Fourie, J.H.Groenewald, G.J.Janse van Rensburg, D.B.Ran, André2016-09-022016-09-022015Fourie, J.H. et al. 2015. Simple forms and invariant subspaces of H-expansive matrices. Linear algebra and its applications, 470:300-340. [https://doi.org/10.1016/j.laa.2014.11.022]0024-37951873-1856 (Online)http://hdl.handle.net/10394/18504https://doi.org/10.1016/j.laa.2014.11.022https://www.sciencedirect.com/science/article/pii/S0024379514007575In 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 we use the simple form to give an explicit construction of real A-invariant maximal H-semidefinite subspacesenH-expansive matricesInvariant maximal semidefinite subspacesArticle