Extension of the Bessmertnyĭ realization theorem for rational functions of several complex variables

A Stefan, A Welters - Complex Analysis and Operator Theory, 2021 - Springer
We prove a realization theorem for rational functions of several complex variables which
extends the main theorem of Bessmertnyĭ (in: Alpay, Gohberg, Vinnikov (eds) Interpolation …

Schur Complement Algebra and Operations with Applications in Multivariate Functions, Realizations, and Representations

AD Stefan - 2021 - repository.fit.edu
We provide a new approach to the following multidimensional realizability problem: Can an
arbitrary square matrix, whose entries are from the field of multivariate rational functions over …

Matrix monotonicity and concavity of the principal pivot transform

K Beard, A Welters - Linear Algebra and its Applications, 2024 - Elsevier
We prove the (generalized) principal pivot transform is matrix monotone, in the sense of the
Löwner ordering, under minimal hypotheses. This improves on the recent results of Pascoe …

On the spectral theory of linear differential-algebraic equations with periodic coefficients

B Alshammari, A Welters - Analysis and Mathematical Physics, 2023 - Springer
In this paper, we consider the spectral theory of linear differential-algebraic equations
(DAEs) for periodic DAEs in canonical form, ie, J df dt+ H f= λ W f, where J is a constant skew …

On a Theory of Broadband Absorption Suppression in Magnetic Composites

A Welters… - 2018 - apps.dtic.mil
The scientific focus and main objective of the PIs research project was on the development
of an effective theory of broadband absorption suppression in magnetic composites. During …