Article (Scientific journals)
Globally convergent algorithms for finding zeros of duplomonotone mappings
Aragón Artacho, Francisco Javier; Fleming, Ronan MT
2015In Optimization Letters, 3 (3), p. 569–584
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Keywords :
generalized monotonicity; duplomonotone mapping; monotone mapping; global convergence; line search method; derivative-free algorithm; biochemical reactions
Abstract :
[en] We introduce a new class of mappings, called duplomonotone, which is strictly broader than the class of monotone mappings. We study some of the main properties of duplomonotone functions and provide various examples, including nonlinear duplomonotone functions arising from the study of systems of biochemical reactions. Finally, we present three variations of a derivative-free line search algorithm for finding zeros of systems of duplomonotone equations, and we prove their linear convergence to a zero of the function.
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)
Fleming, Ronan MT ;  University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB)
External co-authors :
no
Language :
English
Title :
Globally convergent algorithms for finding zeros of duplomonotone mappings
Publication date :
2015
Journal title :
Optimization Letters
ISSN :
1862-4480
Publisher :
Springer
Volume :
3
Issue :
3
Pages :
569–584
Peer reviewed :
Peer Reviewed verified by ORBi
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