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Miscellaneous
Hermite basis
Reading time: 1minComputes the Hermite decomposition of a square matrix with integer coefficients. Given a square nonsingular integer matrix A, there exists an n×n unimodular matrix U and an n×n matrix H (known as the Hermite normal form) such that AU=H.
Syntax
hermite_basis(Matrix)
Description
Given a square matrix with integers coefficients, returns a list with two elements: the Hermite normal form H and the unimodular matrix U. Some options are available.
Options
Below is a complete list of options that may be used in the hermite_basis function.
| Option | Description | Format | Default value |
|---|---|---|---|
| method | We can choose the method to be used from the following: columns, rows. |
{method="rows"} |
columns |