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題 名 | Asymptotic Perturbation of Palindromic Eigenvalue Problems |
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作 者 | 李鐵香; 朱景華; 王辰樹; | 書刊名 | Taiwanese Journal of Mathematics |
卷 期 | 14:3A 2010.06[民99.06] |
頁 次 | 頁781-793 |
分類號 | 314.7 |
關鍵詞 | Eigenvalue; Eigenvector; Implicit function theorem; Matrix polynomial; Palindromic eigenvalue problem; Palindromic linearization; Perturbation; |
語 文 | 英文(English) |
英文摘要 | We investigate the perturbation of the palindromic eigenvalue problemfor the matrix quadratic P (λ)≡ λ2AT 1 +λA0 +A1, with A0,A1 ∈ Cn×n and AT = A0. The perturbation of eigenvalues and eigenvectors, in terms of palindromic matrix polynomials and palindromic linearizations, are discussed using Sun’s implicit function approach. |
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