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» Wavelet based preconditioners for sparse linear systems
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PPAM
2001
Springer
13 years 9 months ago
pARMS: A Package for Solving General Sparse Linear Systems on Parallel Computers
This paper presents an overview of pARMS, a package for solving sparse linear systems on parallel platforms. Preconditioners constitute the most important ingredient in the solutio...
Yousef Saad, Masha Sosonkina
COMPUTING
2007
103views more  COMPUTING 2007»
13 years 5 months ago
An algebraic approach for H-matrix preconditioners
Hierarchical matrices (H-matrices) approximate matrices in a data-sparse way, and the approximate arithmetic for H-matrices is almost optimal. In this paper we present an algebrai...
S. Oliveira, F. Yang
NAA
2004
Springer
117views Mathematics» more  NAA 2004»
13 years 10 months ago
Parallel Performance of a 3D Elliptic Solver
It was recently shown that block-circulant preconditioners applied to a conjugate gradient method used to solve structured sparse linear systems arising from 2D or 3D elliptic prob...
Ivan Lirkov
SIAMNUM
2011
139views more  SIAMNUM 2011»
13 years 6 days ago
Adaptive Wavelet Schemes for Parabolic Problems: Sparse Matrices and Numerical Results
A simultaneous space-time variational formulation of a parabolic evolution problem is solved with an adaptive wavelet method. This method is shown to converge with the best possibl...
Nabi Chegini, Rob Stevenson
SIAMSC
2010
120views more  SIAMSC 2010»
13 years 3 months ago
Weighted Matrix Ordering and Parallel Banded Preconditioners for Iterative Linear System Solvers
The emergence of multicore architectures and highly scalable platforms motivates the development of novel algorithms and techniques that emphasize concurrency and are tolerant of ...
Murat Manguoglu, Mehmet Koyutürk, Ahmed H. Sa...