Displaying similar documents to “A note on Gordan's theorem over cone domains.”

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...

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...