Finiteness of the quadratic primal simplex method when s-monotone index selection rules are applied

Adrienn Csizmadia (), Zsolt Csizmadia () and Tibor Illés ()
Additional contact information
Adrienn Csizmadia: FICO UK
Zsolt Csizmadia: FICO UK
Tibor Illés: Budapest University of Technology and Economics

Central European Journal of Operations Research, 2018, vol. 26, issue 3, No 2, 535-550

Abstract: Abstract This paper considers the primal quadratic simplex method for linearly constrained convex quadratic programming problems. Finiteness of the algorithm is proven when $${\mathbf {s}}$$ s -monotone index selection rules are applied. The proof is rather general: it shows that any index selection rule that only relies on the sign structure of the reduced costs/transformed right hand side vector and for which the traditional primal simplex method is finite, is necessarily finite as well for the primal quadratic simplex method for linearly constrained convex quadratic programming problems.

Keywords: Quadratic programming; Quadratic simplex; Simplex method; Complementary simplex; Anti-cycling (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

Downloads: (external link)
http://link.springer.com/10.1007/s10100-018-0523-1 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:cejnor:v:26:y:2018:i:3:d:10.1007_s10100-018-0523-1

Ordering information: This journal article can be ordered from
http://www.springer. ... search/journal/10100

DOI: 10.1007/s10100-018-0523-1

Access Statistics for this article

Central European Journal of Operations Research is currently edited by Ulrike Leopold-Wildburger

More articles in Central European Journal of Operations Research from Springer, Slovak Society for Operations Research, Hungarian Operational Research Society, Czech Society for Operations Research, Österr. Gesellschaft für Operations Research (ÖGOR), Slovenian Society Informatika - Section for Operational Research, Croatian Operational Research Society
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().