| 有理对称矩阵的准正交相似 |
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| 引用本文： | 滕冬梅.有理对称矩阵的准正交相似[J].数学的实践与认识,2011,41(18). |
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| 作者姓名： | 滕冬梅 |
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| 作者单位： | 苏州大学数学科学学院,江苏苏州,215006 |
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| 摘 要： | 对一个有理对称矩阵A,用线性代数的理论直接证明了存在准正交矩阵P使得P~(-1)AP成为A的有理标准形,并给出了P的算法.
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| 关 键 词： | 有理标准形 对称矩阵 矩阵的相似 |
On the Quasi-orthogonal Similarity of Rational Symmetric Matrices |
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| TENG Dong-mei.On the Quasi-orthogonal Similarity of Rational Symmetric Matrices[J].Mathematics in Practice and Theory,2011,41(18). |
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| Authors: | TENG Dong-mei |
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| Institution: | TENG Dong-mei (School of Mathematical Sciences,Suzhou University,Suzhou 215006,China) |
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| Abstract: | Let A be a rational symmetric matrix,we will prove that there exists a quasiorthogonal matrix P such that P~(-1)AP becomes the rational canonical form of A.One algorithm for P is also given. |
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| Keywords: | rational canonical forms symmetric matrices similarity of matrices |
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