Enhanced basic procedures for the projection and rescaling algorithm

  • David Huckleberry GutmanEmail author
Original paper


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.


Projection and rescaling Basic procedure von Neumann Perceptron Linear feasibility 



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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of MathematicsCarnegie Mellon UniversityPittsburghUSA

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