Geršgorin and his circles

著者

• Varga, Richard S.

書誌事項

Geršgorin and his circles

Richard S. Varga

（Springer series in computational mathematics, 36）

Springer, 2011, c2004

corr. 2nd print

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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詳細情報

• NII書誌ID(NCID): BB11160305
• ISBN:
  • 9783540211006
• 出版国コード: gw
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Berlin
• ページ数/冊数: x, 226 p.
• 大きさ: 25 cm
• 分類:
  • LCC : QA193
  • DC22 : 512.9/43
• 件名:
  • LCSH : Eigenvalues
  • LCSH : Matric inequalities
  • LCSH : Algebras, Linear
  • LCSH : Geršgorin, Semen Aronovich, 1901-1933
• 親書誌ID:
  • BA0020163X