In this study, we use inexact Newton-like methods to find solutions of nonlinear operator equations on Banach spaces with a convergence structure. Our technique involves the introduction of a generalized norm as an operator from a linear space into a partially ordered Banach space. In this way, the
Generalized conditions for the convergence of inexact Newton-like methods on banach spaces with a convergence structure and applications
โ Scribed by Argyros, Ioannis K.
- Publisher
- Springer-Verlag
- Year
- 1998
- Tongue
- English
- Weight
- 186 KB
- Volume
- 5
- Category
- Article
- ISSN
- 1226-0061
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๐ SIMILAR VOLUMES
this note, we use inexact Newton-like methods to find solutions of nonlinear operator equations on Banach spaces with a convergence structure. Our technique involves the introduction of a generalized norm as an operator from a linear space into a partially ordered Banach space. In this way, the met
In this paper, for a Newton-like method for solving block nonlinear equations arising in the numerical solution of stiff ODEs y' = f(y), which involves a smaller quantity of computation, we prove that it is convergent and the convergence is independent of the stiffness of f(y), and give the error es