Extension of the Bessmertnyĭ realization theorem for rational functions of several complex variables
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 …
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 …
arbitrary square matrix, whose entries are from the field of multivariate rational functions over …
Matrix monotonicity and concavity of the principal pivot transform
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 …
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 …
(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 …
of an effective theory of broadband absorption suppression in magnetic composites. During …