A nonmonotone inexact Newton method

DOI10.1080/10556780500139971zbMath1138.65036OpenAlexW1987789634MaRDI QIDQ5717535

Silvia Bonettini

Publication date: 10 January 2006

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10556780500139971

zbMATH Keywords

convergenceinexact Newton methodsnonlinear systemsnumerical examplesnonmonotone convergenceNewton interior-point methods

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Interior-point methods (90C51)

Related Items (8)

Inner solvers for interior point methods for large scale nonlinear programming ⋮ Non-negatively constrained image deblurring with an inexact interior point method ⋮ An efficient nonmonotone method for state-constrained elliptic optimal control problems ⋮ A perturbed version of an inexact generalized Newton method for solving nonsmooth equations ⋮ Inexact quasi-Newton global convergent method for solving constrained nonsmooth equations ⋮ A nonmonotone semismooth inexact Newton method ⋮ A truncated conjugate gradient method with an inexact Gauss-Newton technique for solving nonlinear systems ⋮ Practical implementation of an interior point nonmonotone line search filter method

Cites Work

• Solving elliptic control problems with interior point and SQP methods: Control and state constraints
• On the formulation and theory of the Newton interior-point method for nonlinear programming
• On the Newton interior-point method for nonlinear programming problems
• Inexact Newton Methods
• Globally Convergent Inexact Newton Methods
• A Nonmonotone Line Search Technique for Newton’s Method
• Optimization techniques for solving elliptic control problems with control and state constraints. II: Distributed control
• Unnamed Item

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