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Banach Spaces and Extreme Points
"... Abstract. Many properties of Banach spaces are characterized by structure and properties of extreme points on closed unit sphere of Banach spaces. In this paper we considered the connection between the set of extreme points and duality of Banach spaces. ..."
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Abstract. Many properties of Banach spaces are characterized by structure and properties of extreme points on closed unit sphere of Banach spaces. In this paper we considered the connection between the set of extreme points and duality of Banach spaces.
On the Fractional Derivatives at Extreme Points
"... We correct a recent result concerning the fractional derivative at extreme points. We then establish new results for the Caputo and RiemannLiouville fractional derivatives at extreme points. Key words and phrases: Fractional differential equations, Caputo fractional derivative, RiemannLiouville fr ..."
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Cited by 1 (0 self)
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We correct a recent result concerning the fractional derivative at extreme points. We then establish new results for the Caputo and RiemannLiouville fractional derivatives at extreme points. Key words and phrases: Fractional differential equations, Caputo fractional derivative, Riemann
Extreme Points of the Unit Ball . . .
, 2009
"... We study extreme points of the unit ball of an operator space by introducing the new notion (approximate) “quasiidentities”. Then we characterize an operator algebra with a contractive approximate quasi (respectively, left, right, twosided) identity in terms of quasimultipliers and extreme poin ..."
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We study extreme points of the unit ball of an operator space by introducing the new notion (approximate) “quasiidentities”. Then we characterize an operator algebra with a contractive approximate quasi (respectively, left, right, twosided) identity in terms of quasimultipliers and extreme
Extreme Points of Riccati Inequalities
"... AbstructRelations between solutions of the algebraic Riccati equation and the associated quadratic matrix inequalities are discussed and explained. The purpose of this note is to clarify some of the relations that exist between solutions of the algebraic Riccati equation and the associated quadrat ..."
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equations in the engineering literaturetotal confusion. It has been part of the folklore for many years that the solutions of the algebraic Riccati equation are extreme points of the abovementioned quadratic matrix inequalities. In Badawi’s thesis [l] a very elegant proof is given, however, in review
A Remark on Extreme Points in If
, 1971
"... The purpose of this short note is to give a simple remark on a recent paper by Yabuta [4]. Let U be the open unit disc and T the unit circumference which is the topological boundary of U. A function f in the Hardy class H1(Un) on the unit polydisc Un of dimension n is called extremal if f_??_0 and f ..."
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and f/•af•ais an extreme point of the unit ball of H1(Un). For the case n=1, a wellknown result of deLeeuw and Rudin [1] states that f is extremal if and only if it is an outer function in the sense of Beurling. For the case n•†2, Rudin [3] has defined outer functions as a direct generalization
Hybrid Extreme Point Tabu Search
, 1996
"... We develop a new hybrid tabu search method for optimizing a continuous differentiable function over the extreme points of a polyhedron. The method combines extreme point tabu search with traditional descent algorithms based on linear programming. ..."
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Cited by 2 (0 self)
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We develop a new hybrid tabu search method for optimizing a continuous differentiable function over the extreme points of a polyhedron. The method combines extreme point tabu search with traditional descent algorithms based on linear programming.
Extreme Point Detection and the Polar Dual
, 2007
"... This thesis is concerned with the identification of the extreme points of a given finite set of points denoted by S. In Jibrin, Boneh and Caron [18] the authors explored the advantage of using probabilistic methods applied to the polar dual of S to quickly detect some extreme points. This thesis bui ..."
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This thesis is concerned with the identification of the extreme points of a given finite set of points denoted by S. In Jibrin, Boneh and Caron [18] the authors explored the advantage of using probabilistic methods applied to the polar dual of S to quickly detect some extreme points. This thesis
The number of extreme points of tropical polyhedra
, 2009
"... The celebrated upper bound theorem of McMullen determines the maximal number of extreme points of a polyhedron in terms of its dimension and the number of constraints which define it, showing that the maximum is attained by the polar of the cyclic polytope. We show that the same bound is valid in ..."
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Cited by 18 (11 self)
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The celebrated upper bound theorem of McMullen determines the maximal number of extreme points of a polyhedron in terms of its dimension and the number of constraints which define it, showing that the maximum is attained by the polar of the cyclic polytope. We show that the same bound is valid
On extreme points of the PPT Polytope
, 2004
"... The polytope of pointed pseudo triangulations was described in [RSS01]. This polytope is a combinatorial tool to observe all possible pseudo triangulations of ..."
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The polytope of pointed pseudo triangulations was described in [RSS01]. This polytope is a combinatorial tool to observe all possible pseudo triangulations of
Results 1  10
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9,372