Weighted Block Golub-Kahan-Lanczos Algorithms for Linear Response Eigenvalue Problem

Weighted Block Golub-Kahan-Lanczos Algorithms for Linear Response Eigenvalue Problem

In order to solve all or some eigenvalues lied in a cluster, we propose a weighted block Golub-Kahan-Lanczos algorithm for the linear response eigenvalue problem. Error bounds of the approximations to an eigenvalue cluster, as well as their corresponding eigenspace, are established and show the adva...

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Bibliographic Details
Main Authors: Hongxiu Zhong, Zhongming Teng, Guoliang Chen
Format: Article
Language:English
Published: MDPI AG 2019-01-01
Series:Mathematics
Subjects:
linear response eigenvalue problem
block methods
weighted Golub-Kahan-Lanczos algorithm
convergence analysis
thick restart
Online Access:http://www.mdpi.com/2227-7390/7/1/53

Internet

http://www.mdpi.com/2227-7390/7/1/53

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