\(\text{InfinityNorm}\)

You can use the \(\text{InfinityNorm}\) function to calculate the infinity-norm of a matrix.

You can use the \inorm backslash command to insert this function.

The following variants of this function are available:

  • \(\text{real } \text{InfinityNorm} \left ( \text{<matrix>} \right )\)

Where \(\text{<matrix>}\) is the matrix to calculate the infinity-norm of.

The infinity norm is calculated by:

\[\text{InfinityNorm} \left ( M \right ) = \text{max} \left ( \sum_{c=1}^{ N _ c } \left \vert M _ { 1, c } \right \vert , \sum_{c=1}^{ N _ c } \left \vert M _ { 2, c } \right \vert , \ldots , \sum_{c=1}^{ N _ c } \left \vert M _ { N _ r, c } \right \vert \right )\]

Where \(N _ r\) is the number of rows in matrix \(M\) and \(N _ c\) is the number of columns in matrhx \(M\).

Figure 155 shows the basic use of the \(\text{InfinityNorm}\) function.

../_images/infinity_norm_example.png

Figure 155 Example Use Of The InfinityNorm Function