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Pole Swapping Algorithms For The Eigenvalue Problem


Pole Swapping Algorithms For The Eigenvalue Problem
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Pole Swapping Algorithms For The Eigenvalue Problem


Pole Swapping Algorithms For The Eigenvalue Problem
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Author : Daan Camps
language : en
Publisher: SIAM
Release Date : 2025-05-01

Pole Swapping Algorithms For The Eigenvalue Problem written by Daan Camps and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-01 with Mathematics categories.


Matrix eigenvalue problems arise in a wide variety of fields in science and engineering, so it is important to have reliable and efficient methods for solving them. Of the methods devised, bulge-chasing algorithms, such as the famous QR and QZ algorithms, are the most important. This book focuses on pole-swapping algorithms, a new class of methods that are generalizations of bulge-chasing algorithms and a bit faster and more accurate owing to their inherent flexibility. The pole-swapping theory developed by the authors sheds light on the functioning of the whole class of algorithms, including QR and QZ. Pole-Swapping Algorithms for the Eigenvalue Problem is the only book on the topic. It describes the state of the art on eigenvalue methods and provides an improved understanding and explanation of why these important algorithms work. This book is for researchers and students in the field of matrix computations, software developers, and anyone in academia or industry who needs to understand how to solve eigenvalue problems, which are ubiquitous in science and engineering.



Pole Swapping Algorithms For The Eigenvalue Problem


Pole Swapping Algorithms For The Eigenvalue Problem
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Author : Daan Camps
language : en
Publisher:
Release Date : 2025-06-30

Pole Swapping Algorithms For The Eigenvalue Problem written by Daan Camps and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-30 with categories.




Numerical Methods For Large Eigenvalue Problems


Numerical Methods For Large Eigenvalue Problems
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Author : Yousef Saad
language : en
Publisher: SIAM
Release Date : 2011-05-26

Numerical Methods For Large Eigenvalue Problems written by Yousef Saad and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-26 with Mathematics categories.


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.



Templates For The Solution Of Algebraic Eigenvalue Problems


Templates For The Solution Of Algebraic Eigenvalue Problems
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Author : Zhaojun Bai
language : en
Publisher: SIAM
Release Date : 2000-01-01

Templates For The Solution Of Algebraic Eigenvalue Problems written by Zhaojun Bai and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-01 with Computers categories.


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.



Numerical Methods For General And Structured Eigenvalue Problems


Numerical Methods For General And Structured Eigenvalue Problems
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Author : Daniel Kressner
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-20

Numerical Methods For General And Structured Eigenvalue Problems written by Daniel Kressner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-20 with Mathematics categories.


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.



Inverse Eigenvalue Problems


Inverse Eigenvalue Problems
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Author : Moody Chu
language : en
Publisher: Oxford University Press
Release Date : 2005-06-16

Inverse Eigenvalue Problems written by Moody Chu and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06-16 with Mathematics categories.


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.



Digital Signal Processing For Multimedia Systems


Digital Signal Processing For Multimedia Systems
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Author : Keshab K. Parhi
language : en
Publisher: CRC Press
Release Date : 1999-03-11

Digital Signal Processing For Multimedia Systems written by Keshab K. Parhi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-03-11 with Technology & Engineering categories.


Addresses a wide selection of multimedia applications, programmable and custom architectures for the implementations of multimedia systems, and arithmetic architectures and design methodologies. The book covers recent applications of digital signal processing algorithms in multimedia, presents high-speed and low-priority binary and finite field arithmetic architectures, details VHDL-based implementation approaches, and more.



Light Propagation In Periodic Media


Light Propagation In Periodic Media
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Author : Michel Neviere
language : en
Publisher: CRC Press
Release Date : 2018-10-03

Light Propagation In Periodic Media written by Michel Neviere and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-03 with Science categories.


Based on more than 30 years of research on differential theories of gratings, this book describes developments in differential theory for applications in spectroscopy, acoustics, X-ray instrumentation, optical communication, information processing, photolithography, high-power lasers, high-precision engineering, and astronomy. Introducing the Fast Fourier Factorization approach to improve the convergence of a truncated series, the book examines multilayers, stacked gratings, crossed gratings, photonic crystals, and isotropic and anisotropic materials; techniques and examples in grating design; and Maxwell equations in a truncated Fourier space.



Siam Journal On Matrix Analysis And Applications


Siam Journal On Matrix Analysis And Applications
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Author :
language : en
Publisher:
Release Date : 1994

Siam Journal On Matrix Analysis And Applications written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematical analysis categories.


Contains research articles on linear algebra with emphasis on applications and numerical procedures. These applications include such areas as Markov chains, networks, signal processing, systems and control theory, mathematical programming, economic and biological modeling, and statistics and operations research.



Electrical Electronics Abstracts


Electrical Electronics Abstracts
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Author :
language : en
Publisher:
Release Date : 1997

Electrical Electronics Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Electrical engineering categories.