摘要
研究了如下的D对称非负定矩阵反问题的解:对给定的X,B∈Rn×m,求A∈D-2SRn×n0,使得AX=B.得到了这一问题有解的充分必要条件,并在有解的情况下给出了解的一般表达式和算法例子.
This paper studies the following solutions of inverse problems for D-symmetric nonnegative definite matrices:Given X,B∈R^(n×m), for finding A∈D^(-2)SR^(n×n)_0, such that AX=B.It obtains the necessary and sufficient conditions for the solvability of this problem. The expression and the example of the general solution about this problem are given under case of having solution.
出处
《华中师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2004年第3期280-283,共4页
Journal of Central China Normal University：Natural Sciences
基金
国家自然科学基金委员会数学天元基金资助项目(10226035).
关键词
D对称非负定矩阵
矩阵反问题
矩阵奇异值分解
D-symmetric nonnegative definite matrix
inverse problem for matrix
matrix singular value decomposition
