函数矩阵的奇异性初探

Ｇｅｒｓｃｈｉｇｏｒｉｎ对数字矩阵Ａ＝（ａｉｊ）ｎｘｎ讨论了其特征根的范围，导出了由矩阵之数据结构判断Ａ可逆的充分条件．本文将其结论推广到函数矩阵，得到了由函数矩阵的取值结构来判断函数矩阵奇异性的充分条件和一类特殊函数矩阵之道的计算公式

The Discussion About the Oddness of Functional Matrix

Gerschigorin discussed the range of the characteristic roots of the numeral matrix A=(aij)nxn, and deduced the sufficient condition to judge the reversibility of A according to the data structure of the matrix. In this article, we extend that conclusion to a functional matrix, and obtain the sufficient condition to judge the oddness of the functional matrix according to the value structure of the functional matrix and the formula to calculate the converse of a kind of special functional matrix.