Kantorovich's type theorems for systems of equations with constant rank derivatives

DOI10.1016/j.cam.2007.07.006zbMath1156.65048OpenAlexW2014300164WikidataQ126219985 ScholiaQ126219985MaRDI QIDQ935772

Nuchun Hu, Chong Li, Wei-Ping Shen

Publication date: 8 August 2008

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

Full work available at URL: https://doi.org/10.1016/j.cam.2007.07.006

zbMATH Keywords

nonlinear systemsnumerical examplessemilocal convergencelocal convergenceLipschitz conditionGauss-Newton methodmajorizing sequence

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

Related Items (7)

Approximate Gauss-Newton methods for solving underdetermined nonlinear least squares problems ⋮ On the Gauss-Newton method ⋮ Extending the applicability of the Gauss-Newton method under average Lipschitz-type conditions ⋮ Convergence criterion of Newton's method for singular systems with constant rank derivatives ⋮ On the solution of systems of equations with constant rank derivatives ⋮ Convergence behavior of Gauss-Newton's method and extensions of the Smale point estimate theory ⋮ Convergence of the Gauss–Newton method for a special class of systems of equations under a majorant condition

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