Zobrazeno 1 - 10
of 869
pro vyhledávání: '"Convex conjugate"'
Akademický článek
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Publikováno v:
Bulletin of Mathematical Sciences, Vol 10, Iss 1, Pp 2050004-1-2050004-24 (2020)
We consider a nonlinear optimal control problem with dynamics described by a differential inclusion involving a maximal monotone map A : ℝN → 2ℝN. We do not assume that D(A) = ℝN, incorporating in this way systems with unilateral constraints
Externí odkaz:
https://doaj.org/article/27ede68257a44fde9efe5ca2e6d81766
Akademický článek
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Autor:
Marc Sedjro
Publikováno v:
Symmetry, Vol 7, Iss 4, Pp 2009-2024 (2015)
We consider a class of Monge–Ampere equations where the convex conjugate of the unknown function is prescribed on a boundary of its domain yet to be determined. We show the existence of a weak solution.
Externí odkaz:
https://doaj.org/article/922967b260364432bddcb2454b5fc2c7
Publikováno v:
Optimization. 71:811-847
Using tools provided by the theory of abstract convexity, we extend conditions for zero duality gap to the context of non-convex and nonsmooth optimization. Mimicking the classical setting, an abstract convex function is the upper envelope of a famil
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::701a86e80d2bc94758b525434702971c
https://doi.org/10.1080/02331934.2021.1910694
https://doi.org/10.1080/02331934.2021.1910694
Autor:
Narin Petrot, Nimit Nimana
Publikováno v:
Optimization. 70:1307-1336
We consider the problem of minimizing a finite sum of convex functions subject to the set of minimizers of a convex differentiable function. In order to solve the problem, an algorithm combining the incremental proximal gradient method with smooth pe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3f584fc1905ac463c97535a9ae9737f7
https://doi.org/10.1080/02331934.2020.1846188
https://doi.org/10.1080/02331934.2020.1846188
Publikováno v:
Optimization. 71:355-386
The so-called l0 pseudonorm on Rd counts the number of nonzero components of a vector. It is used in sparse optimization, either as criterion or in the constraints, to obtain solutions with few nonzero entries. For such problems, the Fenchel conjugac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fec0e36d11739164bd68c8baf64e73e1
https://doi.org/10.1080/02331934.2020.1822836
https://doi.org/10.1080/02331934.2020.1822836
Autor:
C. L. Yao, Jia-wei Chen
Publikováno v:
Optimization Letters. 15:1241-1261
In our previous work, we introduced a vector topical function which takes values in a general ordered Banach space. With some weak versions of supremum, a set-valued mapping was proposed to build the envelope for it. In this paper, regarding the imag
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::63e2343e8de109bbfc16da1816092883
https://doi.org/10.1007/s11590-020-01634-8
https://doi.org/10.1007/s11590-020-01634-8
Conditions for the existence, identification and calculus rules of the threshold of prox-boundedness
Autor:
Chayne Planiden
Publikováno v:
Optimization Letters. 15:45-57
This work advances knowledge of the threshold of prox-boundedness of a function; an important concern in the use of proximal point optimization algorithms and in determining the existence of the Moreau envelope of the function. In finite dimensions,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::61f80b1c115503e07d7cd68344a2d0c0
https://doi.org/10.1007/s11590-020-01583-2
https://doi.org/10.1007/s11590-020-01583-2
Publikováno v:
Bulletin of Mathematical Sciences, Vol 10, Iss 1, Pp 2050004-1-2050004-24 (2020)
Bulletin of mathematical sciences, vol. 10, no. 1, 2020.
Bulletin of mathematical sciences, vol. 10, no. 1, 2020.
We consider a nonlinear optimal control problem with dynamics described by a differential inclusion involving a maximal monotone map ▫$A colon mathbb{R}^N to 2^{mathbb{R}^N}$▫. We do not assume that ▫$D(A) = mathbb{R}^N$▫, incorporating in th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3a520638a04ae186f7f8987b74fc23ae
