THE APPROXIMATE SOLUTION OF DEFINING EQUATIONS FOR GENERALIZED TURNING-POINTS

Authors
GRIEWANK A REDDIEN GW
Citation
A. Griewank et Gw. Reddien, THE APPROXIMATE SOLUTION OF DEFINING EQUATIONS FOR GENERALIZED TURNING-POINTS, SIAM journal on numerical analysis, 33(5), 1996, pp. 1912-1920
Citations number
16
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on numerical analysis → ACNP
ISSN journal
00361429
Volume
33
Issue
5
Year of publication
1996
Pages
1912 - 1920
Database
ISI
SICI code
0036-1429(1996)33:5<1912:TASODE>2.0.ZU;2-#
Abstract
A set of defining equations for turning points is shown to produce a t est function that can be computed iteratively to ''double'' accuracy. An inexact Newton method is then derived that gives a method for the e fficient calculation of turning points. Applications are given to disc retized boundary value problems using conjugate gradients.