Newton's method on Lie groups

DOI10.1007/S12190-008-0203-8zbMath1182.65080OpenAlexW2090055873WikidataQ115377241 ScholiaQ115377241MaRDI QIDQ1034964

Ioannis K. Argyros

Publication date: 9 November 2009

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

Full work available at URL: https://doi.org/10.1007/s12190-008-0203-8

zbMATH Keywords

error estimatesabelian groupsNewton-Kantorovich methodradius of convergenceLipschitz conditionsmajoring sequenceslocal/semilocal convergence theoremsnonlinear equations on Lie groups

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15) Implicit function theorems; global Newton methods on manifolds (58C15) Analysis on and representations of infinite-dimensional Lie groups (22E66)

Related Items (4)

Chebyshev-Halley's method on Riemannian manifolds ⋮ ON THE SEMILOCAL CONVERGENCE OF NEWTON'S METHOD FOR SECTIONS ON RIEMANNIAN MANIFOLDS ⋮ Extending the applicability of Newton's method on Lie groups ⋮ EXTENDING THE APPLICABILITY OF NEWTON'S METHOD ON RIEMANNIAN MANIFOLDS WITH VALUES IN A CONE

Cites Work

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• On a class of Newton-like methods for solving nonlinear equations
• The Newton iteration on Lie groups
• Kantorovich's theorem on Newton's method in Riemannian manifolds
• A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space
• Computational theory of iterative methods.
• Kantorovich's theorem for Newton's method on Lie groups
• Accessibility Of Solutions By Newton's Method

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