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政大機構典藏 > 理學院 > 應用數學系 > 學位論文 > Item 140.119/87595

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/87595

Title:	計算一個逆特徵值問題 Computing an Inverse Eigenvalue Problem
Authors:	范慶辰 Fan, Ching chen
Contributors:	王太林范慶辰 Fan, Ching chen
Keywords:	逆特徵值問題蘭克澤斯演算法 QR 演算法 Inverse eigenvalue problem Lanczos algorithm QR algorithm
Date:	1995
Issue Date:	2016-04-28 15:18:40 (UTC+8)
Abstract:	In this thesis three methods LMGS, TQR and GR are applied to
Reference:	〔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 〔8〕T. L. Wang, The QR Transformation for Normal Hessenberg Matrices, unpublished manuscript (1998).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.
Description:	碩士國立政治大學應用數學系 83751009
Source URI:	http://thesis.lib.nccu.edu.tw/record/#B2002002886
Data Type:	thesis
Appears in Collections:	[應用數學系] 學位論文

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