The group inverse of \(2 \times 2\) matrices over a ring

DOI10.1016/j.laa.2012.12.037zbMath1277.15003OpenAlexW1978019154MaRDI QIDQ1947120

Yanyan Li

Publication date: 12 April 2013

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2012.12.037

zbMATH Keywords

group inversevon Neumann regularitymatrix over a ring\(\{1,2\}\)-inverse

Mathematics Subject Classification ID

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

Related Items (7)

Representations for the group inverse of anti-triangular block operator matrices ⋮ The core inverse of a product and \(2\times 2\) matrices ⋮ Representations for the Drazin inverse of an anti-triangular block operator matrix E with ind(E) ≤ 2 ⋮ A note on the group inverses of block matrices over rings ⋮ Group inverses for some \(2 \times 2\) block matrices over rings ⋮ Group invertible block matrices ⋮ General exact solutions of certain second-order homogeneous algebraic differential equations

Cites Work

• The \((2,2,0)\) group inverse problem
• Group inverse for the block matrices with an invertible subblock
• Block generalized inverses
• Generalized inverses. Theory and applications.
• Some results on the group inverse for block matrices over skew fields
• The group inverse of a companion matrix
• About the von Neumann regularity of triangular block matrices

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