On the convergence properties of the unmodified PRP method with a non-descent line search

DOI10.1080/10556788.2013.811241zbMath1286.90145OpenAlexW2036870208MaRDI QIDQ5746710

Weijun Zhou, Dong-hui Li

Publication date: 7 February 2014

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

Full work available at URL: https://doi.org/10.1080/10556788.2013.811241

zbMATH Keywords

\(R\)-linear convergencestrongly global convergencenon-descent line searchunmodified PRP method

Mathematics Subject Classification ID

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

Related Items (8)

A modified Broyden family algorithm with global convergence under a weak Wolfe-Powell line search for unconstrained nonconvex problems ⋮ Global convergence of a nonmonotone Broyden family method for nonconvex unconstrained minimization ⋮ A derivative-free conjugate residual method using secant condition for general large-scale nonlinear equations ⋮ The projection technique for two open problems of unconstrained optimization problems ⋮ The PRP conjugate gradient algorithm with a modified WWP line search and its application in the image restoration problems ⋮ A class of line search-type methods for nonsmooth convex regularized minimization ⋮ Globally convergent diagonal Polak-Ribière-Polyak like algorithm for nonlinear equations ⋮ The modified PRP conjugate gradient algorithm under a non-descent line search and its application in the Muskingum model and image restoration problems

Cites Work

• A short note on the global convergence of the unmodified PRP method
• Conjugate gradient methods with Armijo-type line searches.
• A Three-Term Conjugate Gradient Method with Sufficient Descent Property for Unconstrained Optimization
• A descent modified Polak–Ribière–Polyak conjugate gradient method and its global convergence
• Testing Unconstrained Optimization Software
• Global Convergence Properties of Conjugate Gradient Methods for Optimization
• A Two-Term PRP-Based Descent Method
• The conjugate gradient method in extremal problems
• Benchmarking optimization software with performance profiles.

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