摘要
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.
关键词
双反对称非负定阵
矩阵范数
逆特征值问题
Anti- bisymmetric nonnegative definite matrices
matrix norm
inverse eigenvalue problem