摘要
讨论了一类实部半正定矩阵反问题 ,得到了此类矩阵反问题有解的充分必要条件及通解的表达式 ;并就这类矩阵的最佳逼近问题进行了讨论 。
The inverse problems for real part positive semidefinite matrixes are discussed. The necessary and sufficient conditions for the solvability for this kind of inverse problems are given. The general form of the solution is provided. And the optimal approximation of this class of matrices are discussed, the existence and uniqueness of the solution of this problem is obtained.
出处
《佳木斯大学学报(自然科学版)》
CAS
2002年第4期399-402,共4页
Journal of Jiamusi University:Natural Science Edition
关键词
实部半正定矩阵
奇异值分解
反问题
最佳逼近
充分必要条件
通解
matrix with positive semidefinite real part
singular value decomposition
inverse problem
optimal approximation