The core inverse and constrained matrix approximation problem

DOI10.1515/math-2020-0178zbMath1478.15009arXiv1908.11077OpenAlexW3043849604MaRDI QIDQ2053404

Yanyan Li

Publication date: 29 November 2021

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.11077

zbMATH Keywords

Cramer's rulecore inverseconstrained matrix approximation problem

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Iterative numerical methods for linear systems (65F10) Linear equations (linear algebraic aspects) (15A06) Applications of generalized inverses (15A10)

Related Items

The Core-EP, Weighted Core-EP Inverse of Matrices and Constrained Systems of Linear Equations ⋮ Further results on strongly core orthogonal matrix ⋮ Application of \(m\)-weak group inverse in solving optimization problems ⋮ Quaternion Two-Sided Matrix Equations with Specific Constraints ⋮ The full rank expressions for the \(W\)-weighted Drazin and core-EP inverse of a matrix and their applications ⋮ Solvability of new constrained quaternion matrix approximation problems based on core-EP inverses ⋮ Solvability of some constrained matrix approximation problems using core-EP inverses ⋮ 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

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