TY - JOUR
T1 - Simple forms and invariant subspaces of H-expansive matrices
AU - Ran, A.C.M.
AU - Fourie, J.H.
AU - Groenewald, G.J.
AU - Janse van Rensburg, D.B.
PY - 2015
Y1 - 2015
N2 - 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.
AB - 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.
U2 - 10.1016/j.laa.2014.11.022
DO - 10.1016/j.laa.2014.11.022
M3 - Article
SN - 0024-3795
VL - 470
SP - 300
EP - 340
JO - Linear Algebra and its Applications
JF - Linear Algebra and its Applications
ER -