H. Faßbender

activity

20162023

most citedLyapunov and Sylvester equations: A quadrature framework

11 citations · 23 across the 13 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.NA2019

Simultaneous hollowisation, joint numerical range, and stabilization by noise

Tobias Damm, Heike Fassbender

We consider orthogonal transformations of arbitrary square matrices to a form where all diagonal entries are equal. In our main results we treat the simultaneous transformation of…

math.NA2019

A note on the singular value decomposition of (skew-)involutory and (skew-)coninvolutory matrices

Heike Faßbender, Martin Halwaß

The singular values $σ > 1$ of an $n \times n$ involutory matrix $A$ appear in pairs $(σ, \frac{1}{σ}),$ while the singular values $σ = 1$ may appear in pairs $(1, 1)$ or by themselves.…

math.NA2019★ 11 cited

Lyapunov and Sylvester equations: A quadrature framework

Christian Bertram, Heike Faßbender

This paper introduces a novel framework for the solution of (large-scale) Lyapunov and Sylvester equations derived from numerical integration methods. Suitable systems of ordinary…