A projective quasi-Newton method for nonlinear optimization

DOI10.1016/0377-0427(94)90058-2zbMath0828.65066OpenAlexW2029193246MaRDI QIDQ1344341

De-Tong Zhu, Zhang, Jianzhong

Publication date: 9 February 1995

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

Full work available at URL: https://doi.org/10.1016/0377-0427(94)90058-2

zbMATH Keywords

nonlinear optimizationsuperlinear convergencetrust region methodKarush-Kuhn-Tucker pointsOR decompositionsprojective quasi-Newton method

Mathematics Subject Classification ID

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

Related Items (10)

An affine scaling interior point backtracking algorithm for nonlinear constrained optimisation ⋮ A trust-region algorithm combining line search filter technique for nonlinear constrained optimization ⋮ A filter secant method with nonmonotone line search for equality constrained optimization ⋮ A dwindling filter line search algorithm for nonlinear equality constrained optimization ⋮ An inexact secant algorithm for large scale nonlinear systems of equalities and inequalities ⋮ An affine scaling projective reduced Hessian algorithm for minimum optimization with nonlinear equality and linear inequality constraints ⋮ Global and local convergence of a nonmonotone trust region algorithm for equality constrained optimization ⋮ An interior affine scaling projective algorithm for nonlinear equality and linear inequality constrained optimization ⋮ A family of improved secant methods via nonmonotone curvilinear paths technique for equality constrained optimization ⋮ Convergence properties of improved secant methods with region multiplier

Cites Work

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• A trust region algorithm for equality constrained optimization
• Local Convergence of Secant Methods for Nonlinear Constrained Optimization
• Projected Hessian Updating Algorithms for Nonlinearly Constrained Optimization
• Continuity of the null space basis and constrained optimization
• A Trust Region Algorithm for Nonlinearly Constrained Optimization
• A trust region typed dogleg method for nonlinear optimization^*

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