Structured shifts for skew-symmetric matrices

Electronic Transactions on Numerical Analysis

article

Chen Greif¹ 

[1] Department of Computer Science, The University of British Columbia

关键词: skew-symmetric matrix;    structured shift;    Hamiltonian matrix;    skew-Hamiltonian matrix;    eigenvalue analysis;    iterative solution of linear systems;   

DOI  :  10.1553/etna_vol55s455

学科分类：数学（综合）

来源: Kent State University * Institute of Computational Mathematics

【 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.

【 授权许可】

Unknown