Frobenius product
If and are real matrices, their Frobenius product is defined as
It is easily seen that is equal to the trace of the matrix and , and that the Frobenius product is an inner product of the vector space formed by the matrices; it the Frobenius norm of this vector space.
Title | Frobenius product |
Canonical name | FrobeniusProduct |
Date of creation | 2013-03-22 18:11:34 |
Last modified on | 2013-03-22 18:11:34 |
Owner | pahio (2872) |
Last modified by | pahio (2872) |
Numerical id | 8 |
Author | pahio (2872) |
Entry type | Definition |
Classification | msc 15A60 |
Classification | msc 15A63 |
Synonym | Frobenius inner product |
Related topic | NormedVectorSpace |
Related topic | FrobeniusMatrixNorm |
Related topic | Product |
Defines | Frobenius norm |