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

Sukakah anda buku ini?

Bagaimana kualiti fail ini?

Muat turun buku untuk menilai kualitinya

Bagaimana kualiti fail yang dimuat turun?

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.

Kategori:

Computers - Algorithms and Data Structures

Tahun:

2018

Penerbit:

Society for Industrial and Applied Mathematics

Bahasa:

english

Halaman:

148

ISBN 10:

1611975336