Geršgorin and his circles
著者
書誌事項
Geršgorin and his circles
（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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