CARAT Introduction / Programs / Mink_red

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## Program Mink_red

### Usage

    Mink_red 'file' [-t]

file: matrix_TYP containing a set of symmetric positive definite matrices.

### Description

Reduces all matrices in file by the Minkowski reduction algorithm.

### Options

    -t    : Give the transforming matrices as well, i.e. matrices
            T satisfying T^tr * F_old * T = F_new.

### Remarks

WARNING: The algorithm might be very slow for some examples. In almost all examples it pays to reduce the matrices by Pair_red before.

See also for Conj_bravais, Pair_red and Rform.

### Examples

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