Computing the Eigenproblem of a Real Orthogonal Matrix

碩士 === 國立政治大學 === 應用數學系 === 88 === Let H be an orthogonal Hessenberg matrix whose eigenvalues, and possibly eigenvectors, are to be determined. Then H can be represented in Schur parametric form [2]. Following Ammar, Gragg, and Reichel's paper [1], we compute the eigenproblem of H by...

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Main Authors:	Yueh Wen Cheng, 鄭月雯
Other Authors:	Tai Lin Wang
Format:	Others
Language:	en_US
Published:	2000
Online Access:	http://ndltd.ncl.edu.tw/handle/44844048485434990689

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spelling	ndltd-TW-088NCCU05070072015-10-13T10:56:28Z http://ndltd.ncl.edu.tw/handle/44844048485434990689 Computing the Eigenproblem of a Real Orthogonal Matrix 計算實數正交矩陣的特徵問題 Yueh Wen Cheng 鄭月雯碩士國立政治大學應用數學系 88 Let H be an orthogonal Hessenberg matrix whose eigenvalues, and possibly eigenvectors, are to be determined. Then H can be represented in Schur parametric form [2]. Following Ammar, Gragg, and Reichel's paper [1], we compute the eigenproblem of H by finding the singular values (and vectors) of two bidiagonal matrices whose elements are explicitly known functions of the Schur parameters. We compare the accuracy and speed of our programs using the method described aboved with those in CLAPACK. Numerical results conclude this thesis. Tai Lin Wang 王太林 2000 學位論文 ; thesis 0 en_US
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
description	碩士 === 國立政治大學 === 應用數學系 === 88 === Let H be an orthogonal Hessenberg matrix whose eigenvalues, and possibly eigenvectors, are to be determined. Then H can be represented in Schur parametric form [2]. Following Ammar, Gragg, and Reichel's paper [1], we compute the eigenproblem of H by finding the singular values (and vectors) of two bidiagonal matrices whose elements are explicitly known functions of the Schur parameters. We compare the accuracy and speed of our programs using the method described aboved with those in CLAPACK. Numerical results conclude this thesis.
author2	Tai Lin Wang
author_facet	Tai Lin Wang Yueh Wen Cheng 鄭月雯
author	Yueh Wen Cheng 鄭月雯
spellingShingle	Yueh Wen Cheng 鄭月雯 Computing the Eigenproblem of a Real Orthogonal Matrix
author_sort	Yueh Wen Cheng
title	Computing the Eigenproblem of a Real Orthogonal Matrix
title_short	Computing the Eigenproblem of a Real Orthogonal Matrix
title_full	Computing the Eigenproblem of a Real Orthogonal Matrix
title_fullStr	Computing the Eigenproblem of a Real Orthogonal Matrix
title_full_unstemmed	Computing the Eigenproblem of a Real Orthogonal Matrix
title_sort	computing the eigenproblem of a real orthogonal matrix
publishDate	2000
url	http://ndltd.ncl.edu.tw/handle/44844048485434990689
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Computing the Eigenproblem of a Real Orthogonal Matrix

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