Upper bounds for the spectral radius of the n×n Hilbert matrix
Peter Otte · Pacific Journal of Mathematics · 2005
We derive upper bounds for the spectral radius of the n × n Hilbert matrix.The key idea is to write the Hilbert matrix as integral operator with positive kernel function and then to use a Wielandt-type min-max principle for the spectral radius.Choosing special trial functions yields a new bound that improves the best bound known heretofore.