m －1个 k次广义对合矩阵与任意矩阵线性组合的 t次广义对合性

摘要

We study the t‐generalized involutivity of the linear combinations of m-1 times k‐generalized involutory matrices and arbitray matricx ,it is a generalization of the know n results in preserving property for the linear combinations of one times k‐generalized involutory matricx and any matricx .As the applica‐tion of the theory ,we give a practical example .%该文主要研究了 m－1个 k次广义对合矩阵与任意矩阵线性组合的t次广义对合性，它是已有结果关于广义对合矩阵与任意矩阵线性组合的保持性问题的推广，并举出了一个应用例子。