Compact relaxations for polynomial programming problems

Reduced RLT constraints are a special class of Reformulation- Linearization Technique (RLT) constraints. They apply to nonconvex (both continuous and mixed-integer) quadratic programming problems subject to systems of linear equality constraints. We present an extension to the general case of polynomial programming problems and discuss the derived convex relaxation. We then show how to perform rRLT constraint generation so as to reduce the number of inequality constraints in the relaxation, thereby making it more compact and faster to solve. We present some computational results validating our approach.

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Additional Info

Field Value
Source Lecture Notes in Computer Science
Author Cafieri, Sonia, Hansen, Pierre, Létocart, Lucas, Liberti, Leo, Messine, Frédéric
Maintainer CCSD
Last Updated May 7, 2026, 05:04 (UTC)
Created May 7, 2026, 05:04 (UTC)
Identifier hal-00938524
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor ENAC - Laboratoire de Mathématiques Appliquées, Informatique et Automatique pour l'Aérien (MAIAA) ; Ecole Nationale de l'Aviation Civile (ENAC)
coverage Bordeaux, France
creator Cafieri, Sonia
date 2012-06-07T00:00:00
harvest_object_id 740b5d96-65b5-4990-9b0c-00d30d71e406
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2026-02-19T00:00:00
relation info:eu-repo/semantics/altIdentifier/doi/10.1007/978-3-642-30850-5_8
set_spec type:COMM