Norm estimations for the Moore-Penrose inverse of multiplicative perturbations of matrices

作者：Hu, Na; Luo, Wei; Song, Chuanning; Xu, Qingxiang^*

来源：Journal of Mathematical Analysis and Applications, 2016, 437(1): 498-512.

DOI：10.1016/j.jmaa.2016.01.020

• Moore-Penrose inverse
• Multiplicative perturbation
• Norm upper bound

Let B be a multiplicative perturbation of A E Cm" given by B = DIAD2, where D-1 is an element of C-mxm and D-2 is an element of C-nxn are both nonsingular. New norm upper bounds for parallel to B-t - A(t)parallel to(F) and parallel to B-t - A(t)parallel to(2) are derived, where A(t) and B-t are the Moore Penrose inverses of A and B, respectively. The main results of Meng and Zheng (2015) [10] are improved in the cases of the Frobenius norm and the spectral norm.

• 出版日期2016-5-1
• 单位上海师范大学