Geršgorin and His Circles by Richard S. Varga
English | PDF | 2004 | 241 Pages | ISBN : 3540211004 | 7.53 MB
This book studies the original results, and their extensions, of the Russian mathematician S.A. Geršgorin 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.
The goal of this book is to give a careful and up-to-date treatment of various aspects of this topic. The author ?rst learned of Ger? sgorin’s results from friendly conversations with Olga Taussky-Todd and John Todd, which inspired me to work in this area.
"Contains numerous simple examples and illustrative diagrams….For anyone seeking information about eigenvalue inclusion theorems, this book will be a great reference." –Mathematical Reviews
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