子矩阵约束下的Hermite-Hamilton矩阵反问题

Acta mathematica scientia,Series A

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The Inverse Problem of Hermitian-Hamiltonian Matrices with a Submatrix Constraint

Gong Lisha; Hu Xiyan; Zhang Lei

(School of Applied Mathematics,University of Electronic Science and Technology of China, Chengdu 610054)

Received:2005-12-27 Revised:2007-11-08 Online:2008-08-25 Published:2008-08-25
Contact: Gong Lisha

Abstract

Abstract: The paper discusses the solutions of inverse problem AX=B for Hermitian-Hamiltonian matrices with a submatrix constraint, the sufficient and necessary conditions under which the problem is solvable are obtained, and the general expression of the solutions is given. Moreover, to an arbitrary given matrix, the relative optimal approximation solution in the solution set is presented.

Key words: Hermitian-Hamiltonian matrix, Inverse problem, Frobenius norm, Optimal approximation

CLC Number:

15A24

Gong Lisha; Hu Xiyan; Zhang Lei. The Inverse Problem of Hermitian-Hamiltonian Matrices with a Submatrix Constraint[J].Acta mathematica scientia,Series A, 2008, 28(4): 694-700.

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The Inverse Problem of Hermitian-Hamiltonian Matrices with a Submatrix Constraint

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