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ICPPW
2002
IEEE
13 years 10 months ago
Parallel Cholesky Factorization of a Block Tridiagonal Matrix
In this paper we discuss the parallel implementation of the Cholesky factorization of a positive definite symmetric matrix when that matrix is block tridiagonal. While parallel im...
Thuan D. Cao, John F. Hall, Robert A. van de Geijn
IPPS
2000
IEEE
13 years 9 months ago
On Optimal Fill-Preserving Orderings of Sparse Matrices for Parallel Cholesky Factorizations
In this paper, we consider the problem of nding llpreserving ordering of a sparse symmetric and positive de nite matrix such that the reordered matrix is suitable for parallel fac...
Wen-Yang Lin, Chuen-Liang Chen
AUTOMATICA
2006
70views more  AUTOMATICA 2006»
13 years 5 months ago
A Toeplitz algorithm for polynomial J-spectral factorization
A block Toeplitz algorithm is proposed to perform the J-spectral factorization of a para-Hermitian polynomial matrix. The input matrix can be singular or indefinite, and it can ha...
Juan Carlos Zúñiga, Didier Henrion
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
IPPS
2010
IEEE
13 years 3 months ago
Performance evaluation of concurrent collections on high-performance multicore computing systems
This paper is the first extensive performance study of a recently proposed parallel programming model, called Concurrent Collections (CnC). In CnC, the programmer expresses her co...
Aparna Chandramowlishwaran, Kathleen Knobe, Richar...