Outer inverses of matrices

DOI10.1016/S0024-3795(01)00583-3zbMath0998.15009MaRDI QIDQ1601634

Donald W. Robinson

Publication date: 27 June 2002

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

zbMATH Keywords

generalized inversesMoore-Penrose inverseouter inversecommutative ringregular matrixinner inversedeterminantal representationsadjoint mapping

Mathematics Subject Classification ID

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

Related Items

Matrices having nonzero outer inverses ⋮ A note on the perturbation of an outer inverse ⋮ The classical adjoint

Cites Work

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• Generalized inverses over integral domains
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• The image of the adjoint mapping
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• Generalized inverses with proportional minors
• Generalized inverses of matrices over commutative rings
• On generalized inverses of matrices over integral domains
• The determinal rank idempotents of a matrix
• Three results in connection with inverse matrices
• Reflexive generalized inverses and their minors^*
• Das verallgemeinerte Inverse einer Matrix, deren Elemente einem beliebigen Körper angehören.