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

H. D. Block; S. A. Levin

doi:10.1090/S0002-9939-1970-0265383-5

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

H. D. Block, S. A. Levin

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

24 Scopus citations

Abstract

In this paper it is proved that the perceptron errorcorrection procedure stays bounded, even when no solutionto the system of linear inequalities exists. This supplements earlier papers by B. Efron and by M. Minsky and S. Papert.

Original language	English (US)
Pages (from-to)	229-235
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	26
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-1970-0265383-5
State	Published - 1970
Externally published	Yes

All Science Journal Classification (ASJC) codes

Applied Mathematics
Mathematics(all)

Keywords

Iterative methods
Linear inequalities
Perceptron error-correction procedure

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10.1090/S0002-9939-1970-0265383-5

Cite this

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title = "On the boundedness of an iterative procedure for solving a system of linear inequalities",

abstract = "In this paper it is proved that the perceptron errorcorrection procedure stays bounded, even when no solutionto the system of linear inequalities exists. This supplements earlier papers by B. Efron and by M. Minsky and S. Papert.",

keywords = "Iterative methods, Linear inequalities, Perceptron error-correction procedure",

author = "Block, {H. D.} and Levin, {S. A.}",

year = "1970",

doi = "10.1090/S0002-9939-1970-0265383-5",

language = "English (US)",

volume = "26",

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T1 - On the boundedness of an iterative procedure for solving a system of linear inequalities

AU - Block, H. D.

AU - Levin, S. A.

PY - 1970

Y1 - 1970

N2 - In this paper it is proved that the perceptron errorcorrection procedure stays bounded, even when no solutionto the system of linear inequalities exists. This supplements earlier papers by B. Efron and by M. Minsky and S. Papert.

AB - In this paper it is proved that the perceptron errorcorrection procedure stays bounded, even when no solutionto the system of linear inequalities exists. This supplements earlier papers by B. Efron and by M. Minsky and S. Papert.

KW - Iterative methods

KW - Linear inequalities

KW - Perceptron error-correction procedure

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DO - 10.1090/S0002-9939-1970-0265383-5

M3 - Article

AN - SCOPUS:84968515689

SN - 0002-9939

VL - 26

SP - 229

EP - 235

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 2

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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