74 citations · 255 across the 21 of their papers we have counts for
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math.NA2017
Block diagonal dominance of matrices revisited: bounds for the norms of inverses and eigenvalue inclusion sets
Carlos Echeverría, Jörg Liesen, Reinhard Nabben
We generalize the bounds on the inverses of diagonally dominant matrices obtained in [16] from scalar to block tridiagonal matrices. Our derivations are based on a generalization o…
math.CV2017★ 8 cited
The maximum number of zeros of revisited
Jörg Liesen, Jan Zur
Generalizing several previous results in the literature on rational harmonic functions, we derive bounds on the maximum number of zeros of functions $f(z) = \frac{p(z)}{q(z)} - \ov…
math.CV2017★ 7 cited
How constant shifts affect the zeros of certain rational harmonic functions
Jörg Liesen, Jan Zur
We study the effect of constant shifts on the zeros of rational harmomic functions $f(z) = r(z) - \conj{z}$. In particular, we characterize how shifting through the caustics of …