Approximate Gauss-Newton methods for solving underdetermined nonlinear least squares problems

DOI10.1016/j.apnum.2016.08.007zbMath1353.65042OpenAlexW2509251148MaRDI QIDQ338527

Mohammad Hasan, M. Dambrine

Publication date: 7 November 2016

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2016.08.007

zbMATH Keywords

convergencenumerical experimentsLipschitz conditiontrust-region methodapproximate Gauss-Newton methodsunderdetermined nonlinear least squares problems

Mathematics Subject Classification ID

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

Related Items (4)

EXTENDING THE APPLICABILITY OF INEXACT GAUSS-NEWTON METHOD FOR SOLVING UNDERDETERMINED NONLINEAR LEAST SQUARES PROBLEMS ⋮ A Riemannian inexact Newton dogleg method for constructing a symmetric nonnegative matrix with prescribed spectrum ⋮ Modified inexact Levenberg-Marquardt methods for solving nonlinear least squares problems ⋮ A Riemannian under-determined BFGS method for least squares inverse eigenvalue problems

Uses Software

• minpack

Cites Work

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• Inexact Newton Methods
• Numerical Optimization
• Convergence behaviour of inexact Newton methods
• Convergence Properties of the Inexact Levenberg-Marquardt Method under Local Error Bound Conditions
• Approximate Gauss–Newton Methods for Nonlinear Least Squares Problems

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