Weighted LCPs and interior point systems for copositive linear transformations on Euclidean Jordan algebras
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Global Optimization"
DOI: 10.1007/s10898-019-00760-7
Abstract: In the setting of a Euclidean Jordan algebra V with symmetric cone $$V_+$$V+, corresponding to a linear transformation M, a ‘weight vector’ $$w\in V_+$$w∈V+, and a $$q\in V$$q∈V, we consider the weighted linear complementarity problem… read more here.
Keywords: lcps interior; euclidean jordan; point; weighted lcps ... See more keywords
Weak majorization, doubly substochastic maps, and some related inequalities in Euclidean Jordan algebras
Sign Up to like & getrecommendations! Published in 2020 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2020.03.028
Abstract: Abstract In this paper, we extend the notion of weak majorization and doubly substochastic maps, and the Hardy-Littlewood-Polya theorem on majorization to Euclidean Jordan algebras. We also provide a characterization of doubly substochastic maps on… read more here.
Keywords: doubly substochastic; euclidean jordan; weak majorization; jordan algebras ... See more keywords