Enhanced basic procedures for the projection and rescaling algorithm

David Huckleberry Gutman

doi:10.1007/s11590-019-01390-4

Enhanced basic procedures for the projection and rescaling algorithm

David Huckleberry Gutman

Industrial Engineering

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Using an efficient algorithmic implementation of Caratheodory’s theorem, we propose three enhanced versions of the projection and rescaling algorithm’s basic procedures. Each of these enhanced procedures improves upon the order of complexity of its analogue in Peña and Soheili (Math Program 166(1):87–111, 2017) when the dimension of the subspace is sufficiently smaller than the dimension of its ambient space.

Original language	English
Pages (from-to)	1259-1267
Number of pages	9
Journal	Optimization Letters
Volume	13
Issue number	6
DOIs	https://doi.org/10.1007/s11590-019-01390-4
State	Published - Sep 1 2019

Keywords

Basic procedure
Linear feasibility
Perceptron
Projection and rescaling
von Neumann

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