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.
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页码：455 / 468
页数：14
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