Maximum Absolute Row Sum Norm

new example

φ

A = 

3	2
-2	2



||A|| = 5.

v = {-1.,-1.} A . v = {-5.,0.}

This Demonstration shows how to find the maximum absolute row sum norm of any

2×2

matrix

A

using the definition

||A

||

∞

=max

||Ax

||

∞

||x||=1

. The graphic shows the vectors

x

with

||x

||

∞

=1

and their transformation vector

Ax

(red arrows). The green arrows show the vector

v

that gives the maximum and its transformation by

A

.