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portada Pole-Swapping Algorithms for the Eigenvalue Problem
Type
Physical Book
Publisher
Author
Collection
SIAM Spotlights
Year
2025
Language
English
Pages
96
Format
Paperback
ISBN13
9781611978360

Pole-Swapping Algorithms for the Eigenvalue Problem

Daan Camps;Thomas Mach;Raf Vandebril;David S. Watkins (Author) · SIAM - Society for Industrial and Applied Mathematics · Paperback

Pole-Swapping Algorithms for the Eigenvalue Problem - Daan Camps;Thomas Mach;Raf Vandebril;David S. Watkins

New Book Imported to New Zealand
Delivery: 11 Aug - 19 Aug Shipping: 11 to 13 business days.
NZ$ 134.01
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Synopsis "Pole-Swapping Algorithms for the Eigenvalue Problem"

Pole-swapping algorithms offer a refined generalization of traditional bulge-chasing methods such as QR and QZ, achieving higher speed and accuracy in solving matrix eigenvalue problems. This work unveils the underlying theory, equipping researchers, developers, and students to tackle complex computational challenges in science and engineering.

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.

The only book on the topic, Pole-Swapping Algorithms for the Eigenvalue Problem describes the state of the art on eigenvalue methods and provides an improved understanding and explanation of why these important algorithms work.

Audience
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.

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The binding of this edition is Paperback.

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