Reference : Globally convergent algorithms for finding zeros of duplomonotone mappings
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/17180
Globally convergent algorithms for finding zeros of duplomonotone mappings
English
Aragón Artacho, Francisco Javier mailto [University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB) > >]
Fleming, Ronan MT mailto [University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB) > >]
2015
Optimization Letters
Springer
3
3
569–584
Yes (verified by ORBilu)
International
1862-4472
1862-4480
[en] generalized monotonicity ; duplomonotone mapping ; monotone mapping ; global convergence ; line search method ; derivative-free algorithm ; biochemical reactions
[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.
Luxembourg Centre for Systems Biomedicine (LCSB): Systems Biochemistry (Fleming Group)
http://hdl.handle.net/10993/17180
10.1007/s11590-014-0769-z

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