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Computer Solution of Large Sparse Positive Definite Systems

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Release : 1981
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Computer Solution of Large Sparse Positive Definite Systems by : Alan George

Download or read book Computer Solution of Large Sparse Positive Definite Systems written by Alan George. This book was released on 1981. Available in PDF, EPUB and Kindle. Book excerpt:

Computer Solution of Large Linear Systems

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Release : 1999-06-16
Genre : Mathematics
Kind : eBook
Book Rating : 518/5 ( reviews)

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Book Synopsis Computer Solution of Large Linear Systems by : Gerard Meurant

Download or read book Computer Solution of Large Linear Systems written by Gerard Meurant. This book was released on 1999-06-16. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with numerical methods for solving large sparse linear systems of equations, particularly those arising from the discretization of partial differential equations. It covers both direct and iterative methods. Direct methods which are considered are variants of Gaussian elimination and fast solvers for separable partial differential equations in rectangular domains. The book reviews the classical iterative methods like Jacobi, Gauss-Seidel and alternating directions algorithms. A particular emphasis is put on the conjugate gradient as well as conjugate gradient -like methods for non symmetric problems. Most efficient preconditioners used to speed up convergence are studied. A chapter is devoted to the multigrid method and the book ends with domain decomposition algorithms that are well suited for solving linear systems on parallel computers.

Iterative Methods for Sparse Linear Systems

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Release : 2003-04-01
Genre : Mathematics
Kind : eBook
Book Rating : 342/5 ( reviews)

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Book Synopsis Iterative Methods for Sparse Linear Systems by : Yousef Saad

Download or read book Iterative Methods for Sparse Linear Systems written by Yousef Saad. This book was released on 2003-04-01. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- General.

Advances in Cryptology - CRYPTO '90

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Release : 2003-06-30
Genre : Computers
Kind : eBook
Book Rating : 243/5 ( reviews)

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Book Synopsis Advances in Cryptology - CRYPTO '90 by : Alfred J. Menezes

Download or read book Advances in Cryptology - CRYPTO '90 written by Alfred J. Menezes. This book was released on 2003-06-30. Available in PDF, EPUB and Kindle. Book excerpt: Crypto '90 marked the tenth anniversary of the Crypto conferences held at the University of California at Santa Barbara. The conference was held from August 11 to August 15, 1990 and was sponsored by the International Association for Cryptologic Research, in cooperation with the IEEE Computer Society Technical Committee on Security and Privacy and the Department of Computer Science of the University of California at Santa Barbara. 227 participants from twenty countries around the world. Crypto '90 attracted Roughly 35% of attendees were from academia, 45% from industry and 20% from government. The program was intended to provide a balance between the purely theoretical and the purely practical aspects of cryptography to meet the needs and diversified interests of these various groups. The overall organization of the conference was superbly handled by the general chairperson Sherry McMahan. All of the outstanding features of Crypto, which we have come to expect over the years, were again present and, in addition to all of this, she did a magnificent job in the preparation of the book of abstracts. This is a crucial part of the program and we owe her a great deal of thanks.

Direct Methods for Sparse Linear Systems

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Release : 2006-09-01
Genre : Computers
Kind : eBook
Book Rating : 136/5 ( reviews)

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Book Synopsis Direct Methods for Sparse Linear Systems by : Timothy A. Davis

Download or read book Direct Methods for Sparse Linear Systems written by Timothy A. Davis. This book was released on 2006-09-01. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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