An affine scaling optimal path method with interior backtracking curvilinear technique for linear constrained optimization

DOI10.1016/J.AMC.2008.10.023zbMath1160.65030OpenAlexW2032844940MaRDI QIDQ1004230

Yun-Juan Wang, De-Tong Zhu

Publication date: 2 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.10.023

zbMATH Keywords

convergencenumerical experimentsnonlinear optimizationlinear constraintsoptimal pathbacktrackinginterior pointaffine scalingnonmonotonic technique

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Interior-point methods (90C51)

Related Items (2)

A curvilinear method based on minimal-memory BFGS updates ⋮ Generalized affine scaling algorithms for linear programming problems

Uses Software

• GQTPAR

Cites Work

• Unnamed Item
• More test examples for nonlinear programming codes
• Test examples for nonlinear programming codes
• A new affine scaling interior point algorithm for nonlinear optimization subject to linear equality and inequality constraints.
• A trust region and affine scaling interior point method for nonconvex minimization with linear inequality constraints
• Computing a Trust Region Step
• Newton’s Method with a Model Trust Region Modification
• Numerical Optimization
• A Trust Region Interior Point Algorithm for Linearly Constrained Optimization
• A Nonmonotone Line Search Technique for Newton’s Method
• Curvilinear path and trust region in unconstrained optimization: A convergence analysis
• An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds

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