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Numerical Methods for Large Eigenvalue Problems

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Release : 2011-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 739/5 ( reviews)

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Book Synopsis Numerical Methods for Large Eigenvalue Problems by : Yousef Saad

Download or read book Numerical Methods for Large Eigenvalue Problems written by Yousef Saad. This book was released on 2011-01-01. 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 Each chapter was updated by shortening or deleting outdated topics, adding topics of more recent interest, and adapting the Notes and References section.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.

Numerical Methods for General and Structured Eigenvalue Problems

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Release : 2006-01-20
Genre : Mathematics
Kind : eBook
Book Rating : 024/5 ( reviews)

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Book Synopsis Numerical Methods for General and Structured Eigenvalue Problems by : Daniel Kressner

Download or read book Numerical Methods for General and Structured Eigenvalue Problems written by Daniel Kressner. This book was released on 2006-01-20. 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.

Numerical Methods for Eigenvalue Problems

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Release : 2012-05-29
Genre : Mathematics
Kind : eBook
Book Rating : 373/5 ( reviews)

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Book Synopsis Numerical Methods for Eigenvalue Problems by : Steffen Börm

Download or read book Numerical Methods for Eigenvalue Problems written by Steffen Börm. This book was released on 2012-05-29. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Iterative Methods for Sparse Linear Systems

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Release : 2003-04-01
Genre : Mathematics
Kind : eBook
Book Rating : 342/5 ( reviews)

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Book Synopsis Iterative Methods for Sparse Linear Systems by : Yousef Saad

Download or read book Iterative Methods for Sparse Linear Systems written by Yousef Saad. This book was released on 2003-04-01. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- General.

Eigenvalue Problems in Power Systems

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Release : 2020-12-22
Genre : Technology & Engineering
Kind : eBook
Book Rating : 208/5 ( reviews)

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Book Synopsis Eigenvalue Problems in Power Systems by : Federico Milano

Download or read book Eigenvalue Problems in Power Systems written by Federico Milano. This book was released on 2020-12-22. Available in PDF, EPUB and Kindle. Book excerpt: 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

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