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matrix p-norm

Keywords: 
frobenius
Type of Math Object: 
Definition
Major Section: 
Reference
Groups audience: 

Mathematics Subject Classification

15A60 no label found00A69 no label found

Comments

I think the indexes are wrong in the definition of the infinity-norm.
Am I right?
D.A.

I think the entry is correct as it stands: the infinity norm is the largest row sum. Swapping the indices would make it equal to the 1 norm.

Lachlan

To Whom It May Concern,

I have to agree with Lachlan. You would not swap the indices, you would swap their upper bounds. The sum should be over n, and i should be bounded thusly: 1<=i<=m. Otherwise, the sum will not account for all the elements of the ith row in the event that m<n, and in the evaluation of the maximum, all the rows will not be accounted for in the event that n<m.

James

In A_\infinity norm , the bounds need correction, as has already been pointed some other users. Thanks.

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