This paper considers the bisymmetric matrices solutions of matrix equations for under a central principal submatrix constraint. By the basis {\rm vec}tors of subspace, the constraint problem is transformed into a unconstraint problem, and necessary and sufficient conditions for the solvability and the general expression of the solutions are obtained. Moreover, we also obtain the expression of the solution to the related optimal approximation problem.
ZHOU Shuo
, WANG Lin. , {{custom_author.name_en}}.
INVERSE PROBLEM OF BISYMMETRIC MATRICES SOLUTIONS WITH A CENTER PRINCIPAL SUBMATRIX CONSTRAINT AND ITS OPTIMAL APPROXIMATION. Journal of Systems Science and Mathematical Sciences, 2014, 34(8): 985-991 https://doi.org/10.12341/jssms12393