Calculation of pseudospectra by the Arnoldi iteration

被引：56

作者：

Toh, KC ^{[1
]}

Trefethen, LN ^{[1
]}

机构：

[1] CORNELL UNIV, DEPT COMP SCI, ITHACA, NY 14853 USA

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 1996年 / 17卷 / 01期

关键词：

Arnoldi; Lanczos; pseudospectra; numerical range; hydrodynamic stability;

D O I：

10.1137/0917002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Arnoldi iteration, usually viewed as a method for calculating eigenvalues, can also be used to estimate pseudospectra. This possibility may be of practical importance, because in applications involving highly nonnormal matrices or operators, such as hydrodynamic stability, pseudospectra may be physically more significant than spectra.

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页码：1 / 15

页数：15

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