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Symmetric spaces and convex cones
"... We recall some notation and basic facts concerning convex cones in Lie algebras. An excellent source of reference is the monograph [5], which tells the story of convex cones and their relation to Lie semigroups. A wedge W in a finite dimensional real vector space is a topologically closed ..."
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We recall some notation and basic facts concerning convex cones in Lie algebras. An excellent source of reference is the monograph [5], which tells the story of convex cones and their relation to Lie semigroups. A wedge W in a finite dimensional real vector space is a topologically closed
CONVEX CONES IN SCREW SPACES
"... This work examines different screw systems and analyzes the possible subsets spanned by the various choices of a screw basis when the intensities of the wrenches, applied on the screws of the basis, are not allowed to change sign. Such sets arise in cable robotics and grasping. Convex screw spaces ..."
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Cited by 1 (0 self)
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This work examines different screw systems and analyzes the possible subsets spanned by the various choices of a screw basis when the intensities of the wrenches, applied on the screws of the basis, are not allowed to change sign. Such sets arise in cable robotics and grasping. Convex screw spaces
SPHERICAL CAPS IN A CONVEX CONE
"... Abstract. We show that a compact embedded hypersurface with constant ratio of mean curvature functions in a convex cone C ⊂ Rn+1 is part of a hypersphere if it has a point where all the principal curvatures are positive and if it is perpendicular to ∂C. 1. ..."
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Abstract. We show that a compact embedded hypersurface with constant ratio of mean curvature functions in a convex cone C ⊂ Rn+1 is part of a hypersphere if it has a point where all the principal curvatures are positive and if it is perpendicular to ∂C. 1.
Representing Sets of Orientations as Convex Cones
"... Abstract — In a wide range of applications the orientation of a rigid body does not need to be restricted to one given orientation, but can be given as a continuous set of frames. We address the problem of defining such sets and to find simple tests to verify if an orientation lies within a given se ..."
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set. The unit quaternion is used to represent the orientation of the rigid body and we develop three different sets of orientations that can easily be described by simple constraints in quaternion space. The three sets discussed can also be described as convex cones in R 3 defined by different norms
Multispectral and hyperspectral image analysis with convex cones
 IEEE Trans. Geosci. Remote Sens
, 1999
"... Abstract—A new approach to multispectral and hyperspectral image analysis is presented. This method, called convex cone analysis (CCA), is based on the fact that some physical quantities such as radiance are nonnegative. The vectors formed by discrete radiance spectra are linear combinations of non ..."
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Cited by 43 (0 self)
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Abstract—A new approach to multispectral and hyperspectral image analysis is presented. This method, called convex cone analysis (CCA), is based on the fact that some physical quantities such as radiance are nonnegative. The vectors formed by discrete radiance spectra are linear combinations
On Homogeneous Convex Cones, Carathéodory Number, And Duality Mapping
 Mathematics of Operations Research
, 1999
"... Using three simple examples, we answer three questions related to homogeneous convex cones, the Carath'eodory number of convex cones and selfconcordant barriers for convex cones. First, we show that if the convex cone is not homogeneous then the duality mapping does not have to be an involutio ..."
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Cited by 4 (3 self)
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Using three simple examples, we answer three questions related to homogeneous convex cones, the Carath'eodory number of convex cones and selfconcordant barriers for convex cones. First, we show that if the convex cone is not homogeneous then the duality mapping does not have
Inference Under Convex Cone Alternatives for Correlated Data
, 2004
"... This paper develops inferential theory for hypothesis testing under general convex cone alternatives for correlated data. Often, interest lies in detecting order among treatment effects, while simultaneously modeling relationships with regression parameters. Incorporating shape or order restrictions ..."
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Cited by 3 (2 self)
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This paper develops inferential theory for hypothesis testing under general convex cone alternatives for correlated data. Often, interest lies in detecting order among treatment effects, while simultaneously modeling relationships with regression parameters. Incorporating shape or order
RATIONAL CONVEX CONES AND CYCLOTOMIC MULTIPLE ZETA VALUES
, 2004
"... In this paper, we introduce zeta values of rational convex cones in a finite dimensional vector space over Q, which is a generalization of cyclotomic multiple zeta values. Cyclotomic multiple zeta values appears in the period integral for the fundamental group of C × − µN, where µN is the subgroup ..."
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Cited by 1 (0 self)
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In this paper, we introduce zeta values of rational convex cones in a finite dimensional vector space over Q, which is a generalization of cyclotomic multiple zeta values. Cyclotomic multiple zeta values appears in the period integral for the fundamental group of C × − µN, where µN is the subgroup
Constructing selfconcordant barriers for convex cones
, 2006
"... In this paper we develop a technique for constructing selfconcordant barriers for convex cones. We start from a simple proof for a variant of standard result [1] on transformation of a νselfconcordant barrier for a set into a selfconcordant barrier for its conic hull with parameter (3.08 √ ν + 3 ..."
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Cited by 4 (0 self)
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In this paper we develop a technique for constructing selfconcordant barriers for convex cones. We start from a simple proof for a variant of standard result [1] on transformation of a νselfconcordant barrier for a set into a selfconcordant barrier for its conic hull with parameter (3.08 √ ν
Results 1  10
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54,899