An affine scaling reduced preconditional conjugate gradient path method for linear constrained optimization

DOI10.1016/j.amc.2006.05.151zbMath1122.65056OpenAlexW2063886652MaRDI QIDQ879466

De-Tong Zhu

Publication date: 14 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.151

zbMATH Keywords

algorithmnonlinear optimizationpreconditionerconjugate gradientinterior pointaffine scalinglocal superlinear convergencenonmonotonic interior backtracking line search

Mathematics Subject Classification ID

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

Cites Work

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• 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
• 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
• A preconditioned conjugate gradient approach to linear equality constrained minimization

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