Restricted linear constrained minimization of quadratic functionals

DOI10.1080/03081087.2012.743023zbMath1283.47005arXiv1009.3356OpenAlexW2039764639MaRDI QIDQ2872508

Dimitrios Pappas

Publication date: 15 January 2014

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

Full work available at URL: https://arxiv.org/abs/1009.3356

zbMATH Keywords

constrained optimizationMoore-Penrose inversequadratic functionalleast squares solutionsrestricted optimization

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items (4)

Outer inverse restricted by a linear system ⋮ Unnamed Item ⋮ Minimization of quadratic forms using the Drazin-inverse solution ⋮ Generalized inverse restricted by the normal Drazin equation

Cites Work

• EP matrices: computation of the Moore-Penrose inverse via factorizations
• Symbolic and recursive computation of different types of generalized inverses
• Factorizations of EP operators
• The product of operators with closed range and an extension of the reverse order law
• Nonnegative definite matrices and their applications to matrix quadratic programming problems

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