Numerical Linear Algebra for High-Performance Computers
Numerical Linear Algebra for High-Performance Computers
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DOI：
10.1137/1.9780898719611
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
J. Dongarra;Lain S. Duff;D. Sorensen;H. A. Vorst
中科院分区：
文献类型：
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作者：
J. Dongarra;Lain S. Duff;D. Sorensen;H. A. Vorst
来自出版商：本书对最近开发的技术和当前在高性能计算机上求解线性方程组和大规模特征值问题的理解进行了统一的处理。它快速介绍了这些线性代数应用的矢量和并行处理的世界。主题包括先进体系结构计算机的主要要素及其性能、最新算法开发以及用于直接求解稠密矩阵问题的软件、稀疏方程组的直接求解、稀疏方程组的迭代求解以及大型稀疏特征值问题的求解。本书取代了 1990 年出版的 SIAM 出版物《在向量和共享内存计算机上求解线性系统》。这本新书除了对现有文本进行了大量修订外，还包含大量新材料。作者简介：Jack J. Dongarra 是田纳西大学计算机科学系杰出教授和橡树岭国家实验室杰出科学家。 Iain S. Duff 是 CCLRC Rutherford Appleton 实验室数值分析组组长、图卢兹 CERFACS 并行算法组项目组长以及斯特拉斯克莱德大学数学客座教授。丹尼·索伦森 (Danny C. Sorensen) 是莱斯大学计算与应用数学教授。 Henk A. van der Vorst 是荷兰乌得勒支大学数值分析教授。
From the Publisher: This book presents a unified treatment of recently developed techniques and current understanding about solving systems of linear equations and large scale eigenvalue problems on high-performance computers. It provides a rapid introduction to the world of vector and parallel processing for these linear algebra applications. Topics include major elements of advanced-architecture computers and their performance, recent algorithmic development, and software for direct solution of dense matrix problems, direct solution of sparse systems of equations, iterative solution of sparse systems of equations, and solution of large sparse eigenvalue problems. This book supersedes the SIAM publication Solving Linear Systems on Vector and Shared Memory Computers, which appeared in 1990. The new book includes a considerable amount of new material in addition to incorporating a substantial revision of existing text. About the Authors: Jack J. Dongarra is a Distinguished Professor of Computer Science at the University of Tennessee and a Distinguished Scientist at Oak Ridge National Laboratory. Iain S. Duff is Group Leader of Numerical Analysis at the CCLRC Rutherford Appleton Laboratory, the Project Leader for the Parallel Algorithms Group at CERFACS in Toulouse, and a Visiting Professor of Mathematics at the University of Strathclyde. Danny C. Sorensen is a Professor of Computational and Applied Mathematics at Rice University. Henk A. van der Vorst is a Professor in Numerical Analysis at Utrecht University in the Netherlands.