2 papers
math.NT2023
Galois groups and rational solutions of
G. J. Groenewald, G. Goosen, D. B. Janse van Rensburg +2
We extend Theorem 1 of R. Reams, A Galois approach to m-th roots of matrices with rational entries, LAA 258 (1997), 187-194. Let be any polynomial over and let…
math.FA2021
Polar decompositions of quaternion matrices in indefinite inner product spaces
G. J. Groenewald, D. B. Janse van Rensburg, A. C. M. Ran +2
Polar decompositions of quaternion matrices with respect to a given indefinite inner product are studied. Necessary and sufficient conditions for the existence of an -polar deco…