» » Arpack User's Guide: Solution of Large-Scale Eigenvalue Problems With Implicityly Restorted Arnoldi Methods (Software, Environments, Tools)

Fb2 Arpack User's Guide: Solution of Large-Scale Eigenvalue Problems With Implicityly Restorted Arnoldi Methods (Software, Environments, Tools) ePub

by Richard B. Lehoucq,Danny C. Sorensen,C. Yang

Category: Mathematics
Subcategory: Science books
Author: Richard B. Lehoucq,Danny C. Sorensen,C. Yang
ISBN: 0898714079
ISBN13: 978-0898714074
Language: English
Publisher: Society for Industrial & Applied (April 1, 1998)
Pages: 142
Fb2 eBook: 1686 kb
ePub eBook: 1272 kb
Digital formats: rtf doc mbr rtf

Richard B. Lehoucq, Danny C. Sorensen, Chao Yang. List of figures List of tables Preface 1. Introduction to ARPACK.

Richard B. Naming conventions, Precisions, and types Shift and inver. ONTINUE READING. Sorensen and C. Yang. Download (djvu, . 9 Mb) Donate Read.

B. Lehoucq, D. C. Sorensen, C. The Implicitly Restarted Arnoldi Method. Structure of the Eigenvalue Problem. Krylov Subspaces and Projection Methods. The Arnoldi Factorization. Restarting the Arnoldi Method. The Generalized Eigenvalue Problem. Structure of the Spectral Transformation.

SOFTWARE, ENVIRONMENTS, TOOLS The series includes handbooks and software guides, as well as monographs on practical implementation of computational methods, environments, and tools. The implicitly restarted Arnoldi method in ARPACK Algorithm 1: Shifted QR-iteration Algorithm 2: The /c-step Arnoldi factorization Algorithm 3: Implicitly restarted Arnoldi method (IRAM). The set of rectangles represents the matrix equation VmHm + f m e^ of an Arnoldi factorization. The software described is based on the implicitly restarted Arnoldi method. A guide to understanding and using the software package ARPACK to solve large algebraic eigenvalue problems.

by R. B. Citations: 214 - 18 self. author {R. Lehoucq and D. Yang}, title {ARPACK Users Guide: Solution of Large Scale Eigenvalue Problems by Implicitly Restarted Arnoldi Methods.

The Arnoldi method belongs to a class of linear algebra algorithms that give a partial result after a small number of. .ARPACK Users Guide: Solution of Large-Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods". Archived from the original on 2007-06-26.

The Arnoldi method belongs to a class of linear algebra algorithms that give a partial result after a small number of iterations, in contrast to so-called direct methods which must complete to give any useful results (see for example, Householder transformation). The partial result in this case being the first few vectors of the basis the algorithm is building.

by Richard B. Lehoucq (Author), Danny C. Sorensen (Author), C. Yang (Author) . Yang (Author) & 0 more. ISBN-13: 978-0898714074. Book Condition: The cover and pages are in good condition, shows signs of normal wear. Fast Shipping from California. Supports Goodwill job training programs. Series: Software, Environments, Tools (Book 6). Скачать (djvu, . 9 Mb).

The software described is based on the implicitly restarted Arnoldi method.

A guide to understanding and using the software package ARPACK to solve large algebraic eigenvalue problems. source: Nielsen Book Data).

This book is a guide to understanding and using the software package ARPACK to solve large algebraic eigenvalue problems. The software described is based on the implicitly restarted Arnoldi method, which has been heralded as one of the three most important advances in large scale eigenanalysis in the past ten years. The book explains the acquisition, installation, capabilities, and detailed use of the software for computing a desired subset of the eigenvalues and eigenvectors of large (sparse) standard or generalized eigenproblems. It also discusses the underlying theory and algorithmic background at a level that is accessible to the general practitioner.
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