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- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Series in Computational Mathematics (SSCM, volume 36)
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Table of contents (6 chapters)
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Front Matter
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Back Matter
About this book
Reviews
From the reviews:
"This book is an extremely detailed account of eigenvalue inclusion theorems, starting with the basic Geršgorin disk theorem … . One of the most pleasing features of the book is what Varga calls the first recurring theme: every eigenvalue inclusion theorem has a corresponding nonsingularity theorem. … contains numerous simple examples and illustrative diagrams, and everything is explained in great detail. … For anyone seeking information about eigenvalue inclusion theorems, this book will be a great reference." (David Scott Watkins, Mathematical Reviews, 2005h)
"The monograph presents a survey of results about spectrum localization for matrices, beginning with the first Geršgorin’s eigenvalue inclusion result … . This book contains many new and some unpublished results as a survey of many Geršgorin type results in the literature. The presented material is almost entirely self-contained with exercises which are useful both for graduate students in mathematics and physicists, engineers and computer scientists." (Boris V. Loginov, Zentralblatt MATH, 1057:8, 2005)
"The new book of Varga contains, along with several new results, nearly all that has been discovered about eiegnvalue inclusions since 1931. … One of the merits of this book is the information that it provides about Semën Aronovic Gersgorin … . I like this book and recommend reading it." (L. Elsner, American Mathematical Monthly, Vol. 113, April, 2006)
Authors and Affiliations
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Institute for Computational Mathematics, Kent State University, Kent, USA
Richard S. Varga
Bibliographic Information
Book Title: Geršgorin and His Circles
Authors: Richard S. Varga
Series Title: Springer Series in Computational Mathematics
DOI: https://doi.org/10.1007/978-3-642-17798-9
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2004
Hardcover ISBN: 978-3-540-21100-6Published: 11 August 2004
Softcover ISBN: 978-3-642-05928-5Published: 01 December 2010
eBook ISBN: 978-3-642-17798-9Published: 31 December 2010
Series ISSN: 0179-3632
Series E-ISSN: 2198-3712
Edition Number: 1
Number of Pages: X, 230
Number of Illustrations: 1 illustrations in colour
Topics: Numerical Analysis
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