Application of the Armijo stepsize rule to the solution of a nonlinear system of equalities and inequalities

DOI10.1007/BF00935360zbMath0501.65027OpenAlexW1973690260MaRDI QIDQ1172370

Ubaldo M. García-Palomares, Alvaro Restuccia

Publication date: 1983

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00935360

zbMATH Keywords

penalty functionsArmijo stepsize rulequadratically convergent algorithmminimax functionsnonlinear system of equalities and inequalities

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30)

Related Items (7)

Descent methods for composite nondifferentiable optimization problems ⋮ Parallel and sequential Kaczmarz methods for solving underdetermined nonlinear equations ⋮ An accelerated successive orthogonal projections method for solving large-scale linear feasibility problems ⋮ Iteration functions in some nonsmooth optimization algorithms ⋮ An algorithm for finding a solution to the inclusion 0\(\in F(x)\) ⋮ A filter algorithm for nonlinear systems of equalities and inequalities ⋮ Analysis and implementation of a dual algorithm for constrained optimization

Cites Work

• Unnamed Item
• Newton's method for the solution of systems of equalities and inequalities
• Exact penalty functions in nonlinear programming
• A global quadratic algorithm for solving a system of mixed equalities and inequalities
• Necessary and sufficient conditions for a penalty method to be exact
• A necessary and sufficient regularity condition to have bounded multipliers in nonconvex programming
• A Characterization of Stability in Linear Programming

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