Analytical solutions to the optimization of a quadratic cost function subject to linear and quadratic equality constraints

DOI10.1007/BF01182622zbMath0911.90270MaRDI QIDQ1921395

Y. H. Leung, Antonio Cantoni, Ian Li-Jin Thng

Publication date: 28 October 1996

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

zbMATH Keywords

resultantsmultivariate polynomialsbroad-band antenna array signal processinglarge optimization spacequadratic equality constrained quadratic cost minimization

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Large-scale problems in mathematical programming (90C06) Applications of mathematical programming (90C90) Nonconvex programming, global optimization (90C26) Nonlinear programming (90C30) Quadratic programming (90C20)

Related Items (7)

A generalized multivariable Newton method ⋮ Optimality conditions and optimization methods for quartic polynomial optimization ⋮ On global integer extrema of real-valued box-constrained multivariate quadratic functions ⋮ Solving optimization problems on ranks and inertias of some constrained nonlinear matrix functions via an algebraic linearization method ⋮ Steklov convexification and a trajectory method for global optimization of multivariate quartic polynomials ⋮ Numerical optimization for feedback stabilization of linear systems with distributed delays ⋮ Extrema of a real polynomial

Cites Work

• Generalised characteristic polynomials
• Constrained global optimization: algorithms and applications
• On the computational complexity and geometry of the first-order theory of the reals. I: Introduction. Preliminaries. The geometry of semi-algebraic sets. The decision problem for the existential theory of the reals
• On the computational complexity and geometry of the first-order theory of the reals. II: The general decision problem. Preliminaries for quantifier elimination
• On the Computational Complexity of Approximating Solutions for Real Algebraic Formulae
• Derivative constrained optimum broad-band antenna arrays
• A Simplex Method for Function Minimization
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