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.
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Funding
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.
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To Michel Théra in occasion of his 70th anniversary.
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Goberna, M.A., Hiriart-Urruty, JB. & López, M.A. Best Approximate Solutions of Inconsistent Linear Inequality Systems. Vietnam J. Math. 46, 271–284 (2018). https://doi.org/10.1007/s10013-018-0275-1
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DOI: https://doi.org/10.1007/s10013-018-0275-1