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Parallel algorithms for numerical linear algebra /

This is the first in a new series of books presenting research results and developments concerning the theory and applications of parallel computers, including vector, pipeline, array, fifth/future generation computers, and neural computers.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Vorst, H. A. van der, 1944-, Dooren, Paul van
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam ; New York : North-Holland, 1990.
Colección:Advances in parallel computing ; v. 1.
Temas:
Acceso en línea:Texto completo
Texto completo

MARC

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245 0 0 |a Parallel algorithms for numerical linear algebra /  |c edited by Henk A. van der Vorst and Paul van Dooren. 
264 1 |a Amsterdam ;  |a New York :  |b North-Holland,  |c 1990. 
264 2 |a New York, N.Y., U.S.A. :  |b Distributors for the U.S. and Canada, Elsevier Science Pub. Co. 
300 |a 1 online resource (x, 330 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Advances in parallel computing ;  |v volume 1 
500 |a "Reprinted from the Journal of computational and applied mathematics, vol. 27, numbers 1 & 2 (September 1989)"--Title page verso 
504 |a Includes bibliographical references. 
520 |a This is the first in a new series of books presenting research results and developments concerning the theory and applications of parallel computers, including vector, pipeline, array, fifth/future generation computers, and neural computers. 
588 0 |a Print version record. 
505 0 |a Front Cover; Parallel Algorithms for Numerical Linear Algebra; Copyright Page; Preface; Table of Contents; Part 1: Systolic array algorithms; Chapter 1. A quadratically convergent parallel Jacobi process for diagonally dominant matrices with distinct eigenvalues; 1. Introduction; 2. Parallel annihilators; the first step; 3. The effect of a complete sweep; 4. Numerical examples; 5. Conclusions; References; Chapter 2. A Jacobi-like algorithm for computing the generalized Schur form of a regular pencil; 1. Introduction; 2. Normal pencils; 3. Description of the method; 4. Global convergence. 
505 8 |a 5. Ultimate convergence6. Numerical tests; 7. Conclusion; References; Chapter 3. Canonical correlations and generalized SVD: applications and new algorithms; 1. Introduction; 2. Applications; 3. SVD of products of three matrices; 4. New algorithms; 5. Final remarks; Acknowledgements; References; Chapter 4. From Bareiss' algorithm to the stable computation of partial correlations; 1. Introduction; 2. The Generalized Bareiss algorithm; 3. Cybenko's algorithm; 4. The Hyperbolic Cholesky algorithm; 5. Application to the computation of certain sample partial correlations. 
505 8 |a 6. Computation of arbitrary partial correlations7. Conclusions; Acknowledgement; References; Part 2: Message-passing systems; Chapter 5. A recursive doubling algorithm for solution of tridiagonal systems on hypercube multiprocessors; 1. Introduction; 2. The LU decomposition algorithm; 3. Solution of tridiagonal systems using prefix algorithms; 4. Parallel prefix algorithms on hypercube multiprocessors; 5. Estimated speedup and efficiency; 6. Experimental results and conclusions; References; Chapter 6. Least squares modifications with inverse factorizations: parallel implications. 
505 8 |a 1. Introduction2. Updating R-1; 3. Downdating R-1; 4. Summary and parallel implications; Acknowledgements; References; Chapter 7. Solution of sparse positive definite systems on a hypercube; 1. Introduction; 2. Solution of sparse symmetric positive definite systems; 3. Parallel Cholesky factorization; 4. Symbolic factorization; 5. Sparse triangular solution; 6. Ordering; 7. Some experiments and concluding remarks; References; Chapter 8. Some aspects of parallel implementation of the finite-element method on message passing architectures; 1. Introduction. 
505 8 |a 2. The model problem and finite-element discretization3. Overview of computations; 4. Cost analysis; 5. Numerical experiments; 6. Conclusions; Appendix; References; Part 3: Algorithms for parallel shared-memory systems; Chapter 9. An overview of parallel algorithms for the singular value and symmetric eigenvalue problems; 1. Introduction; 2. Jacobi methods; 3. Reduction to tridiagonal form and multisectioning; 4. Performance of eigensolvers; 5. Singular value decomposition; 6. Performance of SVD algorithms; 7. Conclusions; Acknowledgements; References. 
546 |a English. 
650 0 |a Parallel algorithms. 
650 0 |a Parallel processing (Electronic computers) 
650 0 |a Algebras, Linear. 
650 0 |a Numerical calculations. 
650 6 |a Algorithmes parall�eles.  |0 (CaQQLa)201-0315035 
650 6 |a Parall�elisme (Informatique)  |0 (CaQQLa)201-0057785 
650 6 |a Alg�ebre lin�eaire.  |0 (CaQQLa)201-0001189 
650 6 |a Calculs num�eriques.  |0 (CaQQLa)201-0012082 
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650 7 |a COMPUTERS  |x Machine Theory.  |2 bisacsh 
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650 7 |a Algebras, Linear  |2 fast  |0 (OCoLC)fst00804946 
650 7 |a Numerical calculations  |2 fast  |0 (OCoLC)fst01041288 
650 7 |a Parallel algorithms  |2 fast  |0 (OCoLC)fst01052920 
650 7 |a Parallel processing (Electronic computers)  |2 fast  |0 (OCoLC)fst01052928 
650 7 |a Alg�ebre lin�eaire.  |2 ram 
650 7 |a Parall�elisme (informatique)  |2 ram 
650 7 |a Calculs num�eriques.  |2 ram 
700 1 |a Vorst, H. A. van der,  |d 1944- 
700 1 |a Dooren, Paul van. 
776 0 8 |i Print version:  |t Parallel algorithms for numerical linear algebra  |z 0444886214  |w (DLC) 89071001  |w (OCoLC)20800283 
830 0 |a Advances in parallel computing ;  |v v. 1. 
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