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Book Norms of the successive overrelaxation method and related methods

Download or read book Norms of the successive overrelaxation method and related methods written by David M. Young and published by . This book was released on 1969 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: Norms of several iterative methods for solving the linear system Au = b are developed. These methods include the successive overrelaxation method, the cyclic Chebyshev semi-iterative method, and other related methods. Theoretical and numerical comparisons are given for the iterative methods and norms considered. The results indicate that by using a different norm than was previously considered, the successive overrelaxation method compares more favorably with the cyclic Chebyshev semi-iterative and with the other iterative methods considered. (Author).

Book Norms of the Successive Overrelaxation Method

Download or read book Norms of the Successive Overrelaxation Method written by David Ronald Kincaid and published by . This book was released on 1971 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Norms of the successive overrelaxation metod and related methods

Download or read book Norms of the successive overrelaxation metod and related methods written by D. M. Young and published by . This book was released on 1969 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Applied Iterative Methods

Download or read book Applied Iterative Methods written by Louis A. Hageman and published by Elsevier. This book was released on 2014-06-28 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Iterative Methods

Book Iterative Solution of Large Linear Systems

Download or read book Iterative Solution of Large Linear Systems written by David M. Young and published by Elsevier. This book was released on 2014-05-10 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: Iterative Solution of Large Linear Systems describes the systematic development of a substantial portion of the theory of iterative methods for solving large linear systems, with emphasis on practical techniques. The focal point of the book is an analysis of the convergence properties of the successive overrelaxation (SOR) method as applied to a linear system where the matrix is "consistently ordered". Comprised of 18 chapters, this volume begins by showing how the solution of a certain partial differential equation by finite difference methods leads to a large linear system with a sparse matrix. The next chapter reviews matrix theory and the properties of matrices, as well as several theorems of matrix theory without proof. A number of iterative methods, including the SOR method, are then considered. Convergence theorems are also given for various iterative methods under certain assumptions on the matrix A of the system. Subsequent chapters deal with the eigenvalues of the SOR method for consistently ordered matrices; the optimum relaxation factor; nonstationary linear iterative methods; and semi-iterative methods. This book will be of interest to students and practitioners in the fields of computer science and applied mathematics.

Book Topics in Polynomials of One and Several Variables and Their Applications

Download or read book Topics in Polynomials of One and Several Variables and Their Applications written by Themistocles M. Rassias and published by World Scientific. This book was released on 1993 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents an account of some of the most important work that has been done on various research problems in the theory of polynomials of one and several variables and their applications. It is dedicated to P L Chebyshev, a leading Russian mathematician.

Book Iterative Solution of Large Linear Systems

Download or read book Iterative Solution of Large Linear Systems written by David M. Young and published by Courier Corporation. This book was released on 2013-07-24 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes a review of matrix theory and 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; more. 1971 edition.

Book Scientific and Technical Aerospace Reports

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1983 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Book Iterative Methods for Sparse Linear Systems

Download or read book Iterative Methods for Sparse Linear Systems written by Yousef Saad and published by SIAM. This book was released on 2003-04-01 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- General.

Book A Survey of Numerical Mathematics

Download or read book A Survey of Numerical Mathematics written by David M. Young and published by Courier Corporation. This book was released on 1988-01-01 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume I of two-volume set offers broad self-contained coverage of computer-oriented numerical algorithms for solving mathematical problems related to linear algebra, ordinary and partial differential equations, and much more. 1972 edition.

Book Matrix Iterative Analysis

    Book Details:
  • Author : Richard S Varga
  • Publisher : Springer Science & Business Media
  • Release : 2009-12-05
  • ISBN : 3642051561
  • Pages : 363 pages

Download or read book Matrix Iterative Analysis written by Richard S Varga and published by Springer Science & Business Media. This book was released on 2009-12-05 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a revised version of the first edition, regarded as a classic in its field. In some places, newer research results have been incorporated in the revision, and in other places, new material has been added to the chapters in the form of additional up-to-date references and some recent theorems to give readers some new directions to pursue.

Book SIAM Journal on Numerical Analysis

Download or read book SIAM Journal on Numerical Analysis written by and published by . This book was released on 1974 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains research articles on the development and analysis of numerical methods, including their convergence, stability, and error analysis as well as related results in functional analysis and approximation theory. Computational experiments and new types of numerical applications are also included.

Book U S  Government Research   Development Reports

Download or read book U S Government Research Development Reports written by and published by . This book was released on 1970 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Mathematics of Computation

Download or read book Mathematics of Computation written by and published by . This book was released on 1960* with total page 1076 pages. Available in PDF, EPUB and Kindle. Book excerpt: Original articles on all aspects of numerical mathematics, book reviews, mathematical tables, and technical notes. Covers advances in numerical analysis, application of computer methods, high speed calculating, and other aids to computation.

Book Finite Difference Methods for Ordinary and Partial Differential Equations

Download or read book Finite Difference Methods for Ordinary and Partial Differential Equations written by Randall J. LeVeque and published by SIAM. This book was released on 2007-01-01 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples.

Book Research in Progress

Download or read book Research in Progress written by and published by . This book was released on 1971 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt: