\(\text{OneNorm}\)

You can use the \(\text{OneNorm}\) to calculate the one-norm of a matrix defined by:

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

The following variants of this function are available:

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

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

The function is implemented internally for real and complex matrices. Other matrix types will be converted to real matrices prior to calculating the norm.

The one-norm is calculated by:

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

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

Figure 181 shows the basic use of the \(\text{OneNorm}\) function.

../_images/one_norm_example.png

Figure 181 Example Use Of The OneNorm Function