The Symmetric Eigenvalue Problem

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The Symmetric Eigenvalue Problem

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Author : Beresford N. Parlett
language : en
Publisher: SIAM
Release Date : 1980-01-01

The Symmetric Eigenvalue Problem written by Beresford N. Parlett and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-01-01 with Mathematics categories.

Mathematics of Computing -- Numerical Analysis.

The Symmetric Eigenvalue Problem

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Author : Beresford N. Parlett
language : en
Publisher: SIAM
Release Date : 1998-01-01

The Symmetric Eigenvalue Problem written by Beresford N. Parlett and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-01 with Mathematics categories.

According to Parlett, "Vibrations are everywhere, and so too are the eigenvalues associated with them. As mathematical models invade more and more disciplines, we can anticipate a demand for eigenvalue calculations in an ever richer variety of contexts." Anyone who performs these calculations will welcome the reprinting of Parlett's book (originally published in 1980). In this unabridged, amended version, Parlett covers aspects of the problem that are not easily found elsewhere. The chapter titles convey the scope of the material succinctly. The aim of the book is to present mathematical knowledge that is needed in order to understand the art of computing eigenvalues of real symmetric matrices, either all of them or only a few. The author explains why the selected information really matters and he is not shy about making judgments. The commentary is lively but the proofs are terse. The first nine chapters are based on a matrix on which it is possible to make similarity transformations explicitly. The only source of error is inexact arithmetic. The last five chapters turn to large sparse matrices and the task of making approximations and judging them.

Numerical Methods For Large Eigenvalue Problems

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Author : Yousef Saad
language : en
Publisher: SIAM
Release Date : 2011-05-26

Numerical Methods For Large Eigenvalue Problems written by Yousef Saad and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-26 with Mathematics categories.

This revised edition discusses numerical methods for computing the eigenvalues and eigenvectors of large sparse matrices. It provides an in-depth view of the numerical methods that are applicable for solving matrix eigenvalue problems that arise in various engineering and scientific applications. Each chapter was updated by shortening or deleting outdated topics, adding topics of more recent interest and adapting the Notes and References section. Significant changes have been made to Chapters 6 through 8, which describe algorithms and their implementations and now include topics such as the implicit restart techniques, the Jacobi-Davidson method and automatic multilevel substructuring.

Templates For The Solution Of Algebraic Eigenvalue Problems

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Author : Zhaojun Bai
language : en
Publisher: SIAM
Release Date : 2000-01-01

Templates For The Solution Of Algebraic Eigenvalue Problems written by Zhaojun Bai and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-01 with Computers categories.

Large-scale problems of engineering and scientific computing often require solutions of eigenvalue and related problems. This book gives a unified overview of theory, algorithms, and practical software for eigenvalue problems. It organizes this large body of material to make it accessible for the first time to the many nonexpert users who need to choose the best state-of-the-art algorithms and software for their problems. Using an informal decision tree, just enough theory is introduced to identify the relevant mathematical structure that determines the best algorithm for each problem.

The Matrix Eigenvalue Problem

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Author : David S. Watkins
language : en
Publisher: SIAM
Release Date : 2007-01-01

The Matrix Eigenvalue Problem written by David S. Watkins and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-01 with Mathematics categories.

An in-depth, theoretical discussion of the two most important classes of algorithms for solving matrix eigenvalue problems.

Inverse Eigenvalue Problems

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Author : Moody Chu
language : en
Publisher: Oxford University Press
Release Date : 2005-06-16

Inverse Eigenvalue Problems written by Moody Chu and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06-16 with Mathematics categories.

Inverse eigenvalue problems arise in a remarkable variety of applications and associated with any inverse eigenvalue problem are two fundamental questions--the theoretical issue of solvability and the practical issue of computability. Both questions are difficult and challenging. In this text, the authors discuss the fundamental questions, some known results, many applications, mathematical properties, a variety of numerical techniques, as well as several open problems.This is the first book in the authoritative Numerical Mathematics and Scientific Computation series to cover numerical linear algebra, a broad area of numerical analysis. Authored by two world-renowned researchers, the book is aimed at graduates and researchers in applied mathematics, engineering and computer science and makes an ideal graduate text.

An Introduction To Random Matrices

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Author : Greg W. Anderson
language : en
Publisher: Cambridge University Press
Release Date : 2010

An Introduction To Random Matrices written by Greg W. Anderson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.

A rigorous introduction to the basic theory of random matrices designed for graduate students with a background in probability theory.

Accelerated Solution Of The Symmetric Eigenvalue Problem

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Author : Victor Pan
language : en
Publisher:
Release Date : 1992

Accelerated Solution Of The Symmetric Eigenvalue Problem written by Victor Pan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Eigenvalues categories.

Templates For The Solution Of Algebraic Eigenvalue Problems

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Author : Zhaojun Bai
language : en
Publisher: SIAM
Release Date : 2000-01-01

Templates For The Solution Of Algebraic Eigenvalue Problems written by Zhaojun Bai and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-01 with Computers categories.

Mathematics of Computing -- Numerical Analysis.

Core Chasing Algorithms For The Eigenvalue Problem

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Author : Jared L. Aurentz
language : en
Publisher: SIAM
Release Date : 2018-07-06

Core Chasing Algorithms For The Eigenvalue Problem written by Jared L. Aurentz and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-06 with Science categories.

Eigenvalue computations are ubiquitous in science and engineering. John Francis?s implicitly shifted QR algorithm has been the method of choice for small to medium sized eigenvalue problems since its invention in 1959. This book presents a new view of this classical algorithm. While Francis?s original procedure chases bulges, the new version chases core transformations, which allows the development of fast algorithms for eigenvalue problems with a variety of special structures. This also leads to a fast and backward stable algorithm for computing the roots of a polynomial by solving the companion matrix eigenvalue problem. The authors received a SIAM Outstanding Paper prize for this work. This book will be of interest to researchers in numerical linear algebra and their students.