ON THE GROUP INVERSE FOR THE SUM OF MATRICES

DOI10.1017/S144678871300061XzbMath1296.15004OpenAlexW2129261012MaRDI QIDQ5408743

Changjiang Bu, Liang Ma, Xiuqing Zhou, Jiang Zhou

Publication date: 11 April 2014

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s144678871300061x

zbMATH Keywords

group inverseskew fieldgroup invertibility

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33)

Cites Work

• Unnamed Item
• New additive results on Drazin inverse and its applications
• Further results on the group inverses and Drazin inverses of anti-triangular block matrices
• Representations for the Drazin inverses of the sum of two matrices and some block matrices
• A note on the group inverse of some \(2 \times 2\) block matrices over skew fields
• The Drazin inverse of the sum of two matrices and its applications
• Group inverse for the block matrices with an invertible subblock
• Group inverse for a class \(2\times 2\) block matrices over skew fields
• The Drazin invertibility of the difference and the sum of two idempotent operators
• Group inverse for block matrices and some related sign analysis
• Some results on the group inverse of the block matrix with a sub-block of linear combination or product combination of matrices over skew fields
• Nonsingularity and group invertibility of linear combinations of twok-potent matrices
• Additive results for the group inverse in an algebra with applications to block operators
• Group inverses for matrices over a Bezout domain
• Some additive results on Drazin inverse

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