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計算一個逆特徵值問題 / Computing an Inverse Eigenvalue Problem

In this thesis three methods LMGS, TQR and GR are applied to
solve an inverseeigenvalue problem. We list the numerical
results and compare the accuracy of the computed Jacobi matrix $T$ and the associated orthogonal matrix $Q$, wherethe columns of $Q^T$ are the eigenvectors of $T$. In the application of this inverse eigenvalue problem, the Fourier coefficients of $h(x)=e^x$ relative to the orthonormal polynomials associatedwith $T$ are evaluated, and these values are used to compute the least squarescoefficients of $h$ relative to the Chebyshev polynomials. We list thesenumerical results and compare them as our conclusion.

Identiferoai:union.ndltd.org:CHENGCHI/B2002002886
Creators范慶辰, Fan, Ching chen
Publisher國立政治大學
Source SetsNational Chengchi University Libraries
Language英文
Detected LanguageEnglish
Typetext
RightsCopyright © nccu library on behalf of the copyright holders

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