斜对称矩阵的结构化移位

ETNA - Electronic Transactions on Numerical Analysis Pub Date : 1900-01-01 DOI:10.1553/etna_vol55s455

C. Greif

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引用次数: 2

摘要

．我们考虑使用斜对称块对角矩阵作为结构化移位。利用哈密顿矩阵和偏哈密顿矩阵的性质，证明了位移可以有效地应用于偏对称线性系统或偏对称部分占主导的非对称线性系统的迭代解中。特征值分析和一些数值实验证实了我们的观察结果。

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Structured shifts for skew-symmetric matrices

. 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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ETNA - Electronic Transactions on Numerical Analysis

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