| 探讨方阵的因子分解与其零度之关系 |
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| 引用本文： | 郑长和.探讨方阵的因子分解与其零度之关系[J].汕头大学学报(自然科学版),1998(1). |
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| 作者姓名： | 郑长和 |
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| 作者单位： | 汕头教育学院数学系!汕头，515041 |
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| 摘 要： | 本文讨论在一般数域F上任一方阵的因子分解与零度之关系，论证了一个方阵化为两个或两个以上对称矩阵的乘积时，其零度之间必须满足的条件，并给出矩阵进行因子分解的实际方法．
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| 关 键 词： | 若当标准形 对称矩阵 零度 初等因子 相似 合同 直和 |
Studies on the relationship between the factorization of a square matrix and its nullities |
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| Zhang Changhe.Studies on the relationship between the factorization of a square matrix and its nullities[J].Journal of Shantou University(Natural Science Edition),1998(1). |
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| Authors: | Zhang Changhe |
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| Institution: | Department of Mathematics. Shantou Pedagogical College. Shantou. 515041 |
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| Abstract: | In this paper we discuss the relationship between the factorization of a square matrix over a field F and its nullify, expound and prove the necessary conditions for the relation between the nullities of the derived symmetric matrices when a square matrix is changed into the product of two or over two symmetric matrices, and present pratical methods for the factorization of a matrix. |
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| Keywords: | Jordan standard block symmetric matrix nullity elementary divisor similarity congruence |
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