A verification method for solutions of nonsmooth equations

A verification method for solutions of nonsmooth equations This paper proposes a verification method for the existence of solutions of nonsmooth equations. We generalize the Krawczyk operator to nonsmooth equations by using the mean-value theorem for nonsmooth functions. We establish a semi-local convergence theorem for the generalized Newton method for nonsmooth equations. The proposed method is a combination of the generalized Krawczyk operator and the semi-local convergence theorem. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computing Springer Journals

A verification method for solutions of nonsmooth equations

Computing, Volume 58 (3) – Aug 4, 2007

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Publisher
Springer Journals
Copyright
Copyright © 1997 by Springer-Verlag
Subject
Mathematics; Computational Mathematics and Numerical Analysis
ISSN
0010-485X
eISSN
1436-5057
DOI
10.1007/BF02684394
Publisher site
See Article on Publisher Site

Abstract

This paper proposes a verification method for the existence of solutions of nonsmooth equations. We generalize the Krawczyk operator to nonsmooth equations by using the mean-value theorem for nonsmooth functions. We establish a semi-local convergence theorem for the generalized Newton method for nonsmooth equations. The proposed method is a combination of the generalized Krawczyk operator and the semi-local convergence theorem.

Journal

ComputingSpringer Journals

Published: Aug 4, 2007

References

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