Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898071 | Linear Algebra and its Applications | 2018 | 23 Pages |
Abstract
In this paper we study some optimization problems on Lewis' normal decomposition systems (1996, 2000). We extend Gowda and Jeong's commutation principle (2017) in two directions. Firstly, we replace the sum operation by an arbitrary binary operation monotone in each variable. Secondly, we employ G-increasing functions in place of G-invariant convex functions. We give applications to some classes of matrices. We also interpret the obtained results for simple Euclidean Jordan algebras.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Marek Niezgoda,