Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


A bound on solutions of linear integer equalities and inequalities

Authors: Joachim von zur Gathen and Malte Sieveking
Journal: Proc. Amer. Math. Soc. 72 (1978), 155-158
MSC: Primary 52A40; Secondary 15A39, 90C10
MathSciNet review: 0500555
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Consider a system of linear equalities and inequalities with integer coefficients. We describe the set of rational solutions by a finite generating set of solution vectors. The entries of these vectors can be bounded by the absolute value of a certain subdeterminant. The smallest integer solution of the system has coefficients not larger than this subdeterminant times the number of indeterminates. Up to the latter factor, the bound is sharp.

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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 52A40, 15A39, 90C10

Retrieve articles in all journals with MSC: 52A40, 15A39, 90C10

Additional Information

PII: S 0002-9939(1978)0500555-0
Article copyright: © Copyright 1978 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia