Solvability of some constrained matrix approximation problems using core-EP inverses

DOI10.1007/s40314-020-01360-yzbMath1476.15006OpenAlexW3095978713MaRDI QIDQ1983815

Dijana Mosić, Vasilios N. Katsikis, Predrag S. Stanimirović

Publication date: 10 September 2021

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-020-01360-y

zbMATH Keywords

Cramer's rulecore-EP inverse\(W\)-weighted core-EP inverseconstrained matrix approximation problem

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items

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 ⋮ Existence and Representations of Solutions to Some Constrained Systems of Matrix Equations ⋮ The full rank expressions for the \(W\)-weighted Drazin and core-EP inverse of a matrix and their applications ⋮ Sign pattern, usability, representations and perturbation for the core-EP and weighted core-EP inverse ⋮ Characterizations and perturbation analysis of a class of matrices related to core-EP inverses ⋮ Weighted minimization problems for quaternion matrices ⋮ The \(\mathfrak{m}\)-core-EP inverse in Minkowski space

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