Convergence behavior of Gauss-Newton's method and extensions of the Smale point estimate theory
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Publication:983184
DOI10.1016/j.jco.2010.02.001zbMath1192.65057OpenAlexW2093743237MaRDI QIDQ983184
Chong Li, Nuchun Hu, Jin-Hua Wang
Publication date: 3 August 2010
Published in: Journal of Complexity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jco.2010.02.001
Related Items (19)
Local convergence analysis of proximal Gauss-Newton method for penalized nonlinear least squares problems ⋮ On iterative computation of fixed points and optimization ⋮ Extended Newton methods for conic inequalities: approximate solutions and the extended Smale \(\alpha\)-theory ⋮ Extending the applicability of Gauss-Newton method for convex composite optimization on Riemannian manifolds ⋮ On semilocal convergence analysis for two-step Newton method under generalized Lipschitz conditions in Banach spaces ⋮ Approximate Gauss-Newton methods for solving underdetermined nonlinear least squares problems ⋮ Convergence analysis of a proximal Gauss-Newton method ⋮ Local convergence analysis of the Gauss-Newton method under a majorant condition ⋮ Extending the applicability of the Gauss-Newton method under average Lipschitz-type conditions ⋮ Local convergence analysis of inexact Gauss-Newton method for singular systems of equations under majorant and center-majorant condition ⋮ On the solution of systems of equations with constant rank derivatives ⋮ Modified inexact Levenberg-Marquardt methods for solving nonlinear least squares problems ⋮ Improved local convergence analysis of inexact Newton-like methods under the majorant condition ⋮ 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 ⋮ Convergence behavior for Newton-Steffensen's method under \(\gamma\)-condition of second derivative ⋮ Improved local convergence analysis of the Gauss-Newton method under a majorant condition ⋮ A short survey on Kantorovich
Cites Work
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- A new semilocal convergence theorem for Newton's method
- On dominating sequence method in the point estimate and Smale's theorem
- Convergence criterion of Newton's method for singular systems with constant rank derivatives
- Kantorovich's type theorems for systems of equations with constant rank derivatives
- A Kantorovich-type convergence analysis for the Gauss-Newton-method
- Convergence of Newton's method and uniqueness of the solution of equations in Banach spaces. II
- Newton's method for analytic systems of equations with constant rank derivatives
- Convergence and uniqueness properties of Gauss-Newton's method
- On an application of Newton's method to nonlinear operators with \(\omega\)-conditioned second derivative
- On the Newton-Kantorovich hypothesis for solving equations
- The theory of Smale's point estimation and its applications
- A note on a modification of Moser's method
- Majorizing Functions and Convergence of the Gauss–Newton Method for Convex Composite Optimization
- Affine Invariant Convergence Theorems for Newton’s Method and Extensions to Related Methods
- Convergence and Complexity of Newton Iteration for Operator Equations
- Convergence of Newton’s method and inverse function theorem in Banach space
- Approximate Zeros of Quadratically Convergent Algorithms
- Newton's method under weak Kantorovich conditions
- Generalized differentiability conditions for Newton's method
- Optimal Error Bounds for the Newton–Kantorovich Theorem
- Complexity of Bezout’s Theorem IV: Probability of Success; Extensions
- Convergence of Newton's method and uniqueness of the solution of equations in Banach space
- Newton's method for overdetermined systems of equations
- Newton's Method for Underdetermined Systems of Equations Under the γ-Condition
- Newton's method on Riemannian manifolds: Smale's point estimate theory under the γ-condition
- The Newton method for operators with Hölder continuous first derivative
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