矩阵Hadamard乘积的一些性质

Hadamard Multiplication of Matrix

研究了矩阵Hadamard乘积的元素和的性质,得到一系列新的结果.发现两个矩阵不同,是因为它们之间存在夹角和大小的差异.找到了矩阵垂直的充要条件,矩阵Hadamard乘积的元素和与此矩阵的行列式的关系。

This paper studied the characteristics of the sum of element for matrix Hadamard product and got a series of new findings, The discovery was that there were differences between two matrixes because of the diversities in intersection angle and magnitude. The sufficient and necessary condition for matrix perpendicularity and the relationship between the sum of dement for matrix Hadamard product and the determinant for this matrix was also found.