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» Adaptive Triangular System Solving
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PDPTA
2008
13 years 6 months ago
A Parallel Processing Architecture for Solving Large-Scale Linear Systems
Solving linear systems with a large number of variables is at the core of many scienti c problems. Parallel processing techniques for solving such systems have received much attent...
Arun Nagari, Itamar Elhanany, Ben Thompson, Fangxi...
CASC
2007
Springer
108views Mathematics» more  CASC 2007»
13 years 11 months ago
Comprehensive Triangular Decomposition
We introduce the concept of comprehensive triangular decomposition (CTD) for a parametric polynomial system F with coefficients in a field. In broad words, this is a finite part...
Changbo Chen, Oleg Golubitsky, François Lem...
CASC
2011
Springer
212views Mathematics» more  CASC 2011»
12 years 4 months ago
Semi-algebraic Description of the Equilibria of Dynamical Systems
Abstract. We study continuous dynamical systems defined by autonomous ordinary differential equations, themselves given by parametric rational functions. For such systems, we pro...
Changbo Chen, Marc Moreno Maza
ISSAC
2007
Springer
177views Mathematics» more  ISSAC 2007»
13 years 11 months ago
Component-level parallelization of triangular decompositions
We discuss the parallelization of algorithms for solving polynomial systems symbolically by way of triangular decompositions. We introduce a component-level parallelism for which ...
Marc Moreno Maza, Yuzhen Xie
TOMS
2011
101views more  TOMS 2011»
12 years 11 months ago
Partitioned Triangular Tridiagonalization
Abstract. We present a partitioned algorithm for reducing a symmetric matrix to a tridiagonal form, with partial pivoting. That is, the algorithm computes a factorization P AP T = ...
Miroslav Rozlozník, Gil Shklarski, Sivan To...