Core-Chasing Algorithms for the Eigenvalue Problem

Main
Computers - Algorithms and Data Structures
Core-Chasing Algorithms for the...

Core-Chasing Algorithms for the Eigenvalue Problem

Name: Core-Chasing Algorithms for the Eigenvalue Problem
ISBN: 9781611975338

Raf Vandebril, David S. Watkins Jared L. Aurentz, Thomas Mach, Leonardo Robol

0 / 0

0 comments

Որքա՞ն է ձեզ դուր եկել այս գիրքը:

Ինչպիսի՞ն է բեռնված ֆայլի որակը:

Բեռնեք գիրքը` գնահատելու դրա որակը

Ինչպիսի՞ն է բեռնված ֆայլերի որակը:

Eigenvalue computations are ubiquitous in science and engineering. John Francis's implicitly shifted QR algorithm has been the method of choice for small to medium sized eigenvalue problems since its invention in 1959. This book presents a new view of this classical algorithm. While Francis's original procedure chases bulges, the new version chases core transformations, which allows the development of fast algorithms for eigenvalue problems with a variety of special structures. This also leads to a fast and backward stable algorithm for computing the roots of a polynomial by solving the companion matrix eigenvalue problem. The authors received a SIAM Outstanding Paper prize for this work. This book will be of interest to researchers in numerical linear algebra and their students.

Կատեգորիաներ:

Computers - Algorithms and Data Structures

Տարի:

2018

Հրատարակչություն:

Society for Industrial and Applied Mathematics

Լեզու:

english

Էջեր:

148

ISBN 10:

1611975336