Hermite normal form (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Hermite normal form" in English language version.

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Grötschel, Martin; Lovász, László; Schrijver, Alexander (1993), Geometric algorithms and combinatorial optimization, Algorithms and Combinatorics, vol. 2 (2nd ed.), Springer-Verlag, Berlin, doi:10.1007/978-3-642-78240-4, ISBN 978-3-642-78242-8, MR 1261419

books.google.com

Adkins, William; Weintraub, Steven (2012-12-06). Algebra: An Approach via Module Theory. Springer Science & Business Media. p. 306. ISBN 9781461209232.
Mader, A. (2000-03-09). Almost Completely Decomposable Groups. CRC Press. ISBN 9789056992255.
Micciancio, Daniele; Goldwasser, Shafi (2012-12-06). Complexity of Lattice Problems: A Cryptographic Perspective. Springer Science & Business Media. ISBN 9781461508977.
Bouajjani, Ahmed; Maler, Oded (2009-06-19). Computer Aided Verification: 21st International Conference, CAV 2009, Grenoble, France, June 26 - July 2, 2009, Proceedings. Springer Science & Business Media. ISBN 9783642026577.
Martin, Richard Kipp (2012-12-06). Large Scale Linear and Integer Optimization: A Unified Approach. Springer Science & Business Media. ISBN 9781461549758.
Schrijver, Alexander (1998-07-07). Theory of Linear and Integer Programming. John Wiley & Sons. ISBN 9780471982326.
Cohen, Henri (2013-04-17). A Course in Computational Algebraic Number Theory. Springer Science & Business Media. ISBN 9783662029459.
Grötschel, Martin; Lovász, László; Schrijver, Alexander (1993), Geometric algorithms and combinatorial optimization, Algorithms and Combinatorics, vol. 2 (2nd ed.), Springer-Verlag, Berlin, doi:10.1007/978-3-642-78240-4, ISBN 978-3-642-78242-8, MR 1261419
Martin, Richard Kipp (2012-12-06). "Chapter 4.2.4 Hermite Normal Form". Large Scale Linear and Integer Optimization: A Unified Approach. Springer Science & Business Media. ISBN 9781461549758.
Bremner, Murray R. (2011-08-12). "Chapter 14: The Hermite Normal Form". Lattice Basis Reduction: An Introduction to the LLL Algorithm and Its Applications. CRC Press. ISBN 9781439807040.

doi.org

Hung, Ming S.; Rom, Walter O. (1990-10-15). "An application of the Hermite normal form in integer programming". Linear Algebra and Its Applications. 140: 163–179. doi:10.1016/0024-3795(90)90228-5.
Grötschel, Martin; Lovász, László; Schrijver, Alexander (1993), Geometric algorithms and combinatorial optimization, Algorithms and Combinatorics, vol. 2 (2nd ed.), Springer-Verlag, Berlin, doi:10.1007/978-3-642-78240-4, ISBN 978-3-642-78242-8, MR 1261419
Kannan, R.; Bachem, A. (1979-11-01). "Polynomial Algorithms for Computing the Smith and Hermite Normal Forms of an Integer Matrix" (PDF). SIAM Journal on Computing. 8 (4): 499–507. doi:10.1137/0208040. ISSN 0097-5397.
Havas, George; Majewski, Bohdan S.; Matthews, Keith R. (1998). "Extended GCD and Hermite normal form algorithms via lattice basis reduction". Experimental Mathematics. 7 (2): 130–131. doi:10.1080/10586458.1998.10504362. ISSN 1058-6458. S2CID 263873475.

ethz.ch

ifor.math.ethz.ch

"Euclidean Algorithm and Hermite Normal Form". 2 March 2010. Archived from the original on 7 August 2016. Retrieved 25 June 2015.

mathworks.com

"Hermite normal form of a matrix - MuPAD". www.mathworks.com. Archived from the original on 2019-02-17. Retrieved 2016-06-22.

projecteuclid.org

Havas, George; Majewski, Bohdan S.; Matthews, Keith R. (1998). "Extended GCD and Hermite normal form algorithms via lattice basis reduction". Experimental Mathematics. 7 (2): 130–131. doi:10.1080/10586458.1998.10504362. ISSN 1058-6458. S2CID 263873475.

sagemath.org

doc.sagemath.org

"Dense matrices over the integer ring — Sage Reference Manual v7.2: Matrices and Spaces of Matrices". doc.sagemath.org. Retrieved 2016-06-22.

semanticscholar.org

api.semanticscholar.org

Havas, George; Majewski, Bohdan S.; Matthews, Keith R. (1998). "Extended GCD and Hermite normal form algorithms via lattice basis reduction". Experimental Mathematics. 7 (2): 130–131. doi:10.1080/10586458.1998.10504362. ISSN 1058-6458. S2CID 263873475.

tamu.edu

math.tamu.edu

Kannan, R.; Bachem, A. (1979-11-01). "Polynomial Algorithms for Computing the Smith and Hermite Normal Forms of an Integer Matrix" (PDF). SIAM Journal on Computing. 8 (4): 499–507. doi:10.1137/0208040. ISSN 0097-5397.

ucsd.edu

cseweb.ucsd.edu

Micciancio, Daniele. "Basic Algorithms" (PDF). Retrieved 25 June 2016.

uow.edu.au

ro.uow.edu.au

Evangelos, Tourloupis, Vasilios (2013-01-01). Hermite normal forms and its cryptographic applications. University of Wollongong Thesis Collection 1954-2016 (Thesis). University of Wollongong.{{cite thesis}}: CS1 maint: multiple names: authors list (link)

web.archive.org

"Hermite normal form of a matrix - MuPAD". www.mathworks.com. Archived from the original on 2019-02-17. Retrieved 2016-06-22.
"Euclidean Algorithm and Hermite Normal Form". 2 March 2010. Archived from the original on 7 August 2016. Retrieved 25 June 2015.

wolfram.com

mathworld.wolfram.com

Weisstein, Eric W. "Hermite Normal Form". mathworld.wolfram.com. Retrieved 2016-06-22.

reference.wolfram.com

Wolfram Research (2007). "HermiteDecomposition". Retrieved 6 March 2025. HermiteDecomposition[m] gives the Hermite normal form decomposition of an integer matrix m.

worldcat.org

search.worldcat.org

Kannan, R.; Bachem, A. (1979-11-01). "Polynomial Algorithms for Computing the Smith and Hermite Normal Forms of an Integer Matrix" (PDF). SIAM Journal on Computing. 8 (4): 499–507. doi:10.1137/0208040. ISSN 0097-5397.
Havas, George; Majewski, Bohdan S.; Matthews, Keith R. (1998). "Extended GCD and Hermite normal form algorithms via lattice basis reduction". Experimental Mathematics. 7 (2): 130–131. doi:10.1080/10586458.1998.10504362. ISSN 1058-6458. S2CID 263873475.