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    题名: 計算一個逆特徵值問題
    Computing an Inverse Eigenvalue Problem
    作者: 范慶辰
    Fan, Ching chen
    贡献者: 王太林
    范慶辰
    Fan, Ching chen
    关键词: 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
    上传时间: 2016-04-28 15:18:40 (UTC+8)
    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.
    〔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.
    〔3〕J. J. Dongarra, C. B. Moler, J. R. Bunch, G. W. Stewart, LINPACK User’s Guide, STAM 1979.
    〔4〕W. Gautschi, Is the Recurrence Relation for Orthogonal Polynomials Always Stable?, BIT 33(1993), pp.277-284.
    〔5〕W. B. Gragg, W. J. Harrod, The Numerically Stable Reconstruction of Jacobi Matrices from Spectral Data, Numer. Math. 44(1984), pp.317-335.
    〔6〕B. N. Parlett, The Symmetric Eigenvalue Problem, Prentice-Hall 1980.
    〔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.
    〔8〕T. L. Wang, The QR Transformation for Normal Hessenberg Matrices, unpublished manuscript (1998).
    〔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
    数据类型: thesis
    显示于类别:[應用數學系] 學位論文

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