
最 低 价:¥605.20
定 价:¥807.00
作 者:Richard S. Varga,RichardVarga 著 著
出 版 社:北京燕山出版社
出版时间:2004-10-1
I S B N:9783540211006
| I. Preface 2 Basic Theory 1.1 Gersgorin's Theorem 1.2 Extensions of Gersgorin's Theorem via Graph Theory 1.3 Analysis Extensions of Gersgorin's Theorem and Fan's Theorem 1.4 A Norm Derivation of Gersgorin's Theorem 1.1 1 Gersgorin-Type Eigenvalue Inclusion Theorems 2.1 Brauer's Ovals of Cassini 2.2 Higher-Order Lemniscates 2.3 Comparison of the Brauer Sets and the Brualdi Sets 2.4 The Sharpness of Brualdi Lemniscate Sets 2.5 An Example 3 More Eigenvalue Inclusion Results 3.1 The Parodi-Schneider Eigenvalue Inclusion Sets 3.2 The Field of Values of a Matrix 3.3 Newer Eigenvalue Inclusion Sets 3.4 The Pupkov-Solov'ev Eigenvalue Inclusions Set 4 Minimal Gersgorin Sets and Their Sharpness 4.1 Minimal Gersgorin Sets 4.2 Minimal Gersgorin Sets via Permutations 4.3 A Comparison of Minimal Gersgorin Sets and Brualdi Sets 5 G-Functions 5.1 The Sets Fn and Gn 5.2 Structural Properties of Gn and Gc 5.3 Minimal G-Functions 5.4 Minimal G-Functions with Small Domains of Dependence 5.5 Connections with Brauer Sets and Generalized Brualdi Sets 6 Gersgorin-Type lneorems for Partitioned Matrices 6.1 Partitioned Matrices and Block Diagonal Dominance 6.2 A Different Norm Approach 6.3 A Variation on a Theme by Brualdi 6.4 G-Functions in the Partitioned Case Appendix A. Gersgorin's Paper from 1931, and Comments Appendix B. Vector Norms and Induced Operator Norms Appendix C. The Perron-robemus Theory of Nonnegative Matrices Appendix D. Matlab 6 Programs References |
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