STRUCTURED SHIFTS FOR SKEW-SYMMETRIC MATRICES

被引：2

作者：

GREIF, C. H. E. N. ^{[1
]}

机构：

[1] Univ British Columbia, Dept Comp Sci, Vancouver, BC V6T 1Z4, Canada

来源：

ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS | 2022年 / 55卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

skew-symmetric matrix; structured shift; Hamiltonian matrix; skew-Hamiltonian matrix; eigenvalue analysis; iterative solution of linear systems; HERMITIAN SPLITTING METHODS; LANCZOS METHOD; EIGENVALUES; ALGORITHM;

D O I：

10.1553/etna_vol55s455

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the use of a skew-symmetric block-diagonal matrix as a structured shift. Properties of Hamiltonian and skew-Hamiltonian matrices are used to show that the shift can be effectively used in the iterative solution of skew-symmetric linear systems or nonsymmetric linear systems with a dominant skew-symmetric part. Eigenvalue analysis and some numerical experiments confirm our observations.

引用

页码：455 / 468

页数：14

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