Download or read book An Iterative Solution to the Generalized Eigenvalue eigenvector Problem written by Ronald D. Brunell and published by . This book was released on 1966 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper presents an approach to the solution of what is usually called 'the generalized eigenvalue problem.' The basic format of the method is similar to that presented by I. Tarnove, but with revisions in the root-finding and scaling procedures. The capability of calculating the associated eigenvectors has also been added to the previously-published algorithm. This method uses an iterative root-finding technique and will converge with almost any first estimate. To preserve accuracy, the original matrix is used throughout for the evaluation of the function and scaling is done by powers of two. A FORTRAN-63 program for the CDC-1604, using this method, has been written for matrices having polynomial elements. The code was evaluated using a number of trial problems, including pathological matrices, and some of these results have been incorporated into this report. (Author).
Download or read book An Iterative Solution to Th Generalized Eigenvalue eigenvector Problem written by and published by . This book was released on 1966 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper presents an approach to the solution of what is usually called 'the generalized eigenvalue problem.' The basic format of the method is similar to that presented by I. Tarnove, but with revisions in the root-finding and scaling procedures. The capability of calculating the associated eigenvectors has also been added to the previously-published algorithm. This method uses an iterative root-finding technique and will converge with almost any first estimate. To preserve accuracy, the original matrix is used throughout for the evaluation of the function and scaling is done by powers of two. A FORTRAN-63 program for the CDC-1604, using this method, has been written for matrices having polynomial elements. The code was evaluated using a number of trial problems, including pathological matrices, and some of these results have been incorporated into this report. (Author).
Download or read book Numerical Methods for General and Structured Eigenvalue Problems written by Daniel Kressner and published by Springer Science & Business Media. This book was released on 2006-01-20 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Numerical Methods for Large Eigenvalue Problems written by Yousef Saad and published by SIAM. This book was released on 2011-01-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Iterative Solution of the Generalized Eigenvalue Problem written by C. Papaconstantinon and published by . This book was released on 1973 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Templates for the Solution of Algebraic Eigenvalue Problems written by Zhaojun Bai and published by SIAM. This book was released on 2000-01-01 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.
Download or read book An Iterative Solution to the Generalized Eigenvalue written by R. D. Brunnell and published by . This book was released on 1966 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Numerical Linear Algebra written by James W. Demmel and published by SIAM. This book was released on 1997-08-01 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive textbook is designed for first-year graduate students from a variety of engineering and scientific disciplines.
Download or read book Large Scale Eigenvalue Problems written by J. Cullum and published by Elsevier. This book was released on 1986-01-01 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Computation of Leading Eigenspaces for Generalized Eigenvalue Problems written by Abraham Kribus and published by . This book was released on 1989 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Parallel Subspace Iteration for Solving the Generalized Eigenvalue Problem written by Umesh Mahajan and published by . This book was released on 1987 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On Solving the Large Sparse Generalized Eigenvalue Problem written by John A. Wisniewski and published by . This book was released on 1981 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Using Parallel Banded Linear System Solvers in Generalized Eigenvalue Problems written by Hong Zhang and published by . This book was released on 1993 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "Subspace iteration is a reliable and cost effective method for solving positive definite banded symmetric generalized eigenproblems, especially in the case of large scale problems. This paper discusses an algorithm that makes use of two parallel banded solvers in subspace iteration. A shift is introduced to decompose the banded linear systems into relatively independent subsystems and to accelerate the iterations. With this shift, an eigenproblem is mapped efficiently into the memories of a multiprocessor and a high speed-up is obtained for parallel implementations. An optimal shift is a shift that balances total computation and communication costs. Under certain conditions, we show how to estimate an optimal shift analytically using the decay rate for the inverse of a banded matrix, and how to improve this estimate. Computational results on iPSC/2 and iPSC/860 multiprocessors are presented."
Download or read book Technical Report research Paper written by and published by . This book was released on 1966 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Eispack Guide written by Brian T. Smith and published by Springer. This book was released on 1976 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Iterative Solution Methods written by Owe Axelsson and published by Cambridge University Press. This book was released on 1996-03-29 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals primarily with the numerical solution of linear systems of equations by iterative methods. The first part of the book is intended to serve as a textbook for a numerical linear algebra course. The material assumes the reader has a basic knowledge of linear algebra, such as set theory and matrix algebra, however it is demanding for students who are not afraid of theory. To assist the reader, the more difficult passages have been marked, the definitions for each chapter are collected at the beginning of the chapter, and numerous exercises are included throughout the text. The second part of the book serves as a monograph introducing recent results in the iterative solution of linear systems, mainly using preconditioned conjugate gradient methods. This book should be a valuable resource for students and researchers alike wishing to learn more about iterative methods.
