报告题目：

Acute perturbation bounds of generalized inverse

报 告 人：

马海凤 教授（哈尔滨师范大学）

报告时间：

2018年09月08日 10:30--11:30

报告地点：

数学院二楼报告厅

报告摘要：

It is well known that the upper bounds of the weighted Moore–Penroseinverseplay a fundamental role in the perturbation analysis for the weighted linear least squares problem. In this talk, we provide a sharp estimation. Thus norm estimations for the weighted Moore–Penrose inverses of theacute perturbations can be improved uniformly. Let be the set of bounded linear operators on aBanach space , and a liner operator be Drazin invertible. and arethe spectral projectors of and respectively. Some new formulas for spectral radius of is generalized to the Banach space.