Newton’s method for variational inequality problems: Smale’s point estimate theory under the γ-condition
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Publication:5175327
DOI10.1080/00036811.2013.854332zbMath1308.49007OpenAlexW2014679178WikidataQ58306741 ScholiaQ58306741MaRDI QIDQ5175327
Jen-Chih Yao, Der-Chen E. Chang, Jin-Hua Wang
Publication date: 20 February 2015
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2013.854332
General theory of numerical analysis in abstract spaces (65J05) Variational inequalities (49J40) Newton-type methods (49M15)
Related Items (3)
Local convergence of Newton’s method for solving generalized equations with monotone operator ⋮ Extending the applicability of Newton's method for variational inequality problems under Smale-Wang-\( \gamma\) criteria ⋮ Kantorovich's theorem on Newton's method for solving generalized equations under the majorant condition
Cites Work
- Convergence of Newton's method for sections on Riemannian manifolds
- Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
- Newton's method for sections on Riemannian manifolds: Generalized covariant \(\alpha \)-theory
- Smale's point estimate theory for Newton's method on Lie groups
- Kantorovich's theorem on Newton's method in Riemannian manifolds
- Stability of a cubically convergent method for generalized equations
- Uniqueness of the singular points of vector fields on Riemannian manifolds under the \(\gamma\)-condition
- Extension of Newton's method to nonlinear functions with values in a cone
- Kantorovich's theorems for Newton's method for mappings and optimization problems on Lie groups
- Newton's Method for Multiobjective Optimization
- Convergence and Complexity of Newton Iteration for Operator Equations
- Engineering and Economic Applications of Complementarity Problems
- 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 on Riemannian manifolds: Smale's point estimate theory under the γ-condition
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