Gernot M. Engel

activity

20102022

most citedOn sets of eigenvalues of matrices with prescribed row sums and prescribed graph

8 citations · 8 across the 3 of their papers we have counts for

collaborators

3 papers

math.RA2022

Bounding the row sum arithmetic mean by Perron roots of row-permuted matrices

Gernot Michael Engel, Sergei Sergeev

$R_{+}^{n \times n}$ denotes the set of $n \times n$ non-negative matrices. For $A \in R_{+}^{n \times n}$ let $Ω (A)$ be the set of all matrices that can be formed by permuting the element…

math.RA2013★ 8 cited

On sets of eigenvalues of matrices with prescribed row sums and prescribed graph

Gernot Michael Engel, Hans Schneider, Sergei Sergeev

Motivated by a work of Boros, Brualdi, Crama and Hoffman, we consider the sets of (i) possible Perron roots of nonnegative matrices with prescribed row sums and associated graph, a…

math.CO2010

Newton's Inequalities on a Lattice

Gernot Michael Engel

Functions that satisfy the Hadamard Fisher Inequalities also satisfy Newton's Inequalities