A symmetric structure-preserving ΓQR algorithm for linear response eigenvalue problems

Tiexiang Li, Ren Cang Li*, Wen-Wei Lin

*Corresponding author for this work

研究成果: Article同行評審

7 引文 斯高帕斯(Scopus)

摘要

In this paper, we present an efficient ΓQR algorithm for solving the linear response eigenvalue problem Hx=λx, where H is Π-symmetric with respect to Γ0=diag(In,−In). Based on newly introduced Γ-orthogonal transformations, the ΓQR algorithm preserves the Π-symmetric structure of H throughout the whole process, and thus guarantees the computed eigenvalues to appear pairwise (λ,−λ) as they should. With the help of a newly established implicit Γ-orthogonality theorem, we incorporate the implicit multi-shift technique to accelerate the convergence of the ΓQR algorithm. Numerical experiments are given to show the effectiveness of the algorithm.

原文English
頁(從 - 到)191-214
頁數24
期刊Linear Algebra and Its Applications
520
DOIs
出版狀態Published - 1 五月 2017

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