On the Newton interior-point method for nonlinear programming problems
type: Item
instance of: scholarly article
title: On the Newton interior-point method for nonlinear programming problems
zbMATH Open document ID: 0960.90093
DOI: 10.1023/A:1004624721836
author: Carla Durazzi
published in: Journal of Optimization Theory and Applications
publication date: 2001-05-10T00:00:00Z
review text: The author generalizes the global Newton interior-point method introduced by (*) \textit{A. S. El-Bakry, R. A. Tapia, T. Tsuchiya}, and \textit{Y. Zhang} [J. Optimization Theory Appl. 89, 507-541 (1996; Zbl 0851.90115)] and establishes a global convergence theory for it, under the same assumptions as those stated in (*). The idea of his generalization consists in interpreting the solution of a perturbed Newton system as a descent direction for a given merit function. Numerical experimentation on discrete optimal control problems are included.
Mathematics Subject Classification ID: 90C51
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 90C30
zbMATH DE Number: 1437155
zbMATH Keywords: interior-point methods
zbMATH Keywords: inexact Newton methods
zbMATH Keywords: global convergence
reviewed by: Francisco Guerra Vazquez
describes a project that uses: LAPACK
MaRDI profile type: Publication
cites work: On the formulation and theory of the Newton interior-point method for nonlinear programming
cites work: Global convergence in infeasible-interior-point algorithms
cites work: Superlinear and quadratic convergence of primal-dual interior-point methods for linear programming revisited
cites work: Globally Convergent Inexact Newton Methods
cites work: Inexact interior-point method
cites work: Q3702408
cites work: Q5652137
cites work: A Tool for the Analysis of Quasi-Newton Methods with Application to Unconstrained Minimization
cites work: Inexact Newton Methods
cites work: Q4003886
cites work: Q3996571
cites work: Q3688092
cites work: Q4016509
cites work: Q5691079
full work available at URL: a:1004624721836
OpenAlex ID: W145565544
description: scientific article; zbMATH DE number 1437155