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 ...
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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.
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Add this copy of Core-Chasing Algorithms for the Eigenvalue Problem to cart. £62.61, new condition, Sold by Books2anywhere rated 5.0 out of 5 stars, ships from Fairford, GLOUCESTERSHIRE, UNITED KINGDOM, published 2018 by MP-SIA SIAM-Society for Industrial and Applied M.
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2018, Society for Industrial & Applied Mathematics,U.S.
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Edition:
2018, Society for Industrial & Applied Mathematics,U.S.
Publisher:
Society for Industrial & Applied Mathematics,U.S.
Published:
7/30/2018 12: 00: 00 AM
Language:
English
Alibris ID:
18570890000
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2018, Society for Industrial & Applied Mathematics,U.S.
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Edition:
2018, Society for Industrial & Applied Mathematics,U.S.
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Society for Industrial & Applied Mathematics,U.S.
Published:
2018
Language:
English
Alibris ID:
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2018, Society for Industrial & Applied Mathematics,U.S.
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2018, Society for Industrial & Applied Mathematics,U.S.
