Further insight into the Shamanskii modification of Newton method

DOI10.1016/j.amc.2005.11.167zbMath1103.65071OpenAlexW2066840262MaRDI QIDQ850221

Yuan-Yuan Chen, Shou-qiang Du, Chang-Yu Wang

Publication date: 15 November 2006

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

Full work available at URL: https://doi.org/10.1016/j.amc.2005.11.167

zbMATH Keywords

unconstrained optimizationNewton's methodglobal and superlinear convergenceline searchShamanskii method

Mathematics Subject Classification ID

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

Related Items (9)

An improved spectral conjugate gradient algorithm for nonconvex unconstrained optimization problems ⋮ Nonlinear conjugate gradient methods with Wolfe type line search ⋮ A new smoothing nonlinear conjugate gradient method for nonsmooth equations with finitely many maximum functions ⋮ New spectral PRP conjugate gradient method for unconstrained optimization ⋮ Globally convergent modified Perry's conjugate gradient method ⋮ A mixed spectral CD-DY conjugate gradient method ⋮ Global convergence of a modified spectral FR conjugate gradient method ⋮ A sufficient descent nonlinear conjugate gradient method for solving \(\mathcal{M} \)-tensor equations ⋮ Modified three-term conjugate gradient method and its applications

Uses Software

• KELLEY

Cites Work

• Newton-type methods for unconstrained and linearly constrained optimization
• Global convergence technique for the Newton method with periodic Hessian evaluation
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