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Larger Convergence Zones for Newton's MethodIterative technique applies over wider range of initial guesses. New theorem describes convergence zone of Newton's iterative method for finding zeros of real function. Involves two points, Xp and Xp*, called primary conjugate points. If exact solution lies between these points (Xp is less than Xz is less than Xp*) and no other conjugate points in interval, then according to theorem, subsequent iterations will converge upon exact solution if initial guess lies in interval.
Document ID
19860000405
Acquisition Source
Legacy CDMS
Document Type
Other - NASA Tech Brief
Authors
Campbell, C. W.
Date Acquired
August 12, 2013
Publication Date
July 1, 1986
Publication Information
Publication: NASA Tech Briefs
Volume: 10
Issue: 4
ISSN: 0145-319X
Subject Category
Mathematics And Information Sciences
Report/Patent Number
MFS-27124
Accession Number
86B10405
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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