A Comparison of the LR and QR Transformations for Finding the Eigenvalues for Real Nonsymmetric Matrices - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Comparison of the LR and QR Transformations for Finding the Eigenvalues for Real Nonsymmetric Matrices write by Susan Clara Hanson. This book was released on 1966. A Comparison of the LR and QR Transformations for Finding the Eigenvalues for Real Nonsymmetric Matrices available in PDF, EPUB and Kindle. "The LR and QR algorithms, two of the best available iterative methods for finding the eigenvalues of a nonsymmetric matrix associated with a system of linear homogeneous equations, are studied. These algorithms are discussed as they apply to the determination of the eigenvalues of real nonsymmetric matrices. A comparison of the speed and accuracy of these transformations is made. A detailed discussion of the criterion for convergence and the numerical difficulties which may occur in the computation of multiple and complex conjugate eigenvalues are included. The results of this study indicate that the QR algorithm is the more successful method for finding the eigenvalues of a real nonsymmetric matrix"--Abstract, leaf ii.
Handbook for Automatic Computation
Handbook for Automatic Computation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Handbook for Automatic Computation write by John H. Wilkinson. This book was released on 2012-12-06. Handbook for Automatic Computation available in PDF, EPUB and Kindle. The development of the internationally standardized language ALGOL has made it possible to prepare procedures which can be used without modification whenever a computer with an ALGOL translator is available. Volume Ia in this series gave details of the restricted version of ALGOL which is to be employed throughout the Handbook, and volume Ib described its implementation on a computer. Each of the subsequent volumes will be devoted to a presentation of the basic algorithms in some specific areas of numerical analysis. This is the first such volume and it was feIt that the topic Linear Algebra was a natural choice, since the relevant algorithms are perhaps the most widely used in numerical analysis and have the advantage of forming a weil defined dass. The algorithms described here fall into two main categories, associated with the solution of linear systems and the algebraic eigenvalue problem respectively and each set is preceded by an introductory chapter giving a comparative assessment.
Existence, Uniqueness, and Convergence of the Basic LR and QR Transformations
Existence, Uniqueness, and Convergence of the Basic LR and QR Transformations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Existence, Uniqueness, and Convergence of the Basic LR and QR Transformations write by Wesley Yoneo Watanabe. This book was released on 1970. Existence, Uniqueness, and Convergence of the Basic LR and QR Transformations available in PDF, EPUB and Kindle.
Numerical Methods for General and Structured Eigenvalue Problems
Numerical Methods for General and Structured Eigenvalue Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical Methods for General and Structured Eigenvalue Problems write by Daniel Kressner. This book was released on 2006-01-20. Numerical Methods for General and Structured Eigenvalue Problems available 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.
The Matrix Eigenvalue Problem
The Matrix Eigenvalue Problem - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Matrix Eigenvalue Problem write by David S. Watkins. This book was released on 2007-01-01. The Matrix Eigenvalue Problem available in PDF, EPUB and Kindle. An in-depth, theoretical discussion of the two most important classes of algorithms for solving matrix eigenvalue problems.
