D. V. Rensburg

collaborators

2 papers

math.FA2022

Solutions of the matrix equation $p (X) = A$ , with polynomial function $p (λ)$ over field extensions of $Q$

Gilbert Groenewald, Dawie Janse van Rensburg, Andre Ran +2

Let $H$ be a field with $Q \subset H \subset C$ , and let $p (λ)$ be a polynomial in $H [λ]$ , and let $A \in H^{n \times n}$ be nonderog…

math.RA2020

Square roots of H-nonnegative matrices

Dawie B. Janse van Rensburg, Madelein van Straaten, Frieda Theron +1

Roots of matrices are well-studied. The conditions for their existence are understood: The block sizes of nilpotent Jordan blocks, arranged in pairs, have to satisfy some simple al…

Solutions of the matrix equation p(X)=A, with polynomial function p(λ) over field extensions of Q

Square roots of H-nonnegative matrices

Solutions of the matrix equation $p (X) = A$ , with polynomial function $p (λ)$ over field extensions of $Q$