Eigenvector-free solutions to matriz equation AXB = E with two special constraints

摘要：

The matrix equation AXB = E with PX = sXQ or HX = aXR constraint is considered,where P,Q∈Cn×n are Hermitian involutory, H,R∈Cn×n are Hermitian idempotent, s=+1 and α ≠ 0.By eigenvalue decompositions of P, Q, H,R , the constrained problems are equivalently transformed to two well-known unconstrained problems whose coefficient matrices contain the corresponding eigenvectors.So the constrained solutions are constructed by these eigenvectors. With the Hermitian involutory and idempotent characteristic of the matrices P,Q ,H,R, together with Moore-Penrose generalized inverse,the eigenvector-free formulas of the constrained problem are presented.

关键词： eigenvalue decompositions constrained problems constrained solutions Moore-Penrose generalized inverses eigenvector-free formulas

作者: Yuyang Qiu Anding Wang

作者单位: College of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou, 310018 College of Information and Electronics, Zhejiang Gongshang University,Hangzhou, 310018

会议类型: 国际会议

会议名称: The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)

会议地点: 杭州

会议语种:英文

页码: 1294-1296

在线出版日期: 2009-07-09（万方平台首次上网日期，不代表论文的发表时间）