The -Reflexive Solution to System of Matrix Equations

Chang-Zhou Dong and Qing-Wen Wang

Mathematical Problems in Engineering, 2015, vol. 2015, 1-9

Abstract:

Let and be Hermitian and -potent matrices; that is, and where stands for the conjugate transpose of a matrix. A matrix is called -reflexive (antireflexive) if . In this paper, the system of matrix equations and subject to -reflexive and antireflexive constraints is studied by converting into two simpler cases: and We give the solvability conditions and the general solution to this system; in addition, the least squares solution is derived; finally, the associated optimal approximation problem for a given matrix is considered.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:464385

DOI: 10.1155/2015/464385

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