Reduction of Smith Normal Form Transformation Matrices-Reference-Cited by-同舟云学术

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Reduction of Smith Normal Form Transformation Matrices

Published:2004-11-15 Issue:4 Volume:74 Page:377-388
ISSN:0010-485X
Container-title:Computing
language:en
Short-container-title:Computing

Author:

Jäger G.

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Computational Theory and Mathematics,Computer Science Applications,Numerical Analysis,Theoretical Computer Science,Software

Link

http://link.springer.com/content/pdf/10.1007/s00607-004-0104-0.pdf

Reference15 articles.

1. Gruber, P. M., Lekkerkerker, C. G.: Geometry of numbers. Amsterdam: North-Holland 1987.

2. Hafner, J. L., McCurley, K. S.: Asymptotically fast triangularization of matrices over rings. SIAM J. Comput. 20(6): 1068–1083 (1991).

3. Havas, G., Holt, D. F., Rees, S.: Recognizing badly presented ℤ-modules. Linear Algebra Appl. 192, 137–163 (1993).

4. Havas, G., Majewski, B. S.: Integer matrix diagonalization. J. Symbolic Comput. 24, 399–408 (1997).

5. Havas, G., Majewski, B. S., Matthews, K. R.: Extended gcd and Hermite normal form algorithms via lattice basis reduction. Exp. Math. 7, 125–136 (1998).

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1. Certified lattice reduction;Advances in Mathematics of Communications;2020

2. An algorithm for the arithmetic classification of multilattices;Acta Crystallographica Section A Foundations of Crystallography;2012-11-14

3. Smith meets Smith: Smith normal form of Smith matrix;Linear and Multilinear Algebra;2011-05

4. Selected Applications of LLL in Number Theory;The LLL Algorithm;2009

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