Quadratically constrained quadratic programming: Some applications and a method for solution

DOI10.1007/BF01917102zbMath0479.90065MaRDI QIDQ3938843

E. Phan-Huy-Hao

Publication date: 1982

Published in: Zeitschrift für Operations Research (Search for Journal in Brave)

zbMATH Keywords

numerical resultsquadratic formsoptimal solutionfeasibilitypositive semi-definite matricessolution methodquadratic constraintscompact nonempty polyhedron

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Quadratic programming (90C20)

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Cites Work

• The computation of fixed points and applications
• Komplementaritäts- und Fixpunktalgorithmen in der mathematischen Programmierung, Spieltheorie und Ökonomie
• A Dual Method for Quadratic Programs with Quadratic Constraints
• On the Convergence of Some Feasible Direction Algorithms for Nonlinear Programming
• Quadratic programming with quadratic constraints
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