On iterative computation of fixed points and optimization
From MaRDI portal
Publication:287945
DOI10.1186/s13663-015-0372-8zbMath1505.65209OpenAlexW1571897438WikidataQ59403113 ScholiaQ59403113MaRDI QIDQ287945
Ioannis K. Argyros, Saïd Hilout, Yeol Je Cho
Publication date: 23 May 2016
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13663-015-0372-8
fixed pointGauss-Newton methodsemi-local convergenceconvex composite optimizationmajorizing sequences
Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a new semilocal convergence analysis for the Jarratt method
- Weaker conditions for the convergence of Newton's method
- Extending the applicability of the Gauss-Newton method under average Lipschitz-type conditions
- Kantorovich's majorants principle for Newton's method
- Convergence criterion of Newton's method for singular systems with constant rank derivatives
- Convergence behavior of Gauss-Newton's method and extensions of the Smale point estimate theory
- On regularity for constrained extremum problems. I: Sufficient optimality conditions
- On regularity for constrained extremum problems. II: Necessary optimality conditions
- A Kantorovich-type convergence analysis for the Gauss-Newton-method
- Convergence and uniqueness properties of Gauss-Newton's method
- A Gauss-Newton method for convex composite optimization
- Accessibility of solutions of operator equations by Newton-like methods
- Extension of Newton's method to nonlinear functions with values in a cone
- Convergence of Halley's method for operators with the bounded second Fréchet-derivative in Banach spaces
- Computational Methods in Nonlinear Analysis
- Majorizing Functions and Convergence of the Gauss–Newton Method for Convex Composite Optimization
- LOCAL CONVERGENCE ANALYSIS FOR A CERTAIN CLASS OF INEXACT METHODS
- The majorant method in the theory of newton-kantorovich approximations and the pták error estimates
- Convergence domains of certain iterative methods for solving nonlinear equations
- Stability Theory for Systems of Inequalities. Part I: Linear Systems
- Convergence of Newton’s method and inverse function theorem in Banach space
- Convergence of Newton's method and uniqueness of the solution of equations in Banach space
- ON THE "TERRA INCOGNITA" FOR THE NEWTON-KANTROVICH METHOD WITH APPLICATIONS
- Convex Analysis
- Characterizations of Error Bounds for Convex Multifunctions on Banach Spaces
- LOCAL CONVERGENCE ANALYSIS OF INEXACT NEWTON-LIKE METHODS
- LOCAL CONVERGENCE ANALYSIS OF INEXACT NEWTON-LIKE METHODS
- On convergence of the Gauss-Newton method for convex composite optimization.
