Improved Newton iteration for nonlinear matrix equations on quadratic Lie groups

DOI10.1016/j.amc.2006.05.089zbMath1107.65319OpenAlexW2076497296WikidataQ115361890 ScholiaQ115361890MaRDI QIDQ864793

Zi-Chen Deng, Su-ying Zhang, Wen-cheng Li

Publication date: 13 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.089

zbMATH Keywords

algorithmconvergencenumerical examplesLie algebraLie groupNewton iterationnonlinear matrix equations

Mathematics Subject Classification ID

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

Related Items (1)

Third-order methods on Riemannian manifolds under Kantorovich conditions

Cites Work

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• Numerical solution of isospectral flows
• A variant of Newton's method with accelerated third-order convergence
• Adjoint and selfadjoint Lie-group methods

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