Results 261 to 270 of about 4,132 (306)

Canonical Barriers on Convex Cones

open access: yesMathematics of Operations Research, 2014
On the interior of a regular convex cone K in n-dimensional real space there exist two canonical Hessian metrics, the one generated by the logarithm of the characteristic function, and the Cheng-Yau metric. The former is associated with a self-concordant logarithmically homogeneous barrier on K, the universal barrier.
Roland Hildebrand
exaly   +5 more sources

Rough convex cones and rough convex fuzzy cones

Soft Computing, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zuhua Liao, Juan Zhou
exaly   +3 more sources

Locally convex projective limit cones

open access: yesMathematica Slovaca, 2016
Using a family of ordered cones, we define a suitable order to investigate projective limit topologies for cones. Under the strict separation property, the projective limit cone topology is proved to be equivalent to some of the X-topologies embedded on ...
M R Motallebi
exaly   +2 more sources

Tangent Cones and Convexity

Canadian Mathematical Bulletin, 1976
The study of general multiplier theorems (Kuhn-Tucker Conditions) for constrained optimization problems has led to extensions of the notion of a differentiable arc. Abadie [1], Varaiya [10], Guignard [5], Zlobec [11] and Massam [12] investigated the so called cone of tangent vectors to a point in a set for optimization purposes.
Borwein, J., O'Brien, R.
openaire   +1 more source

On Cone-Efficiency, Cone-Convexity and Cone-Compactness

SIAM Journal on Applied Mathematics, 1978
The properties of efficient (admissible) points of subsets of $R^n $ are discussed in the case when the space is ordered by a convex cone. It is demonstrated that the notion of cone-compactness (a generalization of compactness) is sufficient to guarantee the existence of an efficient point.
openaire   +1 more source

Continuity of cone-convex functions

Optimization Letters, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Issei Kuwano, Tamaki Tanaka
openaire   +1 more source

Solidity indices for convex cones

Positivity, 2011
The issue addressed in this work is how to measure the degree of solidity of a closed convex cone in the Euclidean space R n. One compares and establishes all sort of relations between the metric, the volumetric, and the Frobenius solidity indices.
Gourion, Daniel, Seeger, Alberto
openaire   +3 more sources

Distances on convex cones

1983
Distances on Convex ...
openaire   +1 more source

On uniqueness cones, velocity cones andP-convexity

Annali di Matematica Pura ed Applicata, 1973
Viene studiata l'unicita nel problema di Cauchy quando i coefficienti sono analitici. Il metodo e basato sull'uso dei coni di unicita. Un cono di unicita e il cono duale di un cono convesso e aperto di direzioni non-caratteristiche in un semi-spazio.
openaire   +2 more sources

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