Convergence criteria of Newton's method on Lie groups

DOI10.1186/1687-1812-2013-293zbMath1297.65061OpenAlexW2123421520WikidataQ59301991 ScholiaQ59301991MaRDI QIDQ401833

Jen-Chih Yao, Jinsu He, Jin-Hua Wang

Publication date: 27 August 2014

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-293

zbMATH Keywords

convergenceNewton's methodLie algebraLie groupKantorovich condition\(L\)-average Lipschitz condition

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Analysis on real and complex Lie groups (22E30) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

Local convergence of the Newton’s method in two step nilpotent Lie groups ⋮ Chebyshev-Halley's method on Riemannian manifolds ⋮ Local convergence of Newton's method on Lie groups and uniqueness balls ⋮ An Inexact Semismooth Newton Method on Riemannian Manifolds with Application to Duality-Based Total Variation Denoising

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