I'm a bit confused about what an operator norm is.

Can someone explain it to me using a simple matrix?

What value would you use for the Euclidean norm (x) when it is multiplied by A? (before taking the supremum).

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- Apr 16th 2010, 08:13 AMnotgoodatmathOperator norm
I'm a bit confused about what an operator norm is.

Can someone explain it to me using a simple matrix?

What value would you use for the Euclidean norm (x) when it is multiplied by A? (before taking the supremum). - Apr 16th 2010, 08:32 PMGiraffro
I'm not sure which definition you're using for the operator norm, but the definition I use is if are normed vector spaces and is linear and bounded, define . I assume you're using the formula .

Define and let be given such that . Then . Therefore .