The Symmetric Eigenvalue Problem
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Author | : Beresford N. Parlett |
Publisher | : SIAM |
Total Pages | : 422 |
Release | : 1998-01-01 |
Genre | : Mathematics |
ISBN | : 9781611971163 |
Download The Symmetric Eigenvalue Problem Book in PDF, Epub and Kindle
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.
Author | : Daniel Kressner |
Publisher | : Springer Science & Business Media |
Total Pages | : 272 |
Release | : 2006-01-20 |
Genre | : Mathematics |
ISBN | : 3540285024 |
Download Numerical Methods for General and Structured Eigenvalue Problems Book in PDF, Epub and Kindle
This book is about computing eigenvalues, eigenvectors, and invariant subspaces of matrices. Treatment includes generalized and structured eigenvalue problems and all vital aspects of eigenvalue computations. A unique feature is the detailed treatment of structured eigenvalue problems, providing insight on accuracy and efficiency gains to be expected from algorithms that take the structure of a matrix into account.
Author | : David S. Watkins |
Publisher | : SIAM |
Total Pages | : 443 |
Release | : 2007-01-01 |
Genre | : Mathematics |
ISBN | : 0898716411 |
Download The Matrix Eigenvalue Problem Book in PDF, Epub and Kindle
An in-depth, theoretical discussion of the two most important classes of algorithms for solving matrix eigenvalue problems.
Author | : Yousef Saad |
Publisher | : SIAM |
Total Pages | : 292 |
Release | : 2011-01-01 |
Genre | : Mathematics |
ISBN | : 9781611970739 |
Download Numerical Methods for Large Eigenvalue Problems Book in PDF, Epub and Kindle
This revised edition discusses numerical methods for computing 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.
Author | : Zhaojun Bai |
Publisher | : SIAM |
Total Pages | : 430 |
Release | : 2000-01-01 |
Genre | : Computers |
ISBN | : 0898714710 |
Download Templates for the Solution of Algebraic Eigenvalue Problems Book in PDF, Epub and Kindle
Mathematics of Computing -- Numerical Analysis.
Author | : Moody Chu |
Publisher | : Oxford University Press |
Total Pages | : 408 |
Release | : 2005-06-16 |
Genre | : Mathematics |
ISBN | : 0198566646 |
Download Inverse Eigenvalue Problems Book in PDF, Epub and Kindle
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.
Author | : G. W. Stewart |
Publisher | : SIAM |
Total Pages | : 489 |
Release | : 2001-08-30 |
Genre | : Mathematics |
ISBN | : 0898718058 |
Download Matrix Algorithms Book in PDF, Epub and Kindle
This is the second volume in a projected five-volume survey of numerical linear algebra and matrix algorithms. It treats the numerical solution of dense and large-scale eigenvalue problems with an emphasis on algorithms and the theoretical background required to understand them. The notes and reference sections contain pointers to other methods along with historical comments. The book is divided into two parts: dense eigenproblems and large eigenproblems. The first part gives a full treatment of the widely used QR algorithm, which is then applied to the solution of generalized eigenproblems and the computation of the singular value decomposition. The second part treats Krylov sequence methods such as the Lanczos and Arnoldi algorithms and presents a new treatment of the Jacobi-Davidson method. These volumes are not intended to be encyclopedic, but provide the reader with the theoretical and practical background to read the research literature and implement or modify new algorithms.
Author | : J. Cullum |
Publisher | : Elsevier |
Total Pages | : 329 |
Release | : 1986-01-01 |
Genre | : Mathematics |
ISBN | : 9780080872384 |
Download Large Scale Eigenvalue Problems Book in PDF, Epub and Kindle
Results of research into large scale eigenvalue problems are presented in this volume. The papers fall into four principal categories: novel algorithms for solving large eigenvalue problems, novel computer architectures, computationally-relevant theoretical analyses, and problems where large scale eigenelement computations have provided new insight.
Author | : Greg W. Anderson |
Publisher | : Cambridge University Press |
Total Pages | : 507 |
Release | : 2010 |
Genre | : Mathematics |
ISBN | : 0521194520 |
Download An Introduction to Random Matrices Book in PDF, Epub and Kindle
A rigorous introduction to the basic theory of random matrices designed for graduate students with a background in probability theory.
Author | : James W. Demmel |
Publisher | : SIAM |
Total Pages | : 426 |
Release | : 1997-08-01 |
Genre | : Mathematics |
ISBN | : 0898713897 |
Download Applied Numerical Linear Algebra Book in PDF, Epub and Kindle
This comprehensive textbook is designed for first-year graduate students from a variety of engineering and scientific disciplines.