The Hermite Normal Form

2011 ◽  
pp. 239-278
Keyword(s):  
Normal Form ◽  
Hermite Normal Form

scholarly journals A Note on Decomposable and Reducible Integer Matrices

Symmetry ◽  
2021 ◽  
Vol 13 (7) ◽  
pp. 1125
Author(s):  
Carlos Marijuán ◽  
Ignacio Ojeda ◽  
Alberto Vigneron-Tenorio
Keyword(s):  
Normal Form ◽  
Linear Algebra ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Integer Matrix ◽  
Hermite Normal Form ◽  
Necessary And Sufficient

We propose necessary and sufficient conditions for an integer matrix to be decomposable in terms of its Hermite normal form. Specifically, to each integer matrix, we associate a symmetric integer matrix whose reducibility can be efficiently determined by elementary linear algebra techniques, and which completely determines the decomposability of the first one.

Hermite Normal Form Computation Using Modulo Determinant Arithmetic

1987 ◽  
Vol 12 (1) ◽  
pp. 50-59 ◽  
Author(s):  
P. D. Domich ◽  
R. Kannan ◽  
L. E. Trotter
Keyword(s):  
Normal Form ◽  
Hermite Normal Form

Storage efficient algorithm for Hermite Normal Form using LLL

2021 ◽  
Vol 613 ◽  
pp. 183-200
Author(s):  
Gook Hwa Cho ◽  
Hyang-Sook Lee ◽  
Seongan Lim ◽  
Yoonjeong Kim
Keyword(s):  
Normal Form ◽  
Efficient Algorithm ◽  
Hermite Normal Form

scholarly journals On random nonsingular Hermite Normal Form

2016 ◽  
Vol 164 ◽  
pp. 66-86 ◽  
Author(s):  
Gengran Hu ◽  
Yanbin Pan ◽  
Renzhang Liu ◽  
Yuyun Chen
Keyword(s):  
Normal Form ◽  
Hermite Normal Form

scholarly journals Bricklaying and the Hermite Normal Form

1993 ◽  
Vol 100 (3) ◽  
pp. 242 ◽  
Author(s):  
William J. Gilbert
Keyword(s):  
Normal Form ◽  
Hermite Normal Form
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