Simple forms and invariant subspaces of H-expansive matrices
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Abstract
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 we use the simple form to give an explicit construction of real A-invariant maximal H-semidefinite subspaces
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Fourie, 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]