摘要
主要讨论行延拓矩阵的线性约束矩阵方程组的最佳逼近;介绍了延拓矩阵的概念;利用矩阵奇异值分解得到了行延拓矩阵的线性约束矩阵方程组有解的充要条件、通解表达式;最后讨论了相应问题的最佳逼近解的表达式。
The essay mainly discusses the optimal approximation solution to the linear constrainted matrix equation ot the extended matrix and introduces the definition of the extended matrix. By using of the singular value decomposition of the extended matrix, the necessary and sufficient condition for the solvability of linear constrainted matrix equation of the line extended matrix is derived, and the general solution expression is given. Finally, its expression of the optimal approximation solution is discussed.
出处
《科技通报》
北大核心
2012年第2期13-14,17,共3页
Bulletin of Science and Technology
关键词
行延拓矩阵
矩阵方程组
奇异值分解
最佳逼近
line extended matrix
matrix equation
singular value decomposition
optimal approximation
