子矩阵约束下的Hermite自反矩阵反问题

The Inverse Problem of Hermite Reflexive Matrices with a Submatrix Constraint

讨论了子矩阵约束下矩阵反问题AX=B的Hermite自反矩阵解,给出了解存在的充要条件和通解表达式,且对任一给定矩阵,在解集合中求出了最佳逼近解.

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