Local convergence analysis of the Gauss-Newton method under a majorant condition
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Publication:617661
DOI10.1016/j.jco.2010.09.001zbMath1216.65070arXiv1003.5004OpenAlexW2034829072MaRDI QIDQ617661
Paulo Roberto Oliveira, Max L. N. Gonçalves, Orizon P. Ferreira
Publication date: 21 January 2011
Published in: Journal of Complexity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.5004
Related Items (18)
Local convergence analysis of proximal Gauss-Newton method for penalized nonlinear least squares problems ⋮ Inexact Gauss-Newton like methods for injective-overdetermined systems of equations under a majorant condition ⋮ Local analysis of a spectral correction for the Gauss-Newton model applied to quadratic residual problems ⋮ Local convergence of Newton’s method for solving generalized equations with monotone operator ⋮ Local convergence analysis of Newton's method for solving strongly regular generalized equations ⋮ Performance enhancement of Gauss-Newton trust-region solver for distributed Gauss-Newton optimization method ⋮ Improved local convergence analysis of inexact Gauss-Newton like methods under the majorant condition in Banach spaces ⋮ Convergence of the Gauss-Newton method for convex composite optimization problems under majorant condition on Riemannian manifolds ⋮ Kantorovich's theorem on Newton's method for solving generalized equations under the majorant condition ⋮ Expanding the applicability of the Gauss-Newton method for convex optimization under a majorant condition ⋮ Local convergence analysis of inexact Gauss-Newton method for singular systems of equations under majorant and center-majorant condition ⋮ Local convergence of the Gauss-Newton method for injective-overdetermined systems of equations under a majorant condition ⋮ Kantorovich's Theorem on Newton's Method for Solving Strongly Regular Generalized Equation ⋮ Gauss-Newton methods with approximate projections for solving constrained nonlinear least squares problems ⋮ Convergence of the Gauss–Newton method for a special class of systems of equations under a majorant condition ⋮ Local convergence analysis of inexact Gauss-Newton like methods under majorant condition ⋮ Improved local convergence analysis of the Gauss-Newton method under a majorant condition ⋮ On Newton's method for solving generalized equations
Cites Work
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- Local convergence analysis of inexact Newton-like methods under majorant condition
- Kantorovich's majorants principle for Newton's method
- A unifying local convergence result for Newton's method in Riemannian manifolds
- Convergence behavior of Gauss-Newton's method and extensions of the Smale point estimate theory
- Improved generalized differentiability conditions for Newton-like methods
- General local convergence theory for a class of iterative processes and its applications to Newton's method
- Newton's method for analytic systems of equations with constant rank derivatives
- Convergence and uniqueness properties of Gauss-Newton's method
- The convergence analysis of inexact Gauss-Newton methods for nonlinear problems
- Convergence behaviour of inexact Newton methods under weak Lipschitz condition.
- Convergence of Gauss-Newton's method and uniqueness of the solution
- New general convergence theory for iterative processes and its applications to Newton-Kantorovich type theorems
- Newton's method on Riemannian manifolds and a geometric model for the human spine
- Newton's method on Riemannian manifolds: covariant alpha theory
- Convergence of Newton's method and uniqueness of the solution of equations in Banach space
- Newton's method for overdetermined systems of equations
- Local convergence of Newton's method in Banach space from the viewpoint of the majorant principle
- On the Continuity of the Generalized Inverse
- Perturbation theory for pseudo-inverses
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