Author: Paul E. Plassmann
Publisher:
ISBN:
Category :
Languages : en
Pages : 268

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Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 816

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Author: K. Gallivan
Publisher: SIAM
ISBN: 9781611971705
Category : Mathematics
Languages : en
Pages : 207

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Book Description
Describes a selection of important parallel algorithms for matrix computations. Reviews the current status and provides an overall perspective of parallel algorithms for solving problems arising in the major areas of numerical linear algebra, including (1) direct solution of dense, structured, or sparse linear systems, (2) dense or structured least squares computations, (3) dense or structured eigenvaluen and singular value computations, and (4) rapid elliptic solvers. The book emphasizes computational primitives whose efficient execution on parallel and vector computers is essential to obtain high performance algorithms. Consists of two comprehensive survey papers on important parallel algorithms for solving problems arising in the major areas of numerical linear algebra--direct solution of linear systems, least squares computations, eigenvalue and singular value computations, and rapid elliptic solvers, plus an extensive up-to-date bibliography (2,000 items) on related research.

Author: Society for Industrial and Applied Mathematics
Publisher:
ISBN:
Category : Mathematical analysis
Languages : en
Pages : 498

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Author:
Publisher:
ISBN:
Category : Computer simulation
Languages : en
Pages : 370

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Author:
Publisher:
ISBN:
Category : Weights and measures
Languages : en
Pages : 476

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Author: Timothy A. Davis
Publisher: SIAM
ISBN: 0898716136
Category : Computers
Languages : en
Pages : 228

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Book Description
The sparse backslash book. Everything you wanted to know but never dared to ask about modern direct linear solvers. Chen Greif, Assistant Professor, Department of Computer Science, University of British Columbia.Overall, the book is magnificent. It fills a long-felt need for an accessible textbook on modern sparse direct methods. Its choice of scope is excellent John Gilbert, Professor, Department of Computer Science, University of California, Santa Barbara.Computational scientists often encounter problems requiring the solution of sparse systems of linear equations. Attacking these problems efficiently requires an in-depth knowledge of the underlying theory, algorithms, and data structures found in sparse matrix software libraries. Here, Davis presents the fundamentals of sparse matrix algorithms to provide the requisite background. The book includes CSparse, a concise downloadable sparse matrix package that illustrates the algorithms and theorems presented in the book and equips readers with the tools necessary to understand larger and more complex software packages.With a strong emphasis on MATLAB and the C programming language, Direct Methods for Sparse Linear Systems equips readers with the working knowledge required to use sparse solver packages and write code to interface applications to those packages. The book also explains how MATLAB performs its sparse matrix computations.Audience This invaluable book is essential to computational scientists and software developers who want to understand the theory and algorithms behind modern techniques used to solve large sparse linear systems. The book also serves as an excellent practical resource for students with an interest in combinatorial scientific computing.Preface; Chapter 1: Introduction; Chapter 2: Basic algorithms; Chapter 3: Solving triangular systems; Chapter 4: Cholesky factorization; Chapter 5: Orthogonal methods; Chapter 6: LU factorization; Chapter 7: Fill-reducing orderings; Chapter 8: Solving sparse linear systems; Chapter 9: CSparse; Chapter 10: Sparse matrices in MATLAB; Appendix: Basics of the C programming language; Bibliography; Index.

Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 564

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Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 702

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Author: David Hogben
Publisher:
ISBN:
Category : Mathematical statistics
Languages : en
Pages : 476

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