3 ms·
Singular values of a transform are defined using the "operator norm" of the transform. The norm is defined in terms of the inner product. On the other hand, e
by mgraczyk 6y ago
Singular values of a transform are defined using the "operator norm" of the transform.
The norm is defined in terms of the inner product.
On the other hand, eigenvalues are defined with using only the transform and scalar multiplication, which does not require an inner product.
- tsbinz 6y agoI'm not sure you need to do that (define singular values via the operator norm), but one thing I don't see a solution for is getting rid of the requirement of the inner product for the definition of the adjoint.