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https://ah.lib.nccu.edu.tw/handle/140.119/87595| 題名: | 計算一個逆特徵值問題 Computing an Inverse Eigenvalue Problem |
作者: | 范慶辰 Fan, Ching chen |
貢獻者: | 王太林 范慶辰 Fan, Ching chen |
關鍵詞: | 逆特徵值問題 蘭克澤斯演算法 QR 演算法 Inverse eigenvalue problem Lanczos algorithm QR algorithm |
日期: | 1995 | 上傳時間: | 28-Apr-2016 | 摘要: | In this thesis three methods LMGS, TQR and GR are applied to | 參考文獻: | 〔1〕N. Barkakati, Turbo C++ Bible, Howard W. Sams 1991.\r\n〔2〕C. de Boor, G. H. Golub, The Numerically Stable Reconstruction of A Jacobi Matris from Spectral Data, Linear Algebra and Its Applications 21(1978), pp.245-260.\r\n〔3〕J. J. Dongarra, C. B. Moler, J. R. Bunch, G. W. Stewart, LINPACK User’s Guide, STAM 1979.\r\n〔4〕W. Gautschi, Is the Recurrence Relation for Orthogonal Polynomials Always Stable?, BIT 33(1993), pp.277-284.\r\n〔5〕W. B. Gragg, W. J. Harrod, The Numerically Stable Reconstruction of Jacobi Matrices from Spectral Data, Numer. Math. 44(1984), pp.317-335.\r\n〔6〕B. N. Parlett, The Symmetric Eigenvalue Problem, Prentice-Hall 1980.\r\n〔7〕L. Reichel, Fast QR decomposition of Vandermonde-Like Matrices and Polynomial Least Squares Approximation, SIAM J. Matrix Anal. Appl., 12(1991), pp.552-564.\r\n〔8〕T. L. Wang, The QR Transformation for Normal Hessenberg Matrices, unpublished manuscript (1998).\r\n〔9〕D. S. Watkins, Fundamentals of Matrix Computations, John Wiley 1991. | 描述: | 碩士 國立政治大學 應用數學系 83751009 |
資料來源: | http://thesis.lib.nccu.edu.tw/record/#B2002002886 | 資料類型: | thesis |
| Appears in Collections: | 學位論文 |
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