Adjoint Mappings and Inverses of Matrices

DOI10.1142/S1005386706000368zbMath1103.15003MaRDI QIDQ5483337

Miroslav Ćirić, Predrag S. Stanimirović, Stojan Bogdanović

Publication date: 14 August 2006

Published in: Algebra Colloquium (Search for Journal in Brave)

zbMATH Keywords

Drazin inversedeterminantal representationadjoint mapping\(\{2\}\)-inverses

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15)

Related Items

Quaternion Two-Sided Matrix Equations with Specific Constraints ⋮ W-MPCEP-N-CEPMP-solutions to quaternion matrix equations with constrains ⋮ Conditions for existence, representations, and computation of matrix generalized inverses ⋮ MPD-DMP-solutions to quaternion two-sided restricted matrix equations ⋮ Full-rank representations of \(\{2, 4\}, \{2, 3\}\)-inverses and successive matrix squaring algorithm ⋮ Successive matrix squaring algorithm for computing outer inverses ⋮ An efficient class of iterative methods for computing generalized outer inverse \({M_{T,S}^{(2)}}\)

Cites Work

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• Generalized inverses over integral domains. II: Group inverses and Drazin inverses
• Generalized inverses over integral domains
• Report on test matrices for generalized inverses
• The generalized Moore-Penrose inverse
• The image of the adjoint mapping
• The Moore idempotents of a matrix
• Generalized inverses with proportional minors
• Full-rank and determinantal representation of the Drazin inverse
• The determinal rank idempotents of a matrix
• Reflexive generalized inverses and their minors^*

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