activity
20052022
most citedAbstract interpolation in vector-valued de Branges-Rovnyak spaces

9 citations · 30 across the 18 of their papers we have counts for

collaborators

18 papers

math.FA2022

Convex invertible cones and Nevanlinna-Pick interpolation: The suboptimal case

Sanne ter Horst, Alma van der Merwe

Nevanlinna-Pick interpolation developed from a topic in classical complex analysis to a useful tool for solving various problems in control theory and electrical engineering. Over…

math.FA2021

Linear matrix maps for which positivity and complete positivity coincide

Sanne ter Horst, Alma Naude

By the Choi matrix criteria it is easy to determine if a specific linear matrix map is completely positive, but to establish whether a linear matrix map is positive is much less st…

math.OC2020

The convex invertible cone structure of positive real odd rational matrix functions

Sanne ter Horst, Alma Naudé

Positive real odd matrix functions, often referred to as positive real lossless matrix functions, play an important role in many applications in multi-port electrical systems. In t…

math.FA2018★ 6 cited

A Toeplitz-like operator with rational symbol having poles on the unit circle II: the spectrum

G. J. Groenewald, S. ter Horst, J. Jaftha +1

This paper is a continuation of our study of a class of Toeplitz-like operators with a rational symbol which has a pole on the unit circle. A description of the spectrum and its va…

math.FA2018★ 2 cited

The discrete twofold Ellis-Gohberg inverse problem

S. ter Horst, M. A. Kaashoek, F. van Schagen

In this paper a twofold inverse problem for orthogonal matrix functions in the Wiener class is considered. The scalar-valued version of this problem was solved by Ellis and Gohberg…

math.FA2018★ 1 cited

The twofold Ellis-Gohberg inverse problem in an abstract setting and applications

S. ter Horst, M. A. Kaashoek, F. van Schagen

In this paper we consider a twofold Ellis-Gohberg type inverse problem in an abstract *-algebraic setting. Under natural assumptions, necessary and sufficient conditions for the ex…