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arXiv:1307.8411 [math.NA]AbstractReferencesReviewsResources

Stepsize control for Newton's method in the presence of singularities

Michael Kratzer

Published 2013-07-31Version 1

Singularities in the Jacobian matrix are an obstacle to Newton's method. We show that stepsize controls suggested by Deuflhard and Steinhoff can be used to detect and rapidly converge to such singularities.

Comments: 14 pages, 4 figures
Categories: math.NA
Subjects: 65H10, 65H20
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