SchattenNorm

SchattenNorm
Computes the Schatten p-norm of an operator
Other toolboxes required	kpNorm
Related functions	KyFanNorm TraceNorm

SchattenNorm is a function that computes the Schatten p-norm of an operator (i.e., the p-norm of its vector of singular values). It works with both full and sparse matrices.

Syntax

• NRM = SchattenNorm(X,P)

Argument descriptions

• X: An operator to have its Schatten P-norm computed.
• P: A real number ≥ 1, or Inf.

Examples

Equals the Frobenius norm when P = 2

The Shatten 2-norm is simply the Frobenius norm:

>> X = rand(2500);
>> [norm(X,'fro'), SchattenNorm(X,2)]

ans =

       1443.6       1443.6