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An Optimum Semi Iterative Method For Solving Any Linear Set With A Square Matrix
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Book Synopsis An Optimum Semi-iterative Method for Solving Any Linear Set with a Square Matrix by : Dennis Chester Smolarski
Download or read book An Optimum Semi-iterative Method for Solving Any Linear Set with a Square Matrix written by Dennis Chester Smolarski and published by . This book was released on 1985 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Optimum Semi-iterative Methods for the Solution of Any Linear Algebraic System with a Square Matrix by : Dennis Chester Smolarski
Download or read book Optimum Semi-iterative Methods for the Solution of Any Linear Algebraic System with a Square Matrix written by Dennis Chester Smolarski and published by . This book was released on 1981 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 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 Synopsis Leapfrog Variants of Iterative Methods for Linear Algebraic Equations by : Paul E. Saylor
Download or read book Leapfrog Variants of Iterative Methods for Linear Algebraic Equations written by Paul E. Saylor and published by . This book was released on 1988 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Two iterative methods are considered, Richardson's method and a general second order method. For both methods, a variant of the method is derived for which only even numbered iterates are computed. The variant is called a leapfrog method. Comparisons between the conventional form of the methods and the leapfrog form are made under the assumption that the number of unknowns is large. In the case of Richardson's method, it is possible to express the final iterate in terms of only the initial approximation, a variant of the iteration called the grand-leap method. In this case of the grand-leap variant, a set of parameters is required. An algorithm is presented to compute these parameters that is related to algorithms to compute the weights and abscissas for Gaussian quadrature. General algorithms to implement the leapfrog and grand-leap methods are presented. Algorithms for the important special case of the Chebyshev method are also given" -- abstract.
Book Synopsis Spectra and Pseudospectra by : Lloyd N. Trefethen
Download or read book Spectra and Pseudospectra written by Lloyd N. Trefethen and published by Princeton University Press. This book was released on 2020-05-05 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pure and applied mathematicians, physicists, scientists, and engineers use matrices and operators and their eigenvalues in quantum mechanics, fluid mechanics, structural analysis, acoustics, ecology, numerical analysis, and many other areas. However, in some applications the usual analysis based on eigenvalues fails. For example, eigenvalues are often ineffective for analyzing dynamical systems such as fluid flow, Markov chains, ecological models, and matrix iterations. That's where this book comes in. This is the authoritative work on nonnormal matrices and operators, written by the authorities who made them famous. Each of the sixty sections is written as a self-contained essay. Each document is a lavishly illustrated introductory survey of its topic, complete with beautiful numerical experiments and all the right references. The breadth of included topics and the numerous applications that provide links between fields will make this an essential reference in mathematics and related sciences.
Book Synopsis Numerical Methods in Approximation Theory, Vol. 9 by : D. Braess
Download or read book Numerical Methods in Approximation Theory, Vol. 9 written by D. Braess and published by Birkhäuser. This book was released on 2013-03-11 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the official proceedings of a conference on Numerical Methods in Approximation Theory which was held at the Mathematisches Forschungs institut in Oberwolfach during the week of November 24~30, 1991. It contains refereed and edited papers by 20 of the 49 participants. The book is dedicated to the memory of Prof. Lothar Collatz who main tained a long and active interest in numerical approximation. It is the ninth in a series of volumes published by Birkhiiuser resulting from conferences on the subject held at Oberwolfach, and co-organized by Prof. Collatz. We now briefly describe the contents of the book. The paper of BASZEN SKI, DELVOS and JESTER deals with blending using sine double series expan sions of functions defined on the unit square. In addition to giving explicit error estimates for partial sums and for interpolating sine polynomials, they also show that Boolean sums yield almost the same asymptotic error estimates as the conventional tensor-product approach, but with a reduced number of terms. The paper of BEATSON and LIGHT discusses approximation by quasi interpolants which are sums of scaled translates of a one-parameter family of functions. They do not require reproduction of low degree polynomials, but nevertheless are able to give error bounds and analyze quasi-interpolation based on Gaussians and exponentials. BINEV and JETTER deal with multivariate interpolation using shifts of a single basis function. They treat both gridded data and scattered data. As examples, they consider box splines and certain radial basis functions.
Book Synopsis Iterative Solution of Large Linear Systems by : David M. Young
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 Synopsis SIAM Journal on Scientific and Statistical Computing by : Society for Industrial and Applied Mathematics
Download or read book SIAM Journal on Scientific and Statistical Computing written by Society for Industrial and Applied Mathematics and published by . This book was released on 1989 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis SIAM Journal on Matrix Analysis and Applications by :
Download or read book SIAM Journal on Matrix Analysis and Applications written by and published by . This book was released on 1992 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Report written by Marian B. Konsek and published by . This book was released on 1965 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Iterative Methods for Large Linear Systems by : David Ronald Kincaid
Download or read book Iterative Methods for Large Linear Systems written by David Ronald Kincaid and published by . This book was released on 1990 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Very Good,No Highlights or Markup,all pages are intact.
Download or read book Report written by Larry Rendell and published by . This book was released on 1965 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Applied Iterative Methods by : Louis A. Hageman
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 Synopsis An Adaptive Algorithm for Richardson's Method by : Paul E. Saylor
Download or read book An Adaptive Algorithm for Richardson's Method written by Paul E. Saylor and published by . This book was released on 1988 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex linear algebraic equations arise in many scientific and engineering studies. Several well-known algorithms are applicable to complex matrices, such as SOR, the bi-conjugate gradient method, and Manteuffel's adaptive Chebyshev algorithm. For large problems, Richardson's method is attractive but requires a set of parameters. An early paper of David Young's presents optimum parameters as transformed roots of the Chebyshev polynomial in the symmetric positive definite case. An adaptive algorithm for optimum parameters will be described in the nonsymmetric case. The parameters are optimum in a least squares sense that includes Chebyshev parameters.
Book Synopsis Polynominal Preconditioning for Conjugate Gradient Methods by : Steven F. Ashby
Download or read book Polynominal Preconditioning for Conjugate Gradient Methods written by Steven F. Ashby and published by . This book was released on 1988 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis KWIC Index for Numerical Algebra by : Alston Scott Householder
Download or read book KWIC Index for Numerical Algebra written by Alston Scott Householder and published by . This book was released on 1972 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis SIAM Journal on Algebraic and Discrete Methods by : Society for Industrial and Applied Mathematics
Download or read book SIAM Journal on Algebraic and Discrete Methods written by Society for Industrial and Applied Mathematics and published by . This book was released on 1987 with total page 876 pages. Available in PDF, EPUB and Kindle. Book excerpt:
