Geršgorin and his circles

書誌事項

Geršgorin and his circles

Richard S. Varga

(Springer series in computational mathematics, 36)

Springer, 2011, c2004

corr. 2nd print

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注記

"A number of changes have been made to correct some small errors in the original printing of this book."--Pref

Includes bibliographical references and indexes

内容説明・目次

内容説明

"Contains numerous simple examples and illustrative diagrams....For anyone seeking information about eigenvalue inclusion theorems, this book will be a great reference." --Mathematical Reviews This book studies the original results, and their extensions, of the Russian mathematician S.A. Gersgorin who wrote a seminal paper in 1931 on how to easily obtain estimates of all n eigenvalues (characteristic values) of any given n-by-n complex matrix.

目次

Basic Theory.- Gersgorin-Type Eigenvalue Inclusion Theorems.- More Eigenvalue Inclusion Results.- Minimal Gersgorin Sets and Their Sharpness.- G-Functions.- Gersgorin-Type Theorems for Partitioned Matrices.

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