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A note on the hermite basis computation of large integer matrices

Published:03 August 2003Publication History

ABSTRACT

A new algorithm is given and analyzed for the computation of the Hermite basis of a large integer matrix whose HNF has small essential part. The algorithm improves the results from [3] by dropping two key requirements on the matrix considered---sparsity and small kernel dimension---at the cost of relying on small determinant size.

References

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  1. A note on the hermite basis computation of large integer matrices

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    • Published in

      cover image ACM Conferences
      ISSAC '03: Proceedings of the 2003 international symposium on Symbolic and algebraic computation
      August 2003
      284 pages
      ISBN:1581136412
      DOI:10.1145/860854
      • General Chair:
      • Hoon Hong

      Copyright © 2003 ACM

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      Association for Computing Machinery

      New York, NY, United States

      Publication History

      • Published: 3 August 2003

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      Acceptance Rates

      ISSAC '03 Paper Acceptance Rate36of68submissions,53%Overall Acceptance Rate395of838submissions,47%

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