双反对称非负定阵的一类特征值反问题

A Class of Inverse Eigenvalue Problem of Anti-bisymmetric Nonnegative Definite Matrices

利用矩阵的奇异值分解讨论了当X,B∈Rn×m时,AX=B存在双反对称非负定解的条件,并给出了通解的表达式.

In this paper, we consider the following problems： given X,B∈R^n×m. find A ∈ ABS0^＋ such that ‖Ax - B‖ = min, where ABS0^＋ is the set of all n × n anti-bisymmetric nonnegative definite matrices. The existence of the solution to the problem is proved and the expression of the solution is presented.