Convergence analysis of a nonlinear Lagrangian algorithm for nonlinear programming with inequality constraints

DOI10.1007/BF02936070zbMath1044.90079OpenAlexW1976652812MaRDI QIDQ1429323

Yong-Jin Liu, Li-wei Zhang

Publication date: 18 May 2004

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

Full work available at URL: https://doi.org/10.1007/bf02936070

zbMATH Keywords

nonlinear programmingnonlinear Lagrangian algorithmnonlinear Lagrangian function

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Nonlinear programming (90C30)

Related Items (7)

δ-mapping algorithm and its application in traffic flow problems with inhomogeneities ⋮ Analysis of a smoothing method for symmetric conic linear programming ⋮ Properties of the augmented Lagrangian in nonlinear semidefinite optimization ⋮ A CLASS OF NONLINEAR LAGRANGIANS: THEORY AND ALGORITHM ⋮ Sub-quadratic convergence of a smoothing Newton method for second-order cone programming ⋮ Analysis of a non-interior continuation method for second-order cone programming ⋮ Optimization model and algorithm of the trajectory of horizontal well with perturbation

Cites Work

• Modified barrier functions (theory and methods)
• Superlinear and quadratic convergence of some primal - dual interior point methods for constrained optimization
• On the formulation and theory of the Newton interior-point method for nonlinear programming
• Q-SUPERLINEAR CONVERGENCE OF PRIMAL-DUAL INTERIOR POINT QUASI-NEWTON METHODS FOR CONSTRAINED OPTIMIZATION
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