The classical Sherman-Morrison-Woodbury (for short SMW) formula is generalized to the -inverse case. Some sufficient conditions under which the SMW formula can be represented as are obtained.
"A Generalization of the SMW Formula of Operator to the -Inverse Case." Abstr. Appl. Anal. 2013 1 - 4, 2013. https://doi.org/10.1155/2013/694940