Mesh independence of Newton-like methods for infinite dimensional problems
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Publication:1184926
DOI10.1216/jiea/1181075649zbMath0756.65085OpenAlexW2032519519MaRDI QIDQ1184926
Ekkehard W. Sachs, Carl. T. Kelley
Publication date: 28 June 1992
Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1216/jiea/1181075649
Banach spacesnumerical resultsNewton's methodquasi-Newton methodsdiscrete convergenceArmijo ruleconvergence behaviorperformance of algorithm
Iterative procedures involving nonlinear operators (47J25) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Numerical solutions to equations with nonlinear operators (65J15)
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Cites Work
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- A pointwise quasi-Newton method for unconstrained optimal control problems
- Global convergence of quasi-Newton-type algorithms for some nonsmooth optimization problems
- Über die numerische Behandlung von Integralgleichungen nach der Quadraturformelmethode
- Minimization of functions having Lipschitz continuous first partial derivatives
- Diskrete Konvergenz linearer Operatoren. I
- Iterative variants of the Nystrom method for the numerical solution of integral equations
- A Quasi-Newton Method for Elliptic Boundary Value Problems
- Convergence Rates of Quasi-Newton Algorithms for Some Nonsmooth Optimization Problems
- A Mesh-Independence Principle for Operator Equations and Their Discretizations
- The Local Convergence of Broyden-Like Methods on Lipschitzian Problems in Hilbert Spaces
- Quasi-Newton Methods and Unconstrained Optimal Control Problems
- Application of the Mesh Independence Principle to Mesh Refinement Strategies
- A Pointwise Quasi-Newton Method for Integral Equations
- Solution of the Chandrasekhar H-equation by Newton’s Method
- A fast two-grid method for matrix H-equations
- A Class of Methods for Solving Nonlinear Simultaneous Equations
- Some probability distributions for neutron transport in a half-space
- A Family of Variable-Metric Methods Derived by Variational Means
- The Convergence of a Class of Double-rank Minimization Algorithms
- A new approach to variable metric algorithms
- Conditioning of Quasi-Newton Methods for Function Minimization