南京航空航天大学学报（英文版）2000，Vol.17Issue(2)：194-198,5.
一类矩阵反问题的扰动分析
PERTURBATION ANALYSIS OF A CLASS OF MATRIX INVERSE PROBLEMS
摘要
Abstract
A class of matrix inverse problems minimizing‖A-(r)‖F on the linear manifold lA={A∈(X)n×m|‖AX-B‖F =min}is considered. The perturbation analysis of the solution to these problems is carried out. The perturbation upper bounds of the solution are given for both the consistent and inconsistent cases. The obtained preturbation upper bounds are with respect to the distance from the perturbed solution to the unperturbed manifold.关键词
矩阵/反问题/最佳逼近/扰动分析Key words
matrix/inverse problem/best approximation/perturbation analysis分类
数理科学引用本文复制引用
戴华..一类矩阵反问题的扰动分析[J].南京航空航天大学学报（英文版）,2000,17(2):194-198,5.基金项目
Supported by National Natural Secience Foundation of China, Jiangsu Province Natural Science Foundation of China, JiangsuProvince "Qinglan Engineering" Foundation of China and Jiangsu Province "333 Engineering" Foundation of China.国家自然科学基金、江苏省自然科学基金、江苏省"育蓝工程"基金和江苏省"333工程"基金资助项目. （）
