97 citations · 233 across the 14 of their papers we have counts for
16 papers
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…
Generalizations of Bounds on the Index of Convergence to Weighted Digraphs
Glenn Merlet, Thomas Nowak, Hans Schneider +1
We study sequences of optimal walks of a growing length, in weighted digraphs, or equivalently, sequences of entries of max-algebraic matrix powers with growing exponents. It is kn…
On the max-algebraic core of a nonnegative matrix
Peter Butkovic, Hans Schneider, Sergei Sergeev
The max-algebraic core of a nonnegative matrix is the intersection of column spans of all max-algebraic matrix powers. Here we investigate the action of a matrix on its core. Being…
Matrices that commute with their derivative. On a letter from Schur to Wielandt
Olga Holtz, Volker Mehrmann, Hans Schneider
We examine when a matrix whose elements are differentiable functions in one variable commutes with its derivative. This problem was discussed in a letter from Issai Schur to Helmut…
Z-matrix equations in max algebra, nonnegative linear algebra and other semirings
Peter Butkovic, Hans Schneider, Sergei Sergeev
We study the max-algebraic analogue of equations involving Z-matrices and M-matrices, with an outlook to a more general algebraic setting. We show that these equations can be solve…
On commuting matrices in max algebra and in classical nonnegative algebra
Ricardo D. Katz, Hans Schneider, Sergei Sergeev
This paper studies commuting matrices in max algebra and nonnegative linear algebra. Our starting point is the existence of a common eigenvector, which directly leads to max analog…