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A UNIVERSAL MATRIX PERTURBATION TECHNIQUE FOR COMPLEX MODES

A UNIVERSAL MATRIX PERTURBATION TECHNIQUE FOR COMPLEX MODES
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摘要 A universal matrix perturbation technique for complex modes is presented. This technique is applicable to all the three cases of complex eigenvalues: distinct, repeated and closely spaced eigenvalues. The lower order perturbation formulas are obtained hy performing two complex eigensubspace condensations, and the higher order perturbation formulas are derived hy a successive approximation process. Three illustrative examples are given to verify the proposed method and satisfactory results are observed. A universal matrix perturbation technique for complex modes is presented. This technique is applicable to all the three cases of complex eigenvalues: distinct, repeated and closely spaced eigenvalues. The lower order perturbation formulas are obtained hy performing two complex eigensubspace condensations, and the higher order perturbation formulas are derived hy a successive approximation process. Three illustrative examples are given to verify the proposed method and satisfactory results are observed.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2001年第3期361-367,共7页 应用数学和力学(英文版)
基金 theNaturalScienceFoundationofGuangdongProvince !( 96 0 0 30 )
关键词 perturbation method complex modes repeated eigenvalues closely spaced eigenvalues perturbation method complex modes repeated eigenvalues closely spaced eigenvalues
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参考文献6

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