Article (Scientific journals)
Metric regularity of Newton's iteration
Aragón Artacho, Francisco Javier; Dontchev, A. L.; Gaydu, M. et al.
2011In SIAM Journal on Control and Optimization, 49 (2), p. 339-362
Peer reviewed
 

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Keywords :
Lyusternik-Graves theorem; Newton's method; metric regularity
Abstract :
[en] For a version of Newton's method applied to a generalized equation with a parameter, we extend the paradigm of the Lyusternik–Graves theorem to the framework of a mapping acting from the pair “parameter-starting point” to the set of corresponding convergent Newton sequences. Under ample parameterization, metric regularity of the mapping associated with convergent Newton sequences becomes equivalent to the metric regularity of the mapping associated with the generalized equation. We also discuss an inexact Newton method and present an application to discretized optimal control.
Research center :
Luxembourg Centre for Systems Biomedicine (LCSB): Systems Biochemistry (Fleming Group)
Disciplines :
Mathematics
Author, co-author :
Aragón Artacho, Francisco Javier ;  University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB)
Dontchev, A. L.
Gaydu, M.
Geoffroy, M.H.
Veliov, V. M.
Language :
English
Title :
Metric regularity of Newton's iteration
Publication date :
2011
Journal title :
SIAM Journal on Control and Optimization
ISSN :
0363-0129
Volume :
49
Issue :
2
Pages :
339-362
Peer reviewed :
Peer reviewed
Available on ORBilu :
since 15 November 2013

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