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Some quadrature-based versions of the generalized Newton method for solving nonsmooth equations

✍ Scribed by Marek J. Śmietański

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
236 KB
Volume
235
Category
Article
ISSN
0377-0427

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✦ Synopsis

In this paper, modifications of a generalized Newton method based on some rules of quadrature are studied. The methods considered are Newton-like iterative schemes for numerical solving systems of nonsmooth equations. Some mild conditions are given that ensure superlinear convergence to a solution. Moreover, a parameterized version of the midpoint version is presented. Finally, results of numerical tests are established.

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