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Generalizing eigenvalue theorems to pseudospectra theorems

delete2001-01-01
delete36
PRE
AI
M
Mark Embree
L
Lloyd N. Trefethen
DOI：10.1137/S1064827500373012delete
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Abstract

Abstract

En 中文
Analysis of nonsymmetric matrix iterations based on eigenvalues can be misleading. In this paper, we discuss sixteen theorems involving epsilon -pseudospectra that each generalize a familiar eigenvalue theorem and may provide more descriptive information in some cases. Our organizing principle is that each pseudospectral theorem reduces precisely to the corresponding eigenvalue theorem when epsilon = 0.
Keywords:
eigenvalues
pseudospectra
matrix iterations
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Journal

SIAM Journal on Scientific Computing cover
SIAM Journal on Scientific Computing
IF:
2.6
Papers:
5.1K
Citations:
1.8W

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