Displaying similar documents to “Chebyshev inequalities and self-dual cones.”

Numerical behavior of the method of projection onto an acute cone with level control in convex minimization

Robert Dylewski (2000)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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We present the numerical behavior of a projection method for convex minimization problems which was studied by Cegielski [1]. The method is a modification of the Polyak subgradient projection method [6] and of variable target value subgradient method of Kim, Ahn and Cho [2]. In each iteration of the method an obtuse cone is constructed. The obtuse cone is generated by a linearly independent system of subgradients. The next approximation of a solution is the projection onto a translated...

A review of selected topics in majorization theory

Marek Niezgoda (2013)

Banach Center Publications

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In this expository paper, some recent developments in majorization theory are reviewed. Selected topics on group majorizations, group-induced cone orderings, Eaton triples, normal decomposition systems and similarly separable vectors are discussed. Special attention is devoted to majorization inequalities. A unified approach is presented for proving majorization relations for eigenvalues and singular values of matrices. Some methods based on the Chebyshev functional and similarly separable...

H -cones and potential theory

Nicu Boboc, Gheorghe Bucur, A. Cornea (1975)

Annales de l'institut Fourier

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The H -cone is an abstract model for the cone of positive superharmonic functions on a harmonic space or for the cone of excessive functions with respect to a resolvent family, having sufficiently many properties in order to develop a good deal of balayage theory and also to construct a dual concept which is also an H -cone. There are given an integral representation theorem and a representation theorem as an H -cone of functions for which fine topology, thinnes, negligible sets and the...