A=（aij） ∈Rn×n is termed bisymmetric matrix if We denote the set of all n × n bisymmetric matrices by BSRn×n In this paper, we discuss the following two problems: Problem I. Given X, Find such that Pr...A=（aij） ∈Rn×n is termed bisymmetric matrix if We denote the set of all n × n bisymmetric matrices by BSRn×n In this paper, we discuss the following two problems: Problem I. Given X, Find such that Problem Ⅱ. Gived . Find such that where ||·|| is Frobenius norm, and SE is the solution set of Problem I. The general form of SE has been given. The necessary and sufficient conditions have been studied for the special cases AX = B and AX = XA of problem I. For problem Ⅱ the expression of the solution has been provided.展开更多
文摘A=（aij） ∈Rn×n is termed bisymmetric matrix if We denote the set of all n × n bisymmetric matrices by BSRn×n In this paper, we discuss the following two problems: Problem I. Given X, Find such that Problem Ⅱ. Gived . Find such that where ||·|| is Frobenius norm, and SE is the solution set of Problem I. The general form of SE has been given. The necessary and sufficient conditions have been studied for the special cases AX = B and AX = XA of problem I. For problem Ⅱ the expression of the solution has been provided.
