Nonparametric Maximum Likelihood Estimation of a Probability Density via Mathematical Programming.
J. Fischer (1982)
Metrika
J. Edmonds, J.-F. Maurras (1997)
RAIRO - Operations Research - Recherche Opérationnelle
Jacques Thépot, Gérard Lechenault (1981)
RAIRO - Operations Research - Recherche Opérationnelle
Libuše Grygarová (1985)
Časopis pro pěstování matematiky
Dorota Kuchta (2007)
Control and Cybernetics
Włodzimierz Szwarc (2009)
Applicationes Mathematicae
This paper shows that cycling of the simplex method for the m × n transportation problem where k-1 zero basic variables are leaving and reentering the basis does not occur once it does not occur in the k × k assignment problem. A method to disprove cycling for a particular k is applied for k=2,3,4,5 and 6.
Winfried Schirotzek (1981)
Commentationes Mathematicae Universitatis Carolinae
Nebojša V. Stojković (2001)
The Yugoslav Journal of Operations Research
Wanka, A. (1989)
Séminaire Lotharingien de Combinatoire [electronic only]
Vemuganti, R.R. (2004)
Journal of Applied Mathematics and Decision Sciences
Jaroslav Morávek (1984)
Aplikace matematiky
A well-known theorem of Rabin yields a dimensional lower bound on the width of complete polynomial proofs of a system of linear algebraic inequalities. In this note we investigate a practically motivated class of systems where the same lower bound can be obtained on the width of almost all (noncomplete) linear proofs. The proof of our result is based on the Helly Theorem.
Szabó, Zsuzsanna, Kovács, Márta (2003)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
H. König, D. Pallaschke (1980/1981)
Numerische Mathematik
C. Buchta (1987)
Discrete & computational geometry
J. Stahl (1971)
Applicationes Mathematicae
Margita Kon-Popovska (2003)
The Yugoslav Journal of Operations Research
Pop, Petrică Claudiu (2005)
Acta Universitatis Apulensis. Mathematics - Informatics
Evald Übi (2007)
Open Mathematics
The system of inequalities is transformed to the least squares problem on the positive ortant. This problem is solved using orthogonal transformations which are memorized as products. Author’s previous paper presented a method where at each step all the coefficients of the system were transformed. This paper describes a method applicable also to large matrices. Like in revised simplex method, in this method an auxiliary matrix is used for the computations. The algorithm is suitable for unstable...
Amitava Dutta, Howard J. Siegel, Andrew B. Whinston (1983)
RAIRO - Operations Research - Recherche Opérationnelle
N. Megiddo (1988)
Discrete & computational geometry