[Dune] [#909] Method 'infinity_norm' does not actually compute the infinity norm
Dune
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Wed Apr 27 02:24:58 CEST 2011
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The following task has a new comment added:
FS#909 - Method 'infinity_norm' does not actually compute the infinity norm
User who did this - Carsten Gräser (Carsten)
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In my opinion the implemented behaviour is exactly what one would expect:
For a matrix M the norm ||M|| does in general denote the operator norm induced by the vector norm ||.||. In case of the maximum norm this is the so called row-sum norm, which is what is implemented.
Similarly one would not expect |M|_2 to be the frobenius norm but the operator norm associated with the 2-norm, i.e., (lambda_max(MM^T))^1/2.
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