GerSgorin and His Circles

Von:

Richard S Varga

Beschreibung

"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 t...

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Beschreibung

"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.

Inhalt

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.