Best Approximate Solutions of Inconsistent Linear Inequality Systems

Please use this identifier to cite or link to this item: http://hdl.handle.net/10045/75227

Información del item - Informació de l'item - Item information
Title:	Best Approximate Solutions of Inconsistent Linear Inequality Systems
Authors:	Goberna, Miguel A. \| Hiriart-Urruty, Jean-Baptiste \| López Cerdá, Marco A.
Research Group/s:	Laboratorio de Optimización (LOPT)
Center, Department or Service:	Universidad de Alicante. Departamento de Matemáticas
Keywords:	Linear inequality systems \| Best uniform solutions \| Best L1 solutions \| Best least squares solutions
Knowledge Area:	Estadística e Investigación Operativa
Issue Date:	Jun-2018
Publisher:	Springer Singapore
Citation:	Vietnam Journal of Mathematics. 2018, 46(2): 271-284. doi:10.1007/s10013-018-0275-1
Abstract:	This paper is intended to characterize three types of best approximate solutions for inconsistent linear inequality systems with an arbitrary number of constraints. It also gives conditions guaranteeing the existence of best uniform solutions and discusses potential applications.
Sponsor:	This work was partially supported by the MINECO of Spain and ERDF of EU, Grant MTM2014-59179-C2-1-P, and by the Australian Research Council, Project DP160100854.
URI:	http://hdl.handle.net/10045/75227
ISSN:	2305-221X (Print) \| 2305-2228 (Online)
DOI:	10.1007/s10013-018-0275-1
Language:	eng
Type:	info:eu-repo/semantics/article
Rights:	© Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd. 2018
Peer Review:	si
Publisher version:	https://doi.org/10.1007/s10013-018-0275-1
Appears in Collections:	INV - LOPT - Artículos de Revistas

Files in This Item:

Files in This Item:
File	Description	Size	Format
2018_Goberna_etal_VietnamJMath_final.pdf	Versión final (acceso restringido)	346,47 kB	Adobe PDF	Open Request a copy
2018_Goberna_etal_VietnamJMath_preprint.pdf	Preprint (acceso abierto)	1,03 MB	Adobe PDF	Open Preview Close preview