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HPCC
2005
Springer
14 years 2 months ago
Fast Sparse Matrix-Vector Multiplication by Exploiting Variable Block Structure
Abstract. We improve the performance of sparse matrix-vector multiplication (SpMV) on modern cache-based superscalar machines when the matrix structure consists of multiple, irregu...
Richard W. Vuduc, Hyun-Jin Moon
ICPPW
2002
IEEE
14 years 2 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
MCS
2008
Springer
13 years 9 months ago
Approximation of matrix operators applied to multiple vectors
In this paper we propose a numerical method for approximating the product of a matrix function with multiple vectors by Krylov subspace methods combined with a QR decomposition of...
Marlis Hochbruck, Jörg Niehoff
BMCBI
2005
73views more  BMCBI 2005»
13 years 9 months ago
Empirical codon substitution matrix
Background: Codon substitution probabilities are used in many types of molecular evolution studies such as determining Ka/Ks ratios, creating ancestral DNA sequences or aligning c...
Adrian Schneider, Gina Cannarozzi, Gaston H. Gonne...
SIAMSC
2010
210views more  SIAMSC 2010»
13 years 3 months ago
On Two-Dimensional Sparse Matrix Partitioning: Models, Methods, and a Recipe
We consider two-dimensional partitioning of general sparse matrices for parallel sparse matrix-vector multiply operation. We present three hypergraph-partitioning-based methods, ea...
Ümit V. Çatalyürek, Cevdet Aykana...