Determinantal representations of the quaternion core inverse and its generalizations

DOI10.1007/s00006-019-1024-6zbMath1436.15004OpenAlexW2982075377WikidataQ126975872 ScholiaQ126975872MaRDI QIDQ2010554

Ivan I. Kyrchei

Publication date: 27 November 2019

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-019-1024-6

zbMATH Keywords

Drazin inversegeneralized inverseMoore-Penrose inversequaternion matrixcore inversecore-EP inversenoncommutative determinant

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24)

Related Items

Outer-star and star-outer matrices ⋮ Representations and properties for the MPCEP inverse ⋮ Extensions of generalized core-EP inverse ⋮ Representations of quaternion W-MPCEP, W-CEPMP and W-MPCEPMP inverses ⋮ Application of \(m\)-weak group inverse in solving optimization problems ⋮ Quaternion Two-Sided Matrix Equations with Specific Constraints ⋮ \(W\)-MPD-\(N\)-DMP-solutions of constrained quaternion matrix equations ⋮ W-MPCEP-N-CEPMP-solutions to quaternion matrix equations with constrains ⋮ Solvability of new constrained quaternion matrix approximation problems based on core-EP inverses ⋮ Sign pattern, usability, representations and perturbation for the core-EP and weighted core-EP inverse ⋮ MPD-DMP-solutions to quaternion two-sided restricted matrix equations ⋮ Weighted quaternion core-EP, DMP, MPD, and CMP inverses and their determinantal representations ⋮ A quaternion matrix equation with two different restrictions ⋮ Weighted minimization problems for quaternion matrices ⋮ The core inverse and constrained matrix approximation problem ⋮ Determinantal representations of the weighted core-EP, DMP, MPD, and CMP inverses ⋮ MPCEP-\(*\)CEPMP-solutions of some restricted quaternion matrix equations

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