Browsing Faculty of Natural and Agricultural Sciences by Author "Janse van Rensburg, D.B."

Now showing items 1-4 of 4

    • mth Roots of H-selfadjoint matrices 

      Groenewald, G.J.; Janse van Rensburg, D.B.; Ran, A.C.M.; Theron, F.; Van Straaten, M. (Elsevier, 2021)
      In this paper necessary and sufficient conditions are given for the existence of an H-selfadjoint mth root of a given H-selfadjoint matrix. A construction is given of such an Hselfadjoint mth root when it does exist

    • Rank one perturbations of H-positive real matrices 

      Fourie, J.H.; Groenewald, G.J.; Janse van Rensburg, D.B.; Ran, A.C.M. (Elsevier, 2013)
      We consider a generic rank one structured perturbation on H-positive real matrices. The case with complex rank one perturbation is treated in general, but the main focus of this article is the real rank one perturbation. ...

    • Real and complex invariant subspaces for matrices which are H-positive real in an indefinite inner product space 

      Fourie, J.H.; Groenewald, G.J.; Janse van Rensburg, D.B.; Ran, A.C.M. (ILAS, 2014)
      In this paper, the equivalence of the existence of unique real and complex A-invariant semidefinite subspaces for real H-positive real matrices are shown

    • Simple forms and invariant subspaces of H-expansive matrices 

      Fourie, J.H.; Groenewald, G.J.; Janse van Rensburg, D.B.; Ran, A.C.M. (Elsevier, 2015)
      In this paper we consider a simple form for pairs of matrices (A,H)(A,H), where H is a real symmetric invertible matrix, and A is a real H -expansive matrix, that is, ATHA−HATHA−H is positive semidefinite. For such pairs ...