2024/105/1-2 (7)
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DOI: 10.5486/PMD.2024.9713
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pp. 107-117
The group invertibility of a matrix with nonsingular generalized Schur complement
Authors:
Huanyin Chen 
and Marjan Sheibani
Abstract:
We present the group invertibility of a complex matrix under new perturbed conditions. The group invertibility for a block matrix with nonsingular generalized Schur complement is thereby obtained.
Keywords: group invertibility, Drazin invertibility, Sherman—Morrison—Woodbury formula, generalized Schur complement
Mathematics Subject Classification: 16E50, 15A09