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

Yingtao Duan

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: 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.

Date: 2013
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https://doi.org/10.1155/2013/694940

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:694940

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