A Generalization of the SMW Formula of OperatorA+YGZ*to the{2}-Inverse Case-Reference-Cited by-同舟云学术

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A Generalization of the SMW Formula of OperatorA+YGZ*to the{2}-Inverse Case

Published:2013 Issue: Volume:2013 Page:1-4
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Duan Yingtao¹

Affiliation:

1. College of Mathematics and Computation Science, Zhanjiang Normal University, Zhanjiang 524048, China

Abstract

The classical Sherman-Morrison-Woodbury (for short SMW) formulaA+YGZ*-1=A-1-A-1YG-1+Z*A-1Y-1Z*A-1is generalized to the{2}-inverse case. Some sufficient conditions under which the SMW formula can be represented asA+YGZ*-=A--A-YG-+Z*A-Y-Z*A-are obtained.

Funder

Natural Science Foundation of Zhanjiang Normal University

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/694940.pdf

Reference11 articles.

1. An Inverse Matrix Adjustment Arising in Discriminant Analysis

2. A generalization of the Sherman–Morrison–Woodbury formula

3. Updating the Inverse of a Matrix

4. Closedness of ranges of upper-triangular operators

5. Adjustment of an Inverse Matrix Corresponding to a Change in One Element of a Given Matrix

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The Sherman-Morrison-Woodbury formula for the generalized inverses;Filomat;2022

2. Computing {2,4} and {2,3}-inverses by using the Sherman–Morrison formula;Applied Mathematics and Computation;2016-01

3. Extension of the GSMW Formula in Weaker Assumptions;Abstract and Applied Analysis;2014

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