C-矩阵Kronecker积与Hadamard积的若干结论
On Results of Kronecker Product and Hadamard Product of C-Matrices
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摘要: 利用C-矩阵定义的等价条件及不等式放缩技巧, 研究了C-矩阵的Kronecker积、Hadamard积是否为C-矩阵.结果表明, C-矩阵的Kronecker积是C-矩阵, C-矩阵的Kronecker和不是C-矩阵.进一步给出了C-矩阵的Hadamard积为C-矩阵的几个充分条件, 并用数值算例对所得结果进行了说明.
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关键词:
- C-矩阵 /
- Kronecker积 /
- Kronecker和 /
- Hadamard积
Abstract: Using the equivalent condition for C-matrices and the skills of magnifying and shrinking of inequality, the Kronecker product (sum) and the Hadamard product for C-matrices are considered.It is shown that the Kronecker product of two C-matrices is in the class of C-matrices, but is not for the Kronecker sum of two C-matrices.Meanwhile, some sufficient conditions such that the Hadamard product of two C-matrices lies in the class of C-matrices are given.Numerical examples are included to illustrate the conclusions.-
Key words:
- C-matrices /
- Kronecker product /
- Kronecker sum /
- Hadamard product .
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