On a hybrid experimental design
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Jaroslava Mikulecká (1983)
Kybernetika
Jiří V. Outrata, Jiří Jarušek (1982)
Kybernetika
Azé, Dominique, Rahmouni, Abdelouahed (1996)
Journal of Convex Analysis
Levitin, E., Tichatschke, R. (1998)
Journal of Convex Analysis
Pop, Petrică Claudiu (2005)
Acta Universitatis Apulensis. Mathematics - Informatics
Iusem, Alfredo N. (1998)
Journal of Convex Analysis
Jiří Durdil (1986)
Acta Universitatis Carolinae. Mathematica et Physica
Popescu, Elena (2003)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
L. M. Graña Drummond, Alfredo Noel Iusem, B. F. Svaiter (2000)
RAIRO - Operations Research - Recherche Opérationnelle
L. M. Grana Drummond, Alfredo Noel Iusem, B. F. Svaiter (2010)
RAIRO - Operations Research
In this paper we study the well definedness of the central path associated to a given nonlinear (convex) semidefinite programming problem. Under standard assumptions, we establish that the existence of the central path is equivalent to the nonemptiness and boundedness of the optimal set. Other equivalent conditions are given, such as the existence of a strictly dual feasible point or the existence of a single central point.The monotonic behavior of the logarithmic barrier and the objective function...
Dostál, Zdeněk (2008)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Kutateladze, S.S. (2002)
Sibirskij Matematicheskij Zhurnal
Le Van Hot (1985)
Acta Universitatis Carolinae. Mathematica et Physica
J. Stoer, P. Baptist (1977)
Numerische Mathematik
J. Stoer (1977)
Numerische Mathematik
Alfredo Noel Iusem, Álvaro Rodolfo De Pierro (1984)
Commentationes Mathematicae Universitatis Carolinae
Constantin Zălinescu (2015)
Open Mathematics
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 known results using Moreau-Rockafellar type conditions.
Ludger Rüschendorf (1995)
Applicationes Mathematicae
Some necessary and some sufficient conditions are established for the explicit construction and characterization of optimal solutions of multivariate transportation (coupling) problems. The proofs are based on ideas from duality theory and nonconvex optimization theory. Applications are given to multivariate optimal coupling problems w.r.t. minimal -type metrics, where fairly explicit and complete characterizations of optimal transportation plans (couplings) are obtained. The results are of interest...
A. Shapiro (1982)
Numerische Mathematik
Peter Kosmol (1976)
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