Name: Pole-Swapping Algorithms for the Eigenvalue Problem (en Inglés)
Price: 76.53 USD
Availability: InStock
Author: Daan Camps;Thomas Mach;Raf Vandebril;David S. Watkins
ISBN: 9781611978360

portada Pole-Swapping Algorithms for the Eigenvalue Problem (en Inglés)

Pole-Swapping Algorithms for the Eigenvalue Problem (en Inglés)

Formato

Libro Físico

Editorial

SIAM - Society for Industrial and Applied Mathematics

Autor

Daan Camps;Thomas Mach;Raf Vandebril;David S. Watkins

Colección

SIAM Spotlights

Año

2025

Idioma

Inglés

N° páginas

Encuadernación

Tapa Blanda

ISBN13

9781611978360

Pole-Swapping Algorithms for the Eigenvalue Problem (en Inglés)

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

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Reseña del libro "Pole-Swapping Algorithms for the Eigenvalue Problem (en Inglés)"

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.