Computer solution of large linear systems
著者
書誌事項
Computer solution of large linear systems
（Studies in mathematics and its applications, v. 28）
Elsevier Science, 1999
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注記
Includes bibliography and index
内容説明・目次
内容説明
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.
目次
Introductory MaterialGaussian elimination for general linear systemsGaussian elimination for sparse linear systemsFast solvers for separable PDEsClassical iterative methodsThe conjugate gradient and related methodsKrylov methods for non--symmetric systemsPreconditioningMultigrid methods
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