Geodesic
Orbits of Geometric Descent
Canadian mathematical bulletin, Tome 58 (2015) no. 1, pp. 44-50

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DOI

We prove that quasiconvex functions always admit descent trajectories bypassing all nonminimizing critical points.
DOI : 10.4153/CMB-2014-013-8
Mots-clés : 34A60, 49J99, differential inclusion, quasiconvex function, self-contracted curve, sweeping process 
Daniilidis, A.; Drusvyatskiy, D.; Lewis, A. S. Orbits of Geometric Descent. Canadian mathematical bulletin, Tome 58 (2015) no. 1, pp. 44-50. doi: 10.4153/CMB-2014-013-8
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     title = {Orbits of {Geometric} {Descent}},
     journal = {Canadian mathematical bulletin},
     pages = {44--50},
     year = {2015},
     volume = {58},
     number = {1},
     doi = {10.4153/CMB-2014-013-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2014-013-8/}
}
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