Local convergence of Newton's method on Lie groups and uniqueness balls

DOI10.1155/2013/367161zbMath1307.65079OpenAlexW2065539681WikidataQ58916053 ScholiaQ58916053MaRDI QIDQ2015408

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

Publication date: 23 June 2014

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/367161

zbMATH Keywords

convergenceLie algebraLie groupexponential mappingnonlinear equationNewton methodKantorovich condition

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Numerical solutions to equations with nonlinear operators (65J15) Implicit function theorems; global Newton methods on manifolds (58C15)

Related Items

Third-order Newton-type methods combined with vector extrapolation for solving nonlinear systems

Cites Work

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