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

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

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Bibliographic Details
Main Author: Yingtao Duan
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/694940
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