FLINT3.7.0-dev
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gr_mat_norm_max, gr_mat_norm_1, gr_mat_norm_inf, gr_mat_norm_frobenius

Synopsis#include <flint/gr_mat.h>
int gr_mat_norm_max(gr_ptr res, const gr_mat_t mat, gr_ctx_t ctx)source
int gr_mat_norm_1(gr_ptr res, const gr_mat_t mat, gr_ctx_t ctx)source
int gr_mat_norm_inf(gr_ptr res, const gr_mat_t mat, gr_ctx_t ctx)source
int gr_mat_norm_frobenius(gr_ptr res, const gr_mat_t mat, gr_ctx_t ctx)source

Set res to the max norm max⁡i,j∣aij∣\max_{i,j} |a_{ij}|, the 1-norm (largest absolute column sum) max⁡j∑i∣aij∣\max_j \sum_i |a_{ij}|, the ∞\infty-norm (largest absolute row sum) max⁡i∑j∣aij∣\max_i \sum_j |a_{ij}|, or the Frobenius norm (∑i,j∣aij∣2)1/2(\sum_{i,j} |a_{ij}|^2)^{1/2}. The ring must provide absolute values, comparisons and (for the Frobenius norm) square roots; the result is an element of RR.

Cite this page

The FLINT team, “gr_mat_norm_max, gr_mat_norm_1, gr_mat_norm_inf, gr_mat_norm_frobenius (gr_mat.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/gr_mat/gr_mat_norm_max.html (generated 2026-11-02).