Weighted quaternion core-EP, DMP, MPD, and CMP inverses and their determinantal representations

DOI10.1007/s13398-020-00930-3zbMath1451.15005OpenAlexW3083688662MaRDI QIDQ2006215

Ivan I. Kyrchei

Publication date: 8 October 2020

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-020-00930-3

zbMATH Keywords

generalized inverseMoore-Penrose inversequaternion matrixnoncommutative determinantweighted Drazin inverse

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) Applications of generalized inverses (15A10)

Related Items

Outer-star and star-outer matrices, Representations and properties for the MPCEP inverse, Representations of quaternion W-MPCEP, W-CEPMP and W-MPCEPMP inverses, Generalizations of composite inverses with certain image and/or kernel, The CEPGD-inverse for square matrices, Weighted generalized Moore-Penrose inverse, Core–EP Star and Star Core–EP Operators, 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, Generalized core-EP inverse for square matrices, EP-quasinilpotent decomposition and its generalizations, MPD-DMP-solutions to quaternion two-sided restricted matrix equations, Weighted composite outer inverses, Expressions and properties of weak core inverse, Weighted minimization problems for quaternion matrices

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