Numerical Methods For Large Eigenvalue Problems PDF Download
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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 Each chapter was updated by shortening or deleting outdated topics, adding topics of more recent interest, and adapting the Notes and References section.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 | : 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 | : Steffen Börm |
Publisher | : Walter de Gruyter |
Total Pages | : 216 |
Release | : 2012-05-29 |
Genre | : Mathematics |
ISBN | : 3110250373 |
Download Numerical Methods for Eigenvalue Problems Book in PDF, ePub and Kindle
Eigenvalues and eigenvectors of matrices and linear operators play an important role when solving problems from structural mechanics and electrodynamics, e.g., by describing the resonance frequencies of systems, when investigating the long-term behavior of stochastic processes, e.g., by describing invariant probability measures, and as a tool for solving more general mathematical problems, e.g., by diagonalizing ordinary differential equations or systems from control theory. 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 to analyze their behavior with the goal to present an easily accessible introduction to the field, including rigorous proofs of all important results, but not a complete overview of the vast body of research. Several programming examples allow the reader to experience the behavior of the different algorithms first-hand. The book addresses students and lecturers of mathematics, physics and engineering who are interested in the fundamental ideas of modern numerical methods and want to learn how to apply and extend these ideas to solve new problems.
Author | : Yousef Saad |
Publisher | : SIAM |
Total Pages | : 537 |
Release | : 2003-04-01 |
Genre | : Mathematics |
ISBN | : 0898715342 |
Download Iterative Methods for Sparse Linear Systems Book in PDF, ePub and Kindle
Mathematics of Computing -- General.
Author | : Federico Milano |
Publisher | : CRC Press |
Total Pages | : 407 |
Release | : 2020-12-22 |
Genre | : Technology & Engineering |
ISBN | : 1000335208 |
Download Eigenvalue Problems in Power Systems Book in PDF, ePub and Kindle
The book provides a comprehensive taxonomy of non-symmetrical eigenvalues problems as applied to power systems. The book bases all formulations on mathematical concept of “matrix pencils” (MPs) and considers both regular and singular MPs for the eigenvalue problems. Each eigenvalue problem is illustrated with a variety of examples based on electrical circuits and/or power system models and controllers and related data are provided in the appendices of the book. Numerical methods for the solution of all considered eigenvalue problems are discussed. The focus is on large scale problems and, hence, attention is dedicated to the performance and scalability of the methods. The target of the book are researchers and graduated students in Electrical & Computer Science Engineering, both taught and research Master programmes as well as PhD programmes and it: explains eigenvalue problems applied into electrical power systems explains numerical examples on applying the mathematical methods, into studying small signal stability problems of realistic and large electrical power systems includes detailed and in-depth analysis including non-linear and other advanced aspects provides theoretical understanding and advanced numerical techniques essential for secure operation of power systems provides a comprehensive set of illustrative examples that support theoretical discussions
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 | : Åke Björck |
Publisher | : Springer |
Total Pages | : 812 |
Release | : 2014-10-07 |
Genre | : Mathematics |
ISBN | : 3319050893 |
Download Numerical Methods in Matrix Computations Book in PDF, ePub and Kindle
Matrix algorithms are at the core of scientific computing and are indispensable tools in most applications in engineering. This book offers a comprehensive and up-to-date treatment of modern methods in matrix computation. It uses a unified approach to direct and iterative methods for linear systems, least squares and eigenvalue problems. A thorough analysis of the stability, accuracy, and complexity of the treated methods is given. Numerical Methods in Matrix Computations is suitable for use in courses on scientific computing and applied technical areas at advanced undergraduate and graduate level. A large bibliography is provided, which includes both historical and review papers as well as recent research papers. This makes the book useful also as a reference and guide to further study and research work.
Author | : J. Cullum |
Publisher | : Elsevier |
Total Pages | : 339 |
Release | : 1986-01-01 |
Genre | : Mathematics |
ISBN | : 0080872387 |
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 | : 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 | : Justin Solomon |
Publisher | : CRC Press |
Total Pages | : 400 |
Release | : 2015-06-24 |
Genre | : Computers |
ISBN | : 1482251892 |
Download Numerical Algorithms Book in PDF, ePub and Kindle
Numerical Algorithms: Methods for Computer Vision, Machine Learning, and Graphics presents a new approach to numerical analysis for modern computer scientists. Using examples from a broad base of computational tasks, including data processing, computational photography, and animation, the textbook introduces numerical modeling and algorithmic desig