关于对角占优矩阵A的n阶Hadamard积的不等式的证明

On Double Strictly Diagonal Asset Matrix Hadamard Inequality

将双严格对角占优矩阵的性质与Hadamard不等式相结合,得出一个具有双严格对角占优性质的矩阵的Hadamard不等式,将以上内容扩展至A自身的Hadamard乘积,得到一个关于AOA的不等式,再将其进一步扩展得到一个双严格对角占优矩阵A的n阶Hadamard积的不等式。

This article take the Hadamard inequality theorem as the main principle, Occupies the superior matrix and Asia using the double strict opposite angle is deciding the matrix the relation, occupies the double strict opposite angle the superior matrix the nature and the Hadamard inequality unifies. Obtains to have the double strict opposite angle to occupy the dominance archery target matrix the Hadamard inequality, Again above the content will expand to A own Hadamard product, obtains about the AoA inequality, again further expands it obtains a double strict opposite angle to occupy the inequality which superior matrix A n step Hadamard accumulates, Finally uses proves the result to obtain the double strict opposite angle again to occupy superior matrix A, B Hadamard accumulates AoB the inequality.