Iterative methods for nonlinear operator equations

DOI10.1016/0096-3003(92)90072-9zbMath0760.65055OpenAlexW1977687488MaRDI QIDQ1200230

Zahari Zlatev, Anthony Theodore Chronopoulos

Publication date: 17 January 1993

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(92)90072-9

zbMATH Keywords

Hilbert spaceerror boundsconjugate gradient methodnormal equationslocal convergencenonlinear operator equationsasymptotic steplength estimates

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (2)

Acceleration of sequential subspace optimization in Banach spaces by orthogonal search directions ⋮ Nonlinear orthomin\((k)\) methods

Cites Work

• Convergence of a two-stage Richardson process for nonlinear equations
• Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
• A Taxonomy for Conjugate Gradient Methods
• A discrete Newton algorithm for minimizing a function of many variables
• Inexact Newton Methods
• On General Iterative Methods for the Solutions of a Class of Nonlinear Operator Equations
• Function minimization by conjugate gradients
• The Conjugate Gradient Method for Linear and Nonlinear Operator Equations
• On the Approximate Minimization of Functionals
• Methods of conjugate gradients for solving linear systems
• The N‐Step Iteration Procedures
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Iterative methods for nonlinear operator equations