Mar 13, 2021 · The Frobenius inner product is directly related to the Frobenius norm, which is a measure of a matrix's "size" or "magnitude" and is defined as the square root of the Frobenius …

I find the Frobenius Method quite beautiful, and I would like to be able to apply it. In particular there are three questions in my text book that I have attempted. In each question my limited

Dec 15, 2011 · The Frobenius homomorphism is often called the Frobenius endomorphism, since "endomorphism" is a more specific term meaning "map from something to itself". However, I'll …

The Frobenius norm is at most $\sqrt {r}$ as much as the spectral radius, and this is probably tight (see the section on equivalence of norms in Wikipedia). Note that the Schatten $2$ -norm is …

Why is the Frobenius norm of a matrix greater than or equal to the spectral norm? Ask Question Asked 13 years ago Modified 3 years, 4 months ago

Feb 8, 2020 · Frobenius norm and operator norm inequality Ask Question Asked 5 years, 10 months ago Modified 5 years, 10 months ago

Frobenius Inequality Rank Ask Question Asked 12 years, 3 months ago Modified 1 year, 1 month ago

Apr 18, 2016 · Frobenius Norm and Relation to Eigenvalues Ask Question Asked 9 years, 8 months ago Modified 5 years, 5 months ago

Aug 21, 2016 · Relation between Frobenius norm and trace Ask Question Asked 9 years, 4 months ago Modified 4 years, 1 month ago

Now I wonder about the equality cases in those inequalities. It is common knowledge that In the Sylvester inequality, equality holds if and only if $$\ker (A) \subseteq \operatorname {Im} …