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Frobenius Norm (Frobenius norm) _ Mathematical Method/Algorithm design

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The Frobenius norm is P = 2, which is called the Frobenius norm (Frobenius norm) or the Hilbert-Schmitt norm (Hilbert–schmidt norm), but the latter term is usually only used in Uchlbert space. This norm can be defined in different ways:

Here A * represents the conjugate transpose of a, σi is the singular value of a, and the trace function is used. The Frobenius norm is very similar to the Euclidean norm on the Kn, which comes from an inner product of space on all matrices.

The Frobenius van Norm is subject to multiplication and is useful in numerical linear algebra. This norm is usually easier to compute than the induction norm.

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Related Keywords:
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