15 citations · 34 across the 19 of their papers we have counts for
Showing 2017Show all
3 papers · 1 filter
math.NT2017★ 6 cited
Generalized eigenvalue problems for meet and join matrices on semilattices
Pauliina Ilmonen, Vesa Kaarnioja
We study generalized eigenvalue problems for meet and join matrices with respect to incidence functions on semilattices. We provide new bounds for generalized eigenvalues of meet m…
math.RA2017
On the structure of join tensors with applications to tensor eigenvalue problems
Vesa Kaarnioja
We investigate the structure of join tensors, which may be regarded as the multivariable extension of lattice-theoretic join matrices. Explicit formulae for a polyadic decompositio…
math.NA2017★ 1 cited
Computation of extremal eigenvalues of high-dimensional lattice-theoretic tensors via tensor-train decompositions
Harri Hakula, Pauliina Ilmonen, Vesa Kaarnioja
This paper lies in the intersection of several fields: number theory, lattice theory, multilinear algebra, and scientific computing. We adapt existing solution algorithms for tenso…