Convergence rate of descent method with new inexact line-search on Riemannian manifolds

DOI10.1007/s10957-018-1390-6zbMath1407.65065OpenAlexW2893613551WikidataQ115382550 ScholiaQ115382550MaRDI QIDQ1730772

Qamrul Hasan Ansari, Jen-Chih Yao, Xiao-bo Li, Nan-Jing Huang

Publication date: 6 March 2019

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-018-1390-6

zbMATH Keywords

Riemannian manifoldsconvergence ratedescent methodnew inexact line-search

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Variational inequalities (49J40) Programming in abstract spaces (90C48) Variational inequalities (global problems) in infinite-dimensional spaces (58E35)

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Tseng's extragradient algorithm for pseudomonotone variational inequalities on Hadamard manifolds ⋮ Convergence of the Gauss-Newton method for convex composite optimization problems under majorant condition on Riemannian manifolds ⋮ An explicit extragradient algorithm for equilibrium problems on Hadamard manifolds ⋮ A nonmonotone trust region method for unconstrained optimization problems on Riemannian manifolds ⋮ Parallel proximal point methods for systems of vector optimization problems on Hadamard manifolds without convexity ⋮ Global convergence of Riemannian line search methods with a Zhang-Hager-type condition ⋮ Levitin-Polyak well-posedness by perturbations for the split hemivariational inequality problem on Hadamard manifolds

Cites Work

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