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ICPPW
2002
IEEE
14 years 4 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
JPDC
2008
135views more  JPDC 2008»
13 years 11 months ago
Parallel block tridiagonalization of real symmetric matrices
Two parallel block tridiagonalization algorithms and implementations for dense real symmetric matrices are presented. Block tridiagonalization is a critical pre-processing step for...
Yihua Bai, Robert C. Ward
EUROPAR
2003
Springer
14 years 4 months ago
Improving Performance of Hypermatrix Cholesky Factorization
Abstract. This paper shows how a sparse hypermatrix Cholesky factorization can be improved. This is accomplished by means of efficient codes which operate on very small dense matri...
José R. Herrero, Juan J. Navarro
EUROPAR
2005
Springer
14 years 4 months ago
A Paradigm for Parallel Matrix Algorithms:
A style for programming problems from matrix algebra is developed with a familiar example and new tools, yielding high performance with a couple of surprising exceptions. The under...
David S. Wise, Craig Citro, Joshua Hursey, Fang Li...
IPPS
2000
IEEE
14 years 3 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