Extended Newton methods for conic inequalities: approximate solutions and the extended Smale \(\alpha\)-theory
From MaRDI portal
Publication:289521
DOI10.1016/j.jmaa.2016.03.023zbMath1382.65155OpenAlexW2300292459MaRDI QIDQ289521
Publication date: 30 May 2016
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.03.023
Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)
Related Items (4)
On semilocal convergence analysis for two-step Newton method under generalized Lipschitz conditions in Banach spaces ⋮ Relative regularity conditions and linear regularity properties for split feasibility problems in normed linear spaces ⋮ Quantitative Analysis for Perturbed Abstract Inequality Systems in Banach Spaces ⋮ Error bounds for approximate solutions of abstract inequality systems and infinite systems of inequalities on Banach spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convergence analysis of the Gauss-Newton method for convex inclusion and convex-composite optimization problems
- On dominating sequence method in the point estimate and Smale's theorem
- Convergence behavior of Gauss-Newton's method and extensions of the Smale point estimate theory
- Local and global behavior for algorithms of solving equations
- Newton's method for analytic systems of equations with constant rank derivatives
- Extension of Newton's method to nonlinear functions with values in a cone
- Approximate Solutions of Analytic Inequality Systems
- Approximate Solutions for Abstract Inequality Systems
- Convergence of the Gauss--Newton Method for Convex Composite Optimization under a Majorant Condition
- Majorizing Functions and Convergence of the Gauss–Newton Method for Convex Composite Optimization
- Variational Analysis in Semi-Infinite and Infinite Programming, I: Stability of Linear Inequality Systems of Feasible Solutions
- The fundamental theorem of algebra and complexity theory
- Convergence of Newton’s method and inverse function theorem in Banach space
- Approximate Zeros of Quadratically Convergent Algorithms
- Newton's method on Riemannian manifolds: covariant alpha theory
- A unified approach to generalized inverses of linear operators: I. Algebraic, topological and projectional properties
- Complexity of Bezout’s Theorem IV: Probability of Success; Extensions
- Multihomogeneous Newton methods
- Newton's method for overdetermined systems of equations
- Calmness Modulus of Linear Semi-infinite Programs
- Nonsmooth Cone-Constrained Optimization with Applications to Semi-Infinite Programming
- 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
- Monotone processes of convex and concave type
- Normed Convex Processes
- Error Bounds for Degenerate Cone Inclusion Problems
This page was built for publication: Extended Newton methods for conic inequalities: approximate solutions and the extended Smale \(\alpha\)-theory
