Large Scale Eigenvalue Problems

Author : J. Cullum,R.A. Willoughby
Publisher : Elsevier
Page : 329 pages
File Size : 50,6 Mb
Release : 1986-01-01
Category : Mathematics
ISBN : 0080872387

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Large Scale Eigenvalue Problems by J. Cullum,R.A. Willoughby Pdf

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 : Yousef Saad
Publisher : SIAM
Page : 292 pages
File Size : 51,8 Mb
Release : 2011-01-01
Category : Mathematics
ISBN : 1611970733

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Numerical Methods for Large Eigenvalue Problems by Yousef Saad Pdf

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 Each chapter was updated by shortening or deleting outdated topics, adding topics of more recent interest, and adapting the Notes and References section.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 : Richard B. Lehoucq,Danny C. Sorensen,Chao Yang
Publisher : SIAM
Page : 150 pages
File Size : 55,5 Mb
Release : 1998-01-01
Category : Mathematics
ISBN : 9780898714074

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ARPACK Users' Guide by Richard B. Lehoucq,Danny C. Sorensen,Chao Yang Pdf

This book is a guide to understanding and using the software package ARPACK to solve large algebraic eigenvalue problems. The software described is based on the implicitly restarted Arnoldi method, which has been heralded as one of the three most important advances in large scale eigenanalysis in the past ten years. The book explains the acquisition, installation, capabilities, and detailed use of the software for computing a desired subset of the eigenvalues and eigenvectors of large (sparse) standard or generalized eigenproblems. It also discusses the underlying theory and algorithmic background at a level that is accessible to the general practitioner.

Author : Zhaojun Bai,James Demmel,Jack Dongarra,Axel Ruhe,Henk van der Vorst
Publisher : SIAM
Page : 430 pages
File Size : 40,7 Mb
Release : 2000-01-01
Category : Computers
ISBN : 9780898714715

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Templates for the Solution of Algebraic Eigenvalue Problems by Zhaojun Bai,James Demmel,Jack Dongarra,Axel Ruhe,Henk van der Vorst Pdf

Mathematics of Computing -- Numerical Analysis.

Author : Daniel Kressner
Publisher : Springer Science & Business Media
Page : 272 pages
File Size : 47,5 Mb
Release : 2006-01-20
Category : Mathematics
ISBN : 9783540285021

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Numerical Methods for General and Structured Eigenvalue Problems by Daniel Kressner Pdf

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 : Federico Milano,Ioannis Dassios,Muyang Liu,Georgios Tzounas
Publisher : CRC Press
Page : 407 pages
File Size : 51,6 Mb
Release : 2020-12-22
Category : Technology & Engineering
ISBN : 9781000335200

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Eigenvalue Problems in Power Systems by Federico Milano,Ioannis Dassios,Muyang Liu,Georgios Tzounas Pdf

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 : Ivan Lirkov
Publisher : Springer Science & Business Media
Page : 701 pages
File Size : 47,7 Mb
Release : 2006-02-14
Category : Computers
ISBN : 9783540319948

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Large-Scale Scientific Computing by Ivan Lirkov Pdf

This book constitutes the thoroughly refereed post-proceedings of the 5th International Conference on Large-Scale Scientific Computations, LSSC 2005, held in Sozopol, Bulgaria in June 2005. The 75 revised full papers presented together with five invited papers were carefully reviewed and selected for inclusion in the book. The papers are organized in topical sections.

Author : David E. Keyes,Ahmed Sameh,V. Venkatakrishnan
Publisher : Springer Science & Business Media
Page : 403 pages
File Size : 51,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401154123

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Parallel Numerical Algorithms by David E. Keyes,Ahmed Sameh,V. Venkatakrishnan Pdf

In this volume, designed for computational scientists and engineers working on applications requiring the memories and processing rates of large-scale parallelism, leading algorithmicists survey their own field-defining contributions, together with enough historical and bibliographical perspective to permit working one's way to the frontiers. This book is distinguished from earlier surveys in parallel numerical algorithms by its extension of coverage beyond core linear algebraic methods into tools more directly associated with partial differential and integral equations - though still with an appealing generality - and by its focus on practical medium-granularity parallelism, approachable through traditional programming languages. Several of the authors used their invitation to participate as a chance to stand back and create a unified overview, which nonspecialists will appreciate.

Author : Yousef Saad
Publisher : SIAM
Page : 285 pages
File Size : 40,9 Mb
Release : 2011-05-26
Category : Mathematics
ISBN : 9781611970722

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Numerical Methods for Large Eigenvalue Problems by Yousef Saad Pdf

This revised edition discusses numerical methods for computing the 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 : Y. Saad
Publisher : Manchester University Press
Page : 368 pages
File Size : 46,9 Mb
Release : 1992
Category : Eigenvalues
ISBN : 0719033861

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Numerical Methods for Large Eigenvalue Problems by Y. Saad Pdf

Author : Zhaojun Bai,James Demmel,Jack Dongarra,Axel Ruhe,Henk van der Vorst
Publisher : SIAM
Page : 439 pages
File Size : 54,9 Mb
Release : 2000-01-01
Category : Computers
ISBN : 0898719585

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Templates for the Solution of Algebraic Eigenvalue Problems by Zhaojun Bai,James Demmel,Jack Dongarra,Axel Ruhe,Henk van der Vorst Pdf

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.

Author : G. W. Stewart
Publisher : SIAM
Page : 489 pages
File Size : 49,7 Mb
Release : 2001-08-30
Category : Mathematics
ISBN : 9780898718058

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Matrix Algorithms by G. W. Stewart Pdf

This is the second volume in a projected five-volume survey of numerical linear algebra and matrix algorithms. It treats the numerical solution of dense and large-scale eigenvalue problems with an emphasis on algorithms and the theoretical background required to understand them. The notes and reference sections contain pointers to other methods along with historical comments. The book is divided into two parts: dense eigenproblems and large eigenproblems. The first part gives a full treatment of the widely used QR algorithm, which is then applied to the solution of generalized eigenproblems and the computation of the singular value decomposition. The second part treats Krylov sequence methods such as the Lanczos and Arnoldi algorithms and presents a new treatment of the Jacobi-Davidson method. These volumes are not intended to be encyclopedic, but provide the reader with the theoretical and practical background to read the research literature and implement or modify new algorithms.

Author : Anonim
Publisher : Unknown
Page : 42 pages
File Size : 46,8 Mb
Release : 1996
Category : Electronic
ISBN : NASA:31769000701816

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Implicity Restarted Arnoldi/Lanczos Methods for Large Scale Eigenvalue Calculations by Anonim Pdf

Author : Lorenz T. Biegler,Thomas F. Coleman,Andrew R. Conn,Fadil N. Santosa
Publisher : Springer Science & Business Media
Page : 219 pages
File Size : 55,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461219620

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Large-Scale Optimization with Applications by Lorenz T. Biegler,Thomas F. Coleman,Andrew R. Conn,Fadil N. Santosa Pdf

With contributions by specialists in optimization and practitioners in the fields of aerospace engineering, chemical engineering, and fluid and solid mechanics, the major themes include an assessment of the state of the art in optimization algorithms as well as challenging applications in design and control, in the areas of process engineering and systems with partial differential equation models.

Author : James W. Demmel
Publisher : SIAM
Page : 426 pages
File Size : 44,5 Mb
Release : 1997-08-01
Category : Mathematics
ISBN : 9780898713893

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Applied Numerical Linear Algebra by James W. Demmel Pdf

This comprehensive textbook is designed for first-year graduate students from a variety of engineering and scientific disciplines.