Difference between revisions of "KyFanNorm"
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|desc=Computes the [[Ky Fan norm|Ky Fan k-norm]] of an operator | |desc=Computes the [[Ky Fan norm|Ky Fan k-norm]] of an operator | ||
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| + | |rel=[[SchattenNorm]]<br />[[TraceNorm]] | ||
|upd=December 1, 2012 | |upd=December 1, 2012 | ||
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Revision as of 17:56, 1 December 2012
| KyFanNorm | |
| Computes the Ky Fan k-norm of an operator | |
| Other toolboxes required | kpNorm |
|---|---|
| Related functions | SchattenNorm TraceNorm |
KyFanNorm is a function that computes the Ky Fan k-norm of an operator (i.e., the sum of its k largest singular values). It works with both full and sparse matrices.
Syntax
- NRM = KyFanNorm(X,K)
Argument descriptions
- X: An operator to have its Ky Fan K-norm computed.
- K: A positive integer.
Examples
Equals the operator norm when K = 1 (but faster!)
The Ky Fan 1-norm is just the operator norm, which is implemented in MATLAB by the norm function. However, the KyFanNorm function is typically faster than the norm function:
>> X = rand(2500);
>> tic; KyFanNorm(X,1)
toc
ans =
1250.2
Elapsed time is 0.861377 seconds.
>> tic; norm(X)
toc
ans =
1250.2
Elapsed time is 4.288788 seconds.