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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the boundedness of an iterative procedure for solving a system of linear inequalities


Authors: H. D. Block and S. A. Levin
Journal: Proc. Amer. Math. Soc. 26 (1970), 229-235
MSC: Primary 15.50; Secondary 65.00
DOI: https://doi.org/10.1090/S0002-9939-1970-0265383-5
MathSciNet review: 0265383
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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper it is proved that the perceptron error-correction procedure stays bounded, even when no solution to the system of linear inequalities exists. This supplements earlier papers by B. Efron and by M. Minsky and S. Papert.

References [Enhancements On Off] (What's this?)

    B. Efron, The perceptron correction procedure in nonseparable situations, Rome Air Development Center Technical Documentary Report RADC-TDR-63-533, February 1964. M. Minsky and S. Papert, Perceptrons, M.I.T. Press, Cambridge, Mass., 1969.

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Keywords: Perceptron error-correction procedure, linear inequalities, iterative methods
Article copyright: © Copyright 1970 American Mathematical Society