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正交矩陣的特徵值問題計算

本文主旨在探討計算正交矩陣特徵值問題的三種方法。首先利用正交矩陣之特質,將
該矩陣以蘇爾參數(Schur parameters)之形式表出。再以下列三種計算特徵值問題的
方法,去比較這些方法所算出之特徵至與特徵值與特徵向量之精確度。
1.QR方法。
2.DC方法1。
3.SC方法2。
最後,並以此三種方法之適用性作為結論。 / ABSTRACT
The main topic of this essay is to discuss three methods which compute the eigen-problem of orthogonal matrices. First, we use the characteristic of orthogonal matrix to represent the matrix with Schur parmetric form. Then we use the following methods based on structure above to compute and compare the accuracy of eigenvalues andeigenvectors.

Identiferoai:union.ndltd.org:CHENGCHI/B2002004734
Creators王景南, WANG, JING-NAN
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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