Generalized inverse restricted by the normal Drazin equation

DOI10.1080/03081087.2014.908873zbMath1315.15003OpenAlexW2049390841MaRDI QIDQ5175368

Dimitrios Pappas, Predrag S. Stanimirović, Vasilios N. Katsikis

Publication date: 20 February 2015

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2014.908873

zbMATH Keywords

quadratic programmingconstrained optimizationDrazin inverseMoore-Penrose inversequadratic functionalouter inversesymmetric positive semi-definite matrix

Mathematics Subject Classification ID

Quadratic programming (90C20) Theory of matrix inversion and generalized inverses (15A09)

Uses Software

• mctoolbox

Cites Work

• Minimization of constrained quadratic forms in Hilbert spaces
• On \(\mathbf V\)-orthogonal projectors associated with a semi-norm
• Minimal properties of Moore-Penrose inverses
• The representation and approximation for the generalized inverse \(A^{(2)}_{T,S}\)
• A class of outer generalized inverses
• Restricted linear constrained minimization of quadratic functionals
• The restricted weighted generalized inverse of a matrix
• The restricted generalized inverses corresponding to constrained quadratic system^∗
• Minimization of quadratic forms using the Drazin-inverse solution

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