# Matrix norm Calculator

## Calculates the L1 norm, the Euclidean (L2) norm and the Maximum(L infinity) norm of a matrix.

 $norm\ on\ Matrix\\\hspace{30} L^1\ =\max_{\small 1\le j\le m}(\sum_{i=1}^n |a_{ij}|)\\\hspace{30} L^2\ =\sigma_{max}(A)\\\hspace{30} L^F\ =\sqrt{\sum_{i} \sum_{j} |a_{ij}|^2}\\\hspace{30} L^\infty\ =\max_{\small 1\le i\le n}(\sum_{j=1}^m |a_{ij}|)\\$
 matrix A {aij} 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit Matrix norm
Matrix norm
 [1-1] /1 Disp-Num5103050100200
[1]  2018/01/20 05:51   Male / 50 years old level / An engineer / Useful /
Bug report
The text definition of the L2 norm is incorrect. The calculated result is correct though.

Is says it''s the maximum eigenvalue of A, that is lambda_max(A).
Instead it should say that it''s the largest spectral radius, that is sigma_max(A).
Equivalently that''s the largest eigenvalue of A^T.A (or A^* A for complex matrices).
See e.g. https://en.wikipedia.org/wiki/Matrix_norm
from Keisan
We have fixed it.

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