Matrix Norm Calculator

Given an $m\times n$ real or complex matrix $A$, this application calculates five norms of the matrix:

1-norm $\displaystyle\|A\|_{1} = \max_{1\leqslant j\leqslant n} \sum_{i=1}^{m}|a_{ij}|$
infinity-norm $\displaystyle\|A\|_{\infty} = \max_{1\leqslant i\leqslant m} \sum_{j=1}^{n}|a_{ij}|$
2-norm $\displaystyle\|A\|_{2} = \sigma_{max}(A),\quad$ the largest singular value of $A$
F-norm $\displaystyle\|A\|_{F} = \sqrt{\sum_{i=1}^{m}\sum_{j=1}^{n}|a_{ij}|^2},\quad$ the Frobenius norm of $A$
max-norm $\displaystyle\|A\|_{max} = \max_{ij}{|a_{ij}|}$
See Matrix norm at wiki for a detailed description.

See Input Data for the description of how to enter matrix or just click Example for a simple example.

Matrix Norm Calculator

Adblocker detected! Please consider reading this notice.

This website is made possible by displaying online advertisements to its visitors. Please consider supporting us by disabling your ad blocker.

Or add comnuan.com to your ad blocking whitelist.

×