3 papers
math.FA2022
An interlacing result for Hermitian matrices in Minkowski space
D. B. Janse van Rensburg, A. C. M. Ran, M. van Straaten
In this paper we will look at the well known interlacing problem, but here we consider the result for Hermitian matrices in the Minkowski space, an indefinite inner product space w…
math.FA2021
th roots of -selfadjoint matrices over the quaternions
D. B. Janse van Rensburg, A. C. M. Ran, F. Theron +1
The complex matrix representation for a quaternion matrix is used in this paper to find necessary and sufficient conditions for the existence of an -selfadjoint th root of a…
math.FA2020
th roots of -selfadjoint matrices
G. J. Groenewald, D. B. Janse van Rensburg, A. C. M. Ran +2
In this paper necessary and sufficient conditions are given for the existence of an -selfadjoint th root of a given -selfadjoint matrix. A construction is given of such an…