Metrization of the space of weakly additive positively-homogeneous functionals
Sign Up to like & getrecommendations! Published in 2017 at "Topology and its Applications"
DOI: 10.1016/j.topol.2017.02.042
Abstract: Abstract The present paper is devoted to study of the space of all weakly additive, order-preserving, normalized and positively-homogeneous functionals on a metric compactum. We construct an analogue of a modified Kantorovich–Rubinstein metric on the… read more here.
Keywords: homogeneous functionals; weakly additive; positively homogeneous; space weakly ... See more keywords
Rayleigh quotient minimization for absolutely one-homogeneous functionals
Sign Up to like & getrecommendations! Published in 2019 at "Inverse Problems"
DOI: 10.1088/1361-6420/ab0cb2
Abstract: In this paper we examine the problem of minimizing generalized Rayleigh quotients of the form J(u)/H(u), where both J and H are absolutely one-homogeneous functionals. This can be viewed as minimizing J where the solution… read more here.
Keywords: quotient minimization; rayleigh quotient; absolutely one; homogeneous functionals ... See more keywords