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The Gradient Method for Non–Differentiable Operators in Product Hilbert Spaces and Applications to Elliptic Systems of Quasilinear Differential Equations
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J. Karátson
Published/Copyright:
June 4, 2010
Abstract
The gradient method is considered in Hilbert spaces. Earlier results on linear convergence are extended to systems of equations with certain non-differentiable operators. The method includes the approximate solution of elliptic systems of quasilinear boundary value problems.
Key words and phrases.: Gradient method; systems of operator equations; elliptic systems of quasilinear boundary value problems
Received: 1996-11-25
Revised: 1997-04-28
Published Online: 2010-06-04
Published in Print: 1997-December
©Heldermann Verlag
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Articles in the same Issue
- Set Theoretic Real Analysis
- On Ciesielski's Problems
- Sup-Measurable and Weakly Sup-Measurable Mappings in the Theory of Ordinary Differential Equations
- The Gradient Method for Non–Differentiable Operators in Product Hilbert Spaces and Applications to Elliptic Systems of Quasilinear Differential Equations
- Minimax Inequality of Ky Fan Type in H-Spaces with Applications
- Existence of Equilibria in Finitely Additive Nonatomic Coalition Production Economies
- An Adaptive Parallel Projection Method for Solving Convex Feasibility Problems
Keywords for this article
Gradient method;
systems of operator equations;
elliptic systems of quasilinear boundary value problems
Articles in the same Issue
- Set Theoretic Real Analysis
- On Ciesielski's Problems
- Sup-Measurable and Weakly Sup-Measurable Mappings in the Theory of Ordinary Differential Equations
- The Gradient Method for Non–Differentiable Operators in Product Hilbert Spaces and Applications to Elliptic Systems of Quasilinear Differential Equations
- Minimax Inequality of Ky Fan Type in H-Spaces with Applications
- Existence of Equilibria in Finitely Additive Nonatomic Coalition Production Economies
- An Adaptive Parallel Projection Method for Solving Convex Feasibility Problems
