Inexact Methods: Forcing Terms and Conditioning

M. G. Gasparo and B. Morini
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M. G. Gasparo: ``Sergio Stecco”
B. Morini: ``Sergio Stecco”

Journal of Optimization Theory and Applications, 2000, vol. 107, issue 3, No 8, 573-589

Abstract: Abstract In this paper, we consider inexact Newton and Newton-like methods andprovide new convergence conditions relating the forcing terms to theconditioning of the iteration matrices. These results can be exploited wheninexact methods with iterative linear solvers are used. In this framework,preconditioning techniques can be used to improve the performance ofiterative linear solvers and to avoid the need of excessively small forcingterms. Numerical experiments validating the theoretical results arediscussed.

Keywords: nonlinear systems; inexact methods; local convergence; conditioning (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1023/A:1026499216100

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