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- Title
On a new Newton-Mysovskii-type theorem with applications to inexact Newton-like methods and their discretizations.
- Authors
Argyros, IK
- Abstract
Introduces a Newton-Mysovskii-type theorem to study the convergence on inexact Newton-like methods to locally unique solution of a nonlinear operator equation with a nondifferentiable term. Extension of the validity of the mesh independence principle to include the inexact methods; Solution of a nonlinear integral equation appearing in radioactive transfer.
- Subjects
NUMERICAL solutions to nonlinear operator equations; STOCHASTIC convergence; NUMERICAL solutions to integral equations
- Publication
IMA Journal of Numerical Analysis, 1998, Vol 18, Issue 1
- ISSN
0272-4979
- Publication type
Article
- DOI
10.1093/imanum/18.1.37