On the Frobenius norm of the inverse of a non-negative matrix
On the Frobenius norm of the inverse of a non-negative matrix
We prove a new lower bound for the Frobenius norm of the inverse of an non-negative matrix. This bound is only a modest improvement over previous results, but is sufficient for fully resolving a conjecture of Harwitz and Sloane, commonly referred to as the S-matrix conjecture, for all dimensions larger …