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Zbl 1068.65505
Gasparo, M. G.; Morini, B.
Inexact methods: Forcing terms and conditioning. (English)
[J] J. Optimization Theory Appl. 107, No. 3, 573-589 (2000). ISSN 0022-3239; ISSN 1573-2878/e

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

MSC 2000:: *65H10 Systems of nonlinear equations (numerical methods)

Keywords: nonlinear systems; inexact methods; local convergence; conditioning

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