Download or read book Numerical Solution of the Generalized Eigenvalue Problem and the Eigentuple eigenvector Problem written by Peter Benjamin Geltner and published by . This book was released on 1979 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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 A Numerical Solution to the Generalized Eigenvalue Problem written by Robert Cleveland Ward and published by . This book was released on 1974 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book THE NUMERICAL SOLUTION OF THE GENERALIZED EIGENVALUE PROBLEM written by Charles Raymond Crawford and published by . This book was released on 1970 with total page 51 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On the Numerical Solution of the Definite Generalized Eigenvalue Problem written by Yiu-Sang Moon and published by Department of Computer Science, University of Toronto. This book was released on 1979 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Numerical Solution of the Generalized Eigenvalue Problem for Rectangular Matrices written by Charles Henry Burris and published by . This book was released on 1976 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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 51 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 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 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Numerical Methods for Large Eigenvalue Problems written by Y. Saad and published by Manchester University Press. This book was released on 1992 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Inverse Eigenvalue Problems written by Moody Chu and published by Oxford University Press. This book was released on 2005-06-16 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Functional Analysis Methods in Numerical Analysis written by M. Z. Nashed and published by Springer. This book was released on 2006-11-15 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book High Precision Methods in Eigenvalue Problems and Their Applications written by Leonid D. Akulenko and published by CRC Press. This book was released on 2004-10-15 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a survey of analytical, asymptotic, numerical, and combined methods of solving eigenvalue problems. It considers the new method of accelerated convergence for solving problems of the Sturm-Liouville type as well as boundary-value problems with boundary conditions of the first, second, and third kind. The authors also present high

Download or read book Numerical Solution of Eigenvalue Problems written by Open University. Linear Mathematics Course Team and published by . This book was released on 1972 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Computational Techniques And Applications Ctac 95 Proceedings Of The Seventh Biennial Conference written by Robert L May and published by World Scientific. This book was released on 1996-08-30 with total page 902 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings contains seven invited papers and 100 contributed papers. The topics covered range from studies of theoretical aspects of computational methods through to simulations of large-scale industrial processes, with an emphasis on the efficient use of computers to solve practical problems. Developers and users of computational techniques who wish to keep up with recent developments in the application of modern computational technology to problems in science and engineering will find much of interest in this volume.

Download or read book Numerical Methods for Singular Multiparameter Eigenvalue Problems written by Andrej Muhič and published by . This book was released on 2011 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 1960s Atkinson introduced an abstract algebraic setting for multiparameter eigenvalue problems. He showed that a nonsingular multiparameter eigenvalue problem is equivalent to the associated system of generalized eigenvalue problems. Many theoretical results and numerical methods for nonsingular multiparameter eigenvalue problems are based on this relation. We extend the above relation to singular two-parameter eigenvalue problems and show that the simple finite regular eigenvalues of a two-parameter eigenvalue problem and the common regular eigenvalues of the coupled generalized eigenvalue problem agree. Using the theory on the pencils of matrix polynomials we furthermore generalize the theory to the nonregular singular two-parameter eigenvalue problems. This enables one to solve a singular two-parameter eigenvalue problem by computing the common regular eigenvalues of the associated system of two singular generalized eigenvalue problems. There are various numerical methods for twoparameter eigenvalue problems, but all of them can only be applied to nonsingular problems. We develop a numerical method that can be applied to the singular two-parameter eigenvalue problems. It is based on the staircase algorithm for the extraction of the common regular part of two singular matrix pencils. We introduce the quadratic two-parameter eigenvalue problem (QMEP) and show that we can linearize it as a regular singular two-parameter eigenvalue problem. We present several transformations that can be used to solve the QMEP, by formulating an associated linear multiparameter eigenvalue problem. We also generalize the linearization to the polynomial twoparameter eigenvalue problem(PMEP). As an alternative approach to the linearization, we propose the transformation of the QMEP into a nonsingular five-parameter eigenvalue problem. We also consider several special cases of the QMEP, where some matrix coefficients are zero, which allows us to solve such QMEP more efficiently. We propose a Jacobi-Davidson type method for regular singular problems. We modify the Jacobi-Davidson type method for nonsingular two-parameter eigenvalue problem so that it can be applied to regular singular problems. The obtained algorithm can then be used to solve the problem obtained by linearizing the PMEP. If the dimension of matrices is large, then we cannot use the approach with linearization. If order of polynomials is small enough, then we can apply a Jacobi-Davidson type method directly to the polynomial system. This method is a generalization of the method for polynomial eigenvalue problems. We give some numerical results that illustrate the convergence of the introduced Jacobi-Davidson type methods.

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 Eigenvalue Problems written by Steffen Börm and published by De Gruyter Textbook. This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents a number of the most important numerical methods for finding eigenvalues and eigenvectors of matrices. The authors discuss the central ideas underlying the different algorithms and introduce the theoretical concepts required t