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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On the boundedness of an iterative procedure for solving a system of linear inequalities
HTML articles powered by AMS MathViewer

by H. D. Block and S. A. Levin
Proc. Amer. Math. Soc. 26 (1970), 229-235
DOI: https://doi.org/10.1090/S0002-9939-1970-0265383-5
PDF | Request permission

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
    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.
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 15.50, 65.00
  • Retrieve articles in all journals with MSC: 15.50, 65.00
Bibliographic Information
  • © Copyright 1970 American Mathematical Society
  • 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