Equation Conditions of Frobenius Inequality and Equation of the Rank of Diagonalizable Matrix
Author(s): LIN Limei, ZHOU Shuming, YANG Zhongpeng, CHEN Meixiang
Pages: 39-42
Year: 2011 Issue: 3
Journal: Journal of Shanxi Normal University(Natural Science Edition)
Keyword: diagnalizable matrix; equation of the rank of matrix; matrix polynomial; necessary and sufficient condition;
Abstract: 本文从Marsaglia和Styan给出的矩阵乘积的Sylvester与Frobenius不等式中等式成立充要条件出发，利用可同时对角化矩阵的广义逆的性质，给出了可同时对角化矩阵的Sylvester与Frobenius不等式中等式成立的一系列新的充要条件．
Pages: 39-42
Year: 2011 Issue: 3
Journal: Journal of Shanxi Normal University(Natural Science Edition)
Keyword: diagnalizable matrix; equation of the rank of matrix; matrix polynomial; necessary and sufficient condition;
Abstract: 本文从Marsaglia和Styan给出的矩阵乘积的Sylvester与Frobenius不等式中等式成立充要条件出发，利用可同时对角化矩阵的广义逆的性质，给出了可同时对角化矩阵的Sylvester与Frobenius不等式中等式成立的一系列新的充要条件．
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