Technical Report CS0417

TR#:CS0417
Class:CS
Title: Computing the Hermite Normal form on an Integral Matrix
Authors: Michael Kaminski and Azaria Paz
PDFCS0417.pdf
Abstract: We present an algorithm for computing the Hermite normal form of an n × n integral matrix M in O(n3 + n2 lg|M|) arithmetic operations, where |M| is the maximum of the absolute values of the entries of M. The intermediate results of the computation, in absolute value, do not exceed nn |M|2n. The algorithm is based on reducing the results of the computation modulo det M.

CopyrightThe above paper is copyright by the Technion, Author(s), or others. Please contact the author(s) for more information

Remark: Any link to this technical report should be to this page (http://www.cs.technion.ac.il/users/wwwb/cgi-bin/tr-info.cgi/1986/CS/CS0417), rather than to the URL of the PDF files directly. The latter URLs may change without notice.

To the list of the CS technical reports of 1986
To the main CS technical reports page

Computer science department, Technion
admin