Zobrazeno 1 - 10
of 768
pro vyhledávání: '"Nemeth, S."'
Autor:
Bolton, R., Németh, S. Z.
This paper presents necessary, sufficient, and equivalent conditions for the spherical convexity of non-homogeneous quadratic functions. In addition to motivating this study and identifying useful criteria for determining whether such functions are s
Externí odkaz:
http://arxiv.org/abs/2406.04205
In this paper, we study a new generalization of the Lorentz cone, called the Monotone Extended Second Order Cone (MESOC). We investigate basic properties of MESOC including computation of its Lyapunov rank and proving its reducibility. Moreover, we s
Externí odkaz:
http://arxiv.org/abs/2103.04830
Autor:
Németh, A. B., Németh, S. Z.
Asymmetric vector norms are generalizations of asymmetric norms, where the subadditivity inequality is understood in ordered vector space sense. This relation imposes strong conditions on the ordering itself. This note studies on these conditions in
Externí odkaz:
http://arxiv.org/abs/2005.10508
Autor:
Németh, S. Z.
The Z-property of a linear map with respect to a cone is an extension of the notion of Z-matrices. In a recent paper of Orlitzky (see Corollary 6.2 in M. Orlitzky. Positive and $\mathbf{Z}$-operators on closed convex cones, Electron. J Linear Algebra
Externí odkaz:
http://arxiv.org/abs/1905.06885
In this paper the spherical quasi-convexity of quadratic functions on spherically convex sets is studied. Several conditions characterizing the spherical quasi-convexity of quadratic functions are presented. In particular, conditions implying spheric
Externí odkaz:
http://arxiv.org/abs/1804.02907
Autor:
Németh, S. Z., Xiao, L.
In this paper, we study the linear complementarity problems on extended second order cones. We convert a linear complementarity problem on an extended second order cone into a mixed complementarity problem on the non-negative orthant. We state necess
Externí odkaz:
http://arxiv.org/abs/1707.04268
Autor:
Ferreira, O. P., Németh, S. Z.
In this paper we study the spherical convexity of quadratic functions on spherically convex sets. In particular, conditions characterizing the spherical convexity of quadratic functions on spherical convex sets associated to the positive orthants and
Externí odkaz:
http://arxiv.org/abs/1704.07665
Autor:
Ferreira, O. P., Németh, S. Z.
The extended second order cones were introduced by S. Z. N\'emeth and G. Zhang in [S. Z. N\'emeth and G. Zhang. Extended Lorentz cones and variational inequalities on cylinders. J. Optim. Theory Appl., 168(3):756-768, 2016] for solving mixed compleme
Externí odkaz:
http://arxiv.org/abs/1610.08887
Autor:
Németh, A. B., Németh, S. Z.
The congruence orbit of a matrix has a natural connection with the linear complementarity problem on simplicial cones formulated for the matrix. In terms of the two approaches -- the congruence orbit and the family of all simplicial cones -- we give
Externí odkaz:
http://arxiv.org/abs/1608.08895
Autor:
Németh, S. Z., Zhang, G.
In this paper necessary conditions and sufficient conditions are given for a linear operator to be a positive operators of an Extended Lorentz cone. Similarities and differences with the positive operators of Lorentz cones are investigated.
Externí odkaz:
http://arxiv.org/abs/1608.07455