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PARA
2004
Springer
13 years 10 months ago
Optimization of a Statically Partitioned Hypermatrix Sparse Cholesky Factorization
The sparse Cholesky factorization of some large matrices can require a two dimensional partitioning of the matrix. The sparse hypermatrix storage scheme produces a recursive 2D par...
José R. Herrero, Juan J. Navarro
MOC
2000
173views more  MOC 2000»
13 years 4 months ago
Computation of Gauss-Kronrod quadrature rules
Recently Laurie presented a new algorithm for the computation of (2n+1)-point Gauss-Kronrod quadrature rules with real nodes and positive weights. This algorithm first determines a...
Daniela Calvetti, Gene H. Golub, William B. Gragg,...
SIAMMAX
2010
224views more  SIAMMAX 2010»
12 years 11 months ago
Robust Approximate Cholesky Factorization of Rank-Structured Symmetric Positive Definite Matrices
Abstract. Given a symmetric positive definite matrix A, we compute a structured approximate Cholesky factorization A RT R up to any desired accuracy, where R is an upper triangula...
Jianlin Xia, Ming Gu
PPAM
2007
Springer
13 years 11 months ago
New Data Structures for Matrices and Specialized Inner Kernels: Low Overhead for High Performance
Dense linear algebra codes are often expressed and coded in terms of BLAS calls. This approach, however, achieves suboptimal performance due to the overheads associated to such cal...
José R. Herrero
PPOPP
1991
ACM
13 years 8 months ago
Coarse-Grain Parallel Programming in Jade
This paper presents Jade, a language which allows a programmer to easily express dynamic coarse-grain parallelism. Starting with a sequential program, a programmer augments those ...
Monica S. Lam, Martin C. Rinard