延拓矩阵半正定因子的扰动界

Perturbation Bounds for Positive Semi-definite Factors of Extended Matrix

母矩阵为A的行延拓矩阵Rk（A）与其扰动矩阵（R）k（A）的半正定因子分别是H与（H）,利用奇异值分解的方法,给出了延拓矩阵Rk（A）在Frobenius范数下半正定因子的扰动界.

The positive semi-definite factors of the extended matrix Rk（A）,whose mother matrix is A,and its perburtation matrix （R~）k（A） are H and H respectively.By means of singular value decomposition,the perturbation bounds for positive semi-definite factors of extended matrix Rk（A） are deduced under Frobenius norm.