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Sunday, August 2, 2020 | History

1 edition of Computer solution of large linear systems found in the catalog.

Computer solution of large linear systems

by G. Meurant

  • 132 Want to read
  • 22 Currently reading

Published by North-Holland, Elsevier in Amsterdam, New York .
Written in English

    Subjects:
  • TECHNOLOGY & ENGINEERING,
  • SCIENCE,
  • Linear systems,
  • Operations Research,
  • System Theory

  • Edition Notes

    StatementG. Meurant
    SeriesStudies in mathematics and its applications -- v. 28, Studies in mathematics and its applications -- v. 28.
    Classifications
    LC ClassificationsQA402 .M48 2005eb
    The Physical Object
    Format[electronic resource] /
    Pagination1 online resource (xxii, 753 p.)
    Number of Pages753
    ID Numbers
    Open LibraryOL27026290M
    ISBN 101435605225
    ISBN 109781435605220
    OCLC/WorldCa178928929

      The size of these linear systems is generally large, as it is direct proportional to the number of nodes in the mesh. Indeed, it is not unusual to have millions of nodes in large meshes. This puts high demands on the linear algebra algorithms and software that is used to solve the linear systems in terms of computational complexity (i.e Cited by: 2. Y12M Solution of Large and Sparse Systems of Linear Algebraic Equations Documentation of Subroutines. Authors: Zlatev, Z., Wasniewski, J., Schaumburg, K. Free Preview.

    Many problems in practice require the solution of very large systems of linear equations Ax = b in which the matrix A, fortunately, is sparse, i.e., has relatively few nonvanishing elements. We show that general sparse sets of linear equations whose pattern is symmetric (or nearly so) can be solved efficiently by a multifrontal technique. The Cited by:

    The choice of algorithms depends on the special properties the matrices in practice have. An important class of large systems arises from the discretization of partial differential equations. In this case, the matrices are sparse (i.e., they contain mostly Brand: Springer International Publishing. Even though the book is devoted to the theory of linear systems, on a number of occasions, topics are presented that make connections to nonlinear systems. Chapter 1 presents background material on nonlinear differential equations and initial value problems, existence and uniqueness of solutions, properties of solutions and linearization.


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Computer solution of large linear systems by G. Meurant Download PDF EPUB FB2

Purchase Computer Solution of Large Linear Systems, Volume 28 - 1st Edition. Print Book & E-Book. ISBNIterative Solution of Large Linear Systems and millions of other books are available for Amazon Kindle.

Learn more. Iterative Solution of Large Linear Systems (Computer science and applied mathematics) by David M. Young (Author) › Visit Amazon's David M. Young Page. Find all the books, read about the author, and more.

/5(2). Computer solution of large linear systems Gerard Meurant. Hardbound. 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.

This chapter discusses the selection of an iterative method that can be used in solving the large linear system Au = b (1), where A is a large sparse positive definite matrix.

It also highlights the case where the system (corresponds to the finite difference solution of a self-adjoint elliptic partial differential equation. Computer Solution of Large Linear Systems. Edited by G. Meurant. Vol Pages () Download full volume.

Previous volume. Book chapter Full text access 3 - Gaussian Elimination for Sparse Linear Systems Pages Download PDF; select article 4 - Fast Solvers for Separable PDEs.

Computer solution of large linear systems. Amsterdam ; New York: North-Holland: Elsevier, (OCoLC) Material Type: Document, Internet resource: Document Type: Internet Resource, Computer File: All Authors / Contributors: Gérard A Meurant.

Tremendous progress has been made in the scientific and engineering disciplines regarding the use of iterative methods for linear systems. This second edition gives an in-depth, up-to-date view of practical algorithms for solving large-scale linear systems of equations, including a wide range of the best methods available today/5(9).

A guide to numerical methods for solving large sparse linear systems of equations, in particular those arising from the discretization of partial differential equations. This text covers both direct and iterative methods, including Gaussian elimination and alternating directions algorithms. Computer Solution of Large Linear Systems Jeffrey M.

Lemm, G. Meurant. Hardbound. 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. Ebooks list page: ; Computer Solution of Large Linear Systems; Computer Solution of Large Linear Systems; Iterative Krylov Methods for Large Linear Systems; [PDF] Iterative Solution of Large Sparse Systems of Equations (Applied Mathematical Sciences); Iterative Solution of Large Sparse Systems of Equations.

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 ar. Mathematics and Computer Science Department, Emory University, Atlanta, Georgia E-mail: [email protected] Received Ap ; revised J This article surveys preconditioning techniques for the iterative solution of large linear systems, with a focus on algebraic methods suitable for general sparse ma-trices.

provides an overview of direct methods for sparse linear systems. Several of the early conference proceedings in the s and s on sparse matrix problems and algorithms have been published in book form, including Reid (), Rose and Cited by: Aykanat C, Özgüner F, Ercal F and Sadayappan P () Iterative Algorithms for Solution of Large Sparse Systems of Linear Equations on Hypercubes, IEEE Transactions on Computers,(), Online publication date: 1-Dec Purchase Iterative Solution of Large Linear Systems - 1st Edition.

Print Book & E-Book. ISBNComputer Solution of Large Linear Systems 作者: Meurant, Gerard 编 出版年: 页数: 定价: $ 丛书: Studies in Mathematics and its Applications ISBN: A book of instructions, all the same systems illustrated with explanatory drawings, because large on the detailing of standard building elements from foundations to roof consequently computer solution of large linear systems.

I thought it was okay, as well as computer solution of large linear systems but to me it felt quite young however solution. Computer Solution of Large Linear Systems, () A compiler optimization algorithm for shared-memory multiprocessors. IEEE Transactions on Parallel and Distributed SystemsCited by: and the increased need for solving very large linear systems triggered a noticeable and rapid shift toward iterative techniques in many applications.

This trend can be traced back to the s and s when two important develop-ments revolutionized solution methods for large linear systems. First was the realizationCited by: Self-contained treatment includes a review of matrix theory and general properties of iterative methods; successive overrelaxation (SOR) method and stationary modified SOR method for consistently ordered matrices; nonstationary methods; generalizations of SOR theory and variants of method; 2nd-degree methods, alternating direction-implicit methods, and a comparison of.

This book describes, in a basic way, the most useful and effective iterative solvers and appropriate preconditioning techniques for some of the most important classes of large and sparse linear systems.

The solution of large and sparse linear systems is the most time-consuming part for most of the scientific computing simulations.Contributions. Dr. Young is best known for establishing the mathematical framework for iterative methods (a.k.a.

preconditioning).These algorithms are now used in computer software on high performance supercomputers for the numerical solution of large sparse linear systems arising from problems involving partial differentialin particular, the successive over Alma mater: Webb Institute of Naval Architecture.

2-Linear Equations and Matrices 27 bound for the number of significant digits. One's income usually sets the upper bound. In the physical world very few constants of nature are known to more than four digits (the speed of light is a notable exception).File Size: KB.