Perturbation lemma for the Newton method with application to the SQP Newton method

DOI10.1023/A:1022622532499zbMath0907.90217OpenAlexW172672465WikidataQ124831088 ScholiaQ124831088MaRDI QIDQ1265001

Richard A. Tapia, Debora Cores

Publication date: 11 February 1999

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

Full work available at URL: https://doi.org/10.1023/a:1022622532499

zbMATH Keywords

Newton's methodquadratic convergencepenalty parametersuccessive quadratic programmingaugmented LagrangianLagrange multiplier estimate

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Quadratic programming (90C20) Numerical computation of solutions to systems of equations (65H10)

Related Items (2)

A perturbed version of an inexact generalized Newton method for solving nonsmooth equations ⋮ Inexact perturbed Newton methods and applications to a class of Krylov solvers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Diagonalized multiplier methods and quasi-Newton methods for constrained optimization
• On the method of multipliers for mathematical programming problems
• On the Local Convergence of Quasi-Newton Methods for Constrained Optimization
• Newton’s Method for Optimization Problems with Equality Constraints
• A new method for the optimization of a nonlinear function subject to nonlinear constraints
• Newton’s Method for Problems with Equality Constraints

This page was built for publication: Perturbation lemma for the Newton method with application to the SQP Newton method