Advanced search
Publication Cover
Optimization
A Journal of Mathematical Programming and Operations Research
Volume 67, 2018 - Issue 5
Submit an article Journal homepage
80
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Ascent and descent cones of ordered median block functions

J. GrzybowskiFaculty of Mathematics and Computer Science, Adam Mickiewicz University, Poznań, Poland.
,
J. KalcsicsInstitute of Operations Research, Karlsruhe Institute of Technology (Univ. Karlsruhe), Karlsruhe, Germany.
,
S. NickelInstitute of Operations Research, Karlsruhe Institute of Technology (Univ. Karlsruhe), Karlsruhe, Germany.
,
D. PallaschkeInstitute of Operations Research, Karlsruhe Institute of Technology (Univ. Karlsruhe), Karlsruhe, Germany.Correspondence[email protected]
ORCID Iconhttp://orcid.org/0000-0002-1812-2597
ORCID Icon &
R. UrbańskiFaculty of Mathematics and Computer Science, Adam Mickiewicz University, Poznań, Poland.
Pages 507-522 | Received 05 Apr 2017, Accepted 10 Jan 2018, Published online: 25 Jan 2018
 
Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days

Abstract

In this paper, we study properties of a special class of ordered median functions, called block-functions. These are ordered median functions which belong to a generating binary (row)-vector of the form called a block vector. The aim of this paper is to explicitly determine the simplicial complexes and all steepest descent and ascent directions of descent and ascent cones of ordered median block-function.

Notes

No potential conflict of interest was reported by the authors.

Log in via your institution

Access through your institution

Log in to Taylor & Francis Online

Restore content access

Restore content access for purchases made as guest
Purchase options * Save for later

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 630.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.