GENERALIZED SHERMAN-MORRISON-WOODBURY FORMULA FOR THE G-DRAZIN INVERSE

Document Type : Original Manuscript

Authors

1 Department of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran.

2 Farzanegan Campus, Semnan University, Semnan, Iran.

10.22044/jas.2025.14515.1836

Abstract

In this paper, we present generaized Sherman-
Morrison-Woodbury formula for the g-Drazin inverse in a Banach
algebra. New results for the g-Drazin invertibility of a
modified element a -cdb with the generalized Schur complement
dd - badc are given. The g-Drazin invertibility of a operator
matrix with nonsingular generalized Schur complement
under weaker restrictions is thereby established

Keywords

References

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Journal of Algebraic Systems
Volume 14, Issue 3
June 2026
Pages 465-475

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