摘要
以子空间缩聚及正交分解为基础 ,根据复矩阵的奇异值分解定理 ,对广义复特征值摄动问题 ,提出了一种能同时有效地处理孤立复特征值、相重复特征值及相近复特征值 3种不同情况的逐步逼近法。计算实例表明 ,该方法合理可靠 ,通用性好 ,且具有足够的精度。
For the generalized complex eigenvalue perturbation problem, an efficient method is proposed. This method is a kind of successive approximation procedure, which is deve loped by performing a sub space condensation and by using the singular value decomposition of a complex matrix. The first and second perturbation formulas are derived. The present method is universally applicable to non self adjoint systems with all the three cases of complex eigenvalues:distinct, repeated and closely spaced eigenvalues. Illustrative examples are presented. It is shown that the present method gives acceptable accuracy.
出处
《振动．测试与诊断》
EI
CSCD
2000年第4期249-253,共5页
Journal of Vibration,Measurement & Diagnosis
基金
香港中山大学高等学术研究中心基金! (编号 :99M6)
广东省自然科学基金资助项目! (编号 :960 0 30 )
