A global quadratic algorithm for solving a system of mixed equalities and inequalities

DOI10.1007/BF01584250zbMath0467.90054OpenAlexW1972214522MaRDI QIDQ3920999

Ubaldo M. García-Palomares, Alvaro Restuccia

Publication date: 1981

Published in: Mathematical Programming (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01584250

zbMATH Keywords

nonlinear equationsnonlinear inequalitiescontinuously differentiable objective functionsuperlinear rate of convergencesequence of linear programsglobal quadratic algorithm

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Quadratic programming (90C20) Numerical computation of solutions to systems of equations (65H10)

Related Items (12)

Descent methods for composite nondifferentiable optimization problems ⋮ Iteration functions in some nonsmooth optimization algorithms ⋮ A Gauss-Newton method for convex composite optimization ⋮ Pseudotransient continuation for solving systems of nonsmooth equations with inequality constraints ⋮ An algorithm for finding a solution to the inclusion 0\(\in F(x)\) ⋮ A filter algorithm for nonlinear systems of equalities and inequalities ⋮ Application of the Armijo stepsize rule to the solution of a nonlinear system of equalities and inequalities ⋮ Explicit gradient information in multiobjective optimization ⋮ Trust-region quadratic methods for nonlinear systems of mixed equalities and inequalities ⋮ A superlinearly convergent projection algorithm for solving the convex inequality problem ⋮ An efficient algorithm for solving inequalities ⋮ On the solution of nonlinear inequalities in a finite number of iterations

Cites Work

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• Solving nonlinear inequalities in a finite number of iterations
• Newton's method for the solution of systems of equalities and inequalities
• Extension of Newton's method to nonlinear functions with values in a cone
• A necessary and sufficient regularity condition to have bounded multipliers in nonconvex programming
• Gradient methods for solving equations and inequalities

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