| TR#: | CS0417 |
| Class: | CS |
| Title: | Computing the Hermite Normal form on an Integral Matrix |
| Authors: | Michael Kaminski and Azaria Paz |
| CS0417.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. |
| Copyright | The above paper is copyright by the Technion, Author(s), or others. Please contact the author(s) for more information |
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