Results 271 to 280 of about 611,251 (307)

On extreme points inl 1

Israel Journal of Mathematics, 1966
It is proved that every bounded closed and convex subset ofl 1 is the closed convex hull of its extreme points.
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Extreme Point Mathematical Programming

Management Science, 1972
The paper considers a class of optimization problems. The problems are linear programming problems: maximize cx subject to Ax = b with the additional constraint that x must also be an extreme point of a second convex polyhedron Dx = d, x ≧ 0. A cutting-plane algorithm for solving such problems is presented. Two numerical examples are also included.
M. J. L. Kirby, H. R. Love, Kanti Swarup
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Extremal dispositions of points on the sphere

Analysis Mathematica, 1997
In this paper the following problem is investigated: Dispose \(N\) points on the unit sphere \(S^{n-1}\) (in \(\mathbb R^n\)) in such a way that the sum of the distances between all pairs of points attain its maximum. Some questions are solved with properties of interpolation polynomials.
Kolushov, A. V., Yudin, V. A.
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Generalized Curves and Extremal Points

SIAM Journal on Control, 1975
A nonparametric variational problem is considered in the setting of the theory of generalized curves. Instead of minimizing a functional dependent on a curve joining two given points, a functional defined on a set of Radon measures is considered ; the set of measures is determined by the boundary conditions. It is shown that this functional attains its
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On extremal points of quasiconvex functions

Mathematical Programming, 1985
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Subordination, Extreme points and support points

Complex Variables, Theory and Application: An International Journal, 1989
Let s(F) denote the set of functions subordinate to a function F analytic in the open unit disk Δ. Let be the set of functions f analytic in Δ such that where ∞s(f)denotes the closed convex hull of s(f). Let denote those functions analytic in Δ such that the set of support points of s( f) is .
D. J. Hallenbeck, S. perera
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Extremal Points, Critical Points, and Saddle Points of Analytic Functions

The American Mathematical Monthly, 2007
8. M. Queff?lec, Transcendance des fractions continues de Thue-Morse, /. Number Theory 73 (1998) 201? 211. 9. -, Irrational numbers with automaton-generated continued fraction expansion, in Dynamical sys tems (Luminy-Marseille, 1998), World Scientific, River Edge, NJ, 2000, pp. 190-198. 10. W. M. Schmidt, On simultaneous approximations of two algebraic
Joseph Bak, Pisheng Ding, Donald Newman
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The Partial Order of a Polymatroid Extreme Point

Mathematics of Operations Research, 1985
Given a (polymatroid) rank function f and its corresponding polymatroid P(f), we associate with each extreme point of P(f) a certain partial order. We show that this partial order is efficiently constructible, and that it characterizes all the orderings with which the greedy algorithm can be used to generate the given extreme point.
Robert E. Bixby, William H. Cunningham, Donald M. Topkis   +2 more
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Estimation of the extreme value and the extreme points

Annals of the Institute of Statistical Mathematics, 1987
Let f be a continuous function defined on some open measurable set \(A\subset R\) and let \(X_ 1,X_ 2,..\). be an i.i.d. sequence with an absolutely continuous distribution function G and \(P(A)=1\). Assume that \(y_ 0=\min \{f(x)\), \(x\in A\}0\) for which \(a_ n^{-1}(\min \{f(X_ 1),...,f(X_ n)\}-y_ 0)\) converges weakly to a distribution of the type \
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C ∗ -Extreme Points

Transactions of the American Mathematical Society, 1981
Hopenwasser, Alan, Moore, Robert L., Paulsen, V. I.   +2 more
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