Engineering↗
Applications of the Hermite Normal Form
Solving integer linear systems, computing indices and intersections, and testing module membership using the Hermite normal form.
Tag
Hermite Normal Form
Every page in the KEVOS library tagged Hermite Normal Form. 6 pages.
Engineering↗
Coefficient Explosion in Hermite Normal Form Computation
Why intermediate entries in normal form computation grow so violently, how to recognise it, and the three standard mitigations.
Engineering↗
LLL-Based Hermite Normal Form Computation
Using lattice reduction to control entry growth during Hermite normal form computation, and when this beats the modular approach.
Engineering↗
Module Representation by Hermite Normal Form
Representing ideals and modules as Hermite normal form matrices relative to an integral basis, with a common denominator.
Engineering↗
The Hermite Normal Form Algorithm
The Hermite normal form, the classical column-reduction algorithm, and the modular variant that bounds entry growth.
Engineering↗
The Hermite Normal Form
Definition and uniqueness of the Hermite normal form, algorithms for computing it, entry explosion and its remedies, and its role as the representation of choice for modules and…
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