行延拓矩阵的矩阵方程组的最佳逼近解  

The Optimal Approximation Solution to the Matrix Equations of Line Extened Marix

作　　者：吴强[1] 

机构地区：[1]茂名职业技术学院基础部,广东茂名525000

出　　处：《科技通报》2012年第2期13-14,17,共3页Bulletin of Science and Technology

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.

关 键 词：行延拓矩阵 矩阵方程组 奇异值分解 最佳逼近 

分 类 号：O151.21[理学—数学]