AN ITERATIVE METHOD FOR THE HERMITIAN-GENERALIZED HAMILTONIAN SOLUTIONS TO THE INVERSE PROBLEM AX = B WITH A SUBMATRIX CONSTRAINT

作者：Cai, J.^*

来源：Bulletin of the Iranian Mathematical Society, 2013, 39(6): 1249-1260.

• Inverse problem
• Hermitian-generalized Hamiltonian matrix
• submatrix constraint
• optimal approximation

In this paper, an iterative method is proposed for solving the matrix inverse problem AX = B for Hermitian-generalized Hamiltonian matrices with a submatrix constraint. By this iterative method, for any initial matrix A(0), a solution A* can be obtained in finite iteration steps in the absence of roundoff errors, and the solution with least norm can be obtained by choosing a special kind of initial matrix. Furthermore, in the solution set of the above problem, the unique optimal approximation solution to a given matrix can also be obtained. A numerical example is presented to show the efficiency of the proposed algorithm.

• 出版日期2013-12
• 单位湖州师范学院