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FEAST EIGENSOLVER FOR NON-HERMITIAN PROBLEMS

delete2016-01-01
delete39
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OA
AI
J
James Kestyn *
E
Eric Polizzi
P
Ping Tang
DOI:10.1137/15M1026572delete
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摘要

摘要

En 中文
A detailed new upgrade of the FEAST eigensolver targeting non-Hermitian eigenvalue problems is presented and thoroughly discussed. It aims at broadening the class of eigenproblems that can be addressed within the framework of the FEAST algorithm. The algorithm is ideally suited for computing selected interior eigenvalues and their associated right/left biorthogonal eigenvectors located within a subset of the complex plane. It combines subspace iteration with efficient contour integration techniques that approximate the left and right spectral projectors. We discuss the various algorithmic choices that have been made to improve the stability and usability of the new non-Hermitian eigensolver. The latter retains the convergence property and multilevel parallelism of Hermitian FEAST, making it a valuable new software tool for the scientific community.
Keyword:
non-Hermitian eigenproblem
FEAST
spectral projectors
contour integration
right/left eigenvectors
biorthogonal vectors
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期刊

SIAM Journal on Scientific Computing 封面图
SIAM Journal on Scientific Computing
IF:
2.6
论文数:
5.1K
被引数:
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U
university of massachusetts system
学者数:
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论文数: 3.5W
被引数: 42
U
University of Massachusetts Amherst
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论文数: 8.9K
被引数: 19
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