mth roots of H-selfadjoint matrices

G. J. Groenewald, D. B. Janse van Rensburg, A. C.M. Ran*, F. Theron, M. van Straaten

*Corresponding author for this work

Research output: Contribution to JournalArticleAcademicpeer-review


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 H-selfadjoint mth root when it does exist.

Original languageEnglish
Pages (from-to)804-826
Number of pages23
JournalLinear Algebra and its Applications
Early online date21 Oct 2020
Publication statusPublished - 1 Feb 2021


  • Canonical forms
  • H-selfadjoint matrices
  • Indefinite inner product space
  • Roots of matrices


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