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摘要: |
给出o-对称矩阵概念及结构,研究其中一类o-对称矩阵的LDU分解和Cholesky分解及三对角分解,给出了分解公式,得到了一些新结果,据此可大大减少这类矩阵的LDU分解和Cholesky分解及三对角分解的计算量和存储量。 |
关键词: o-对称矩阵 LDU分解 Cholesky分解 三对角分解 |
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Three Kinds of Decompositions for a Class of o-symmetry Matrix |
GUO Wei
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Abstract: |
This paper gives concept and structure of o-symmetry matrix,studies LDU decomposition,choresky decomposition and triple diagonal decomposition of a class of o-symetry matrix,propose its decomposition formula,and obtains some new conclusions,which can largely reduce the calculation and storage quantity of the three kinds of decompositions of this class of matrix. |
Key words: o-symmetry matrix LDU decomposition Cholesky decomposition triple diagonal decomposition |