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SC
2003
ACM
14 years 4 months ago
Parallel Multilevel Sparse Approximate Inverse Preconditioners in Large Sparse Matrix Computations
We investigate the use of the multistep successive preconditioning strategies (MSP) to construct a class of parallel multilevel sparse approximate inverse (SAI) preconditioners. W...
Kai Wang, Jun Zhang, Chi Shen
PC
2010
101views Management» more  PC 2010»
13 years 5 months ago
An efficient parallel implementation of the MSPAI preconditioner
We present an efficient implementation of the Modified SParse Approximate Inverse (MSPAI) preconditioner. MSPAI generalizes the class of preconditioners based on Frobenius norm mi...
Thomas Huckle, A. Kallischko, A. Roy, M. Sedlacek,...
AMC
2006
80views more  AMC 2006»
13 years 11 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
COMPUTING
2007
103views more  COMPUTING 2007»
13 years 11 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
PC
2011
413views Management» more  PC 2011»
13 years 6 months ago
Exploiting thread-level parallelism in the iterative solution of sparse linear systems
We investigate the efficient iterative solution of large-scale sparse linear systems on shared-memory multiprocessors. Our parallel approach is based on a multilevel ILU precondit...
José Ignacio Aliaga, Matthias Bollhöfe...