Simple forms and invariant subspaces of H-expansive matrices

A.C.M. Ran, J.H. Fourie, G.J. Groenewald, D.B. Janse van Rensburg

Research output: Contribution to JournalArticleAcademicpeer-review


In this paper we consider a simple form for pairs of matrices (A,H), where H is a real symmetric invertible matrix, and A is a real H-expansive matrix, that is, ATHA-H is positive semidefinite. For such pairs we use the simple form to give an explicit construction of real A-invariant maximal H-semidefinite subspaces.
Original languageEnglish
Pages (from-to)300-340
JournalLinear Algebra and its Applications
Publication statusPublished - 2015


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