Timeline for Is this inequality involving the Frobenius norm right?

6 events

when toggle format	what		by	license	comment
Jun 15, 2020 at 7:27	history	edited	CommunityBot		Commonmark migration
Dec 2, 2017 at 17:17	history	edited	Rodrigo de Azevedo	CC BY-SA 3.0	Very minor edit
Nov 18, 2016 at 14:51	history	edited	Rodrigo de Azevedo	CC BY-SA 3.0	added 481 characters in body
Nov 18, 2016 at 14:19	comment	added	Federico Poloni		A short fat matrix $B$ has full row rank if and only if $\sigma_{\min}(B)>0$, so also from the criterion in my answer one can obtain that the positive constant $c(G)$ that OP asks about exists and is positive iff $B$ has full row rank. I agree with you that your answer makes the role of full row rank clearer, though.
Nov 18, 2016 at 14:14	comment	added	Federico Poloni		We are indeed saying the same thing. At least with my definition, $B$ has $\min(n,p)$ singular values, and the eigenvalues of $BB^T$ are the squares of the singular values of $B$, plus $n-p$ zeros if $n\geq p$.
Nov 18, 2016 at 13:56	history	answered	Rodrigo de Azevedo	CC BY-SA 3.0