Sciences
  • 101 Mathematics
  • 101009 Geometry
  • 102011 Formal languages
  • 101006 Differential geometry
  • 101005 Computer algebra
  • 101025 Number theory
  • 101003 Applied geometry
  • 102025 Distributed systems

JKU Focus areas

  • Computation in Informatics and Mathematics