Zobrazeno 1 - 10
of 94
pro vyhledávání: '"Closed convex function"'
Autor:
Zălinescu Constantin
Publikováno v:
Open Mathematics, Vol 13, Iss 1 (2015)
The main aim of this short note is to show that the subdifferentiability and duality results established by Laghdir (2005), Laghdir and Benabbou (2007), and Alimohammady et al. (2011), stated in Fréchet spaces, are consequences of the corresponding
Externí odkaz:
https://doaj.org/article/ceb75047a3c647e8bc97b61946c01f48
Publikováno v:
Journal of Optimization Theory and Applications. 183:230-245
In this paper, we study the proximal incremental aggregated gradient(PIAG) algorithm for minimizing the sum of L-smooth nonconvex component functions and a proper closed convex function. By exploiting the L-smooth property and with the help of an err
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ad06d3c05e486a6ad7250269071264e7
https://doi.org/10.1007/s10957-019-01538-3
https://doi.org/10.1007/s10957-019-01538-3
Publikováno v:
Computational Optimization and Applications. 73:69-100
We consider the problem of minimizing a difference-of-convex (DC) function, which can be written as the sum of a smooth convex function with Lipschitz gradient, a proper closed convex function and a continuous possibly nonsmooth concave function. We
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::910624e5e5f746ec7021cf88251d4947
https://doi.org/10.1007/s10589-019-00067-z
https://doi.org/10.1007/s10589-019-00067-z
Publikováno v:
Mathematical Programming. 175:395-418
For a symmetric positive semidefinite linear system of equations $$\mathcal{Q}{{\varvec{x}}}= {{\varvec{b}}}$$ , where $${{\varvec{x}}}= (x_1,\ldots ,x_s)$$ is partitioned into s blocks, with $$s \ge 2$$ , we show that each cycle of the classical blo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::882f1454618f2e53eb67191e16f49051
https://doi.org/10.1007/s10107-018-1247-7
https://doi.org/10.1007/s10107-018-1247-7
Publikováno v:
Acta Mathematica Hungarica. 152:114-129
Let X be a real Hilbert space. We give necessary and sufficient algebraic conditions for a mapping $${F\colon X \to X}$$ with a closed image set to be the metric projection mapping onto a closed convex set. We provide examples that illustrate the nec
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2509a34a45c778ebc0c16c7957f50d49
https://doi.org/10.1007/s10474-017-0691-9
https://doi.org/10.1007/s10474-017-0691-9
Autor:
Jan Brinkhuis
Publikováno v:
Convex Analysis for Optimization ISBN: 9783030418038
• Why. The phenomenon duality for a proper closed convex function, the possibility to describe it from the outside of its epigraph, by graphs of affine (constant plus linear) functions, has to be investigated. This has to be done for its own sake a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f892eff2442fe2233c6c27d4561ae887
https://doi.org/10.1007/978-3-030-41804-5_6
https://doi.org/10.1007/978-3-030-41804-5_6
Autor:
Petra Weidner
Publikováno v:
Optimization. 66:491-505
In this paper, lower semicontinuous functionals with uniform sublevel sets are investigated, where the sublevel sets are linear shifts of a set in a fixed direction. The extended real-valued functionals are defined on a topological vector space. Cond
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c21e891532e01ff4a0c7de2282f2a7fa
https://doi.org/10.1080/02331934.2017.1279161
https://doi.org/10.1080/02331934.2017.1279161
In this paper, we describe and establish iteration-complexity of two accelerated composite gradient (ACG) variants to solve a smooth nonconvex composite optimization problem whose objective function is the sum of a nonconvex differentiable function $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ebb9065c3e22762ff804fa527b2e991
Autor:
Sandor Nemeth, Guohan Zhang
Publikováno v:
Journal of Optimization Theory and Applications. 168:756-768
Solutions of a variational inequality problem defined by a closed and convex set and a mapping are found by imposing conditions for the monotone convergence with respect to a cone of the Picard iteration corresponding to the composition of the projec
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::764b6d27517f4839ed48ae6c8e2a1fd1
https://doi.org/10.1007/s10957-015-0833-6
https://doi.org/10.1007/s10957-015-0833-6
Autor:
Wei Wang
Publikováno v:
Journal of Functional Analysis. 267:799-841
There is a long standing conjecture in Hamiltonian analysis which claims that there exist at least n geometrically distinct closed characteristics on every compact convex hypersurface in R 2 n with n ≥ 2 . In [23] , Y. Long and C. Zhu proved there
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1596db28e15399a08264e42d6ce19f91
https://doi.org/10.1016/j.jfa.2014.05.014
https://doi.org/10.1016/j.jfa.2014.05.014