Results 1 
3 of
3
Parallel Numerical Linear Algebra
, 1993
"... We survey general techniques and open problems in numerical linear algebra on parallel architectures. We first discuss basic principles of parallel processing, describing the costs of basic operations on parallel machines, including general principles for constructing efficient algorithms. We illust ..."
Abstract

Cited by 773 (23 self)
 Add to MetaCart
We survey general techniques and open problems in numerical linear algebra on parallel architectures. We first discuss basic principles of parallel processing, describing the costs of basic operations on parallel machines, including general principles for constructing efficient algorithms. We illustrate these principles using current architectures and software systems, and by showing how one would implement matrix multiplication. Then, we present direct and iterative algorithms for solving linear systems of equations, linear least squares problems, the symmetric eigenvalue problem, the nonsymmetric eigenvalue problem, and the singular value decomposition. We consider dense, band and sparse matrices.
A characterization of onetoone modular mappings
 PARALLEL PROCESSING LETTERS
, 1996
"... In this paper, we deal with modular mappings as introduced by LeeandFortes [14, 13, 12], and we build upon their results. Our main contribution is a characterization of onetoone modular mappings that is valid even when the source domain and the target domain of the transformation have the same siz ..."
Abstract

Cited by 8 (7 self)
 Add to MetaCart
(Show Context)
In this paper, we deal with modular mappings as introduced by LeeandFortes [14, 13, 12], and we build upon their results. Our main contribution is a characterization of onetoone modular mappings that is valid even when the source domain and the target domain of the transformation have the same size but not the same shape. This characterization is constructive, and a procedure to test the injectivity of a given transformation is presented.
PVM: Parallel Virtual Machine: A Usersâ€™ Guide and Tutorial for Networked Parallel Computing
 Scientific and Engineering Computation
, 1994
"... ..."