scientific article; zbMATH DE number 7088303

zbMath1463.47006MaRDI QIDQ5226864

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Publication date: 2 August 2019

Full work available at URL: http://jlta.iauctb.ac.ir/article_665181.html

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zbMATH Keywords

Lagrange multipliersconstrained optimizationMoore-Penrose inverseKKT conditionsduality principlestrong duality principlegeneral normal equation

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Numerical mathematical programming methods (65K05) Convex programming (90C25) 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)

Cites Work

• Minimization of constrained quadratic forms in Hilbert spaces
• Constrained matrix optimization with applications
• Generalized inverses and the Bott-Duffin network analysis
• Restricted linear constrained minimization of quadratic functionals
• Duality in quadratic programming
• Minimization of quadratic forms using the Drazin-inverse solution
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