Normwise scaling of second order polynomial matrices

Hung Yuan Fan; Wen Wei Lin; Paul Van Dooren

doi:10.1137/S0895479803434914

Normwise scaling of second order polynomial matrices

Hung Yuan Fan^*, Wen Wei Lin, Paul Van Dooren

^*此作品的通信作者

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

34 引文斯高帕斯（Scopus）

摘要

We propose a minimax scaling procedure for second order polynomial matrices that aims to minimize the backward errors incurred in solving a particular linearized generalized eigenvalue problem. We give numerical examples to illustrate that it can significantly improve the backward errors of the computed eigenvalue-eigenvector pairs.

原文	英語
頁（從 - 到）	252-256
頁數	5
期刊	SIAM Journal on Matrix Analysis and Applications
卷	26
發行號	1
DOIs	https://doi.org/10.1137/S0895479803434914
出版狀態	已發佈 - 2005
對外發佈	是

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KW - QZ algorithm

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Normwise scaling of second order polynomial matrices

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