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» Factoring Solution Sets of Polynomial Systems in Parallel
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IPPS
2003
IEEE
13 years 11 months ago
Parallel Direct Solution of Linear Equations on FPGA-Based Machines
The efficient solution of large systems of linear equations represented by sparse matrices appears in many tasks. LU factorization followed by backward and forward substitutions i...
Xiaofang Wang, Sotirios G. Ziavras
PC
2010
100views Management» more  PC 2010»
13 years 16 days ago
Analysis of the solution phase of a parallel multifrontal approach
We study the forward and backward substitution phases of a sparse multifrontal factorization. These phases are often neglected in papers on sparse direct factorization but, in man...
Patrick Amestoy, Iain S. Duff, Abdou Guermouche, T...
APPML
2006
71views more  APPML 2006»
13 years 5 months ago
The polynomial solution to the Sylvester matrix equation
For when the Sylvester matrix equation has a unique solution, this work provides a closed form solution, which is expressed as a polynomial of known matrices. In the case of non-u...
Qingxi Hu, Daizhan Cheng
IWPEC
2010
Springer
13 years 3 months ago
Inclusion/Exclusion Branching for Partial Dominating Set and Set Splitting
Abstract. Inclusion/exclusion branching is a way to branch on requirements imposed on problems, in contrast to the classical branching on parts of the solution. The technique turne...
Jesper Nederlof, Johan M. M. van Rooij
AMC
2006
80views more  AMC 2006»
13 years 5 months ago
Parallel preconditioned conjugate gradient optimization of the Rayleigh quotient for the solution of sparse eigenproblems
A parallel algorithm based on the multidimensional minimization of the Rayleigh quotient is proposed to evaluate the leftmost eigenpairs of the generalized symmetric positive defi...
Luca Bergamaschi, Angeles Martinez, Giorgio Pini