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Please use this identifier to cite or link to this item: https://ah.lib.nccu.edu.tw/handle/140.119/87595
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dc.contributor.advisor王太林zh_TW
dc.contributor.author范慶辰zh_TW
dc.contributor.authorFan, Ching chenen_US
dc.creator范慶辰zh_TW
dc.creatorFan, Ching chenen_US
dc.date1995en_US
dc.date.accessioned2016-04-28T07:18:40Z-
dc.date.available2016-04-28T07:18:40Z-
dc.date.issued2016-04-28T07:18:40Z-
dc.identifierB2002002886en_US
dc.identifier.urihttp://nccur.lib.nccu.edu.tw/handle/140.119/87595-
dc.description碩士zh_TW
dc.description國立政治大學zh_TW
dc.description應用數學系zh_TW
dc.description83751009zh_TW
dc.description.abstractIn this thesis three methods LMGS, TQR and GR are applied tozh_TW
dc.description.tableofcontents1 Introduction……1\r\n1.1 An Inverse Eigenvalue Problem……1\r\n1.2 Lanczos Process……2\r\n1.3 Orthogonal Polynomials……4\r\n1.4 TQR Method……5\r\n1.5 GR Method……7\r\n2 Example and Numerical Results……10\r\n2.1 Examples……10\r\n2.2 Difference between L and LMGS……10\r\n2.3 Comparison of LMGS, TQR and GR……13\r\n3 Application to the Least Squares Problem……16\r\n3.1 Fourier Coefficients……16\r\n3.2 Polynomial Least Squares Approximation……20\r\n4 Conclusion……23\r\nReferences……23zh_TW
dc.source.urihttp://thesis.lib.nccu.edu.tw/record/#B2002002886en_US
dc.subject逆特徵值問題zh_TW
dc.subject蘭克澤斯演算法zh_TW
dc.subjectQR 演算法zh_TW
dc.subjectInverse eigenvalue problemen_US
dc.subjectLanczos algorithmen_US
dc.subjectQR algorithmen_US
dc.title計算一個逆特徵值問題zh_TW
dc.titleComputing an Inverse Eigenvalue Problemen_US
dc.typethesisen_US
dc.relation.reference〔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.zh_TW
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