Browsing by Subject "Canonical forms"
Now showing items 1-3 of 3
(Springer, 2018)In this paper we consider pairs of matrices (A,H), with A and H either both real or both complex, H is invertible and skew-symmetric and A is H -symplectic, that is, ATH A = H. A canonical form for such pairs is derived ...
(Ele-Math, 2016)In this paper matrices A are considered that have the property that A∗HA = H ,where H = H∗ is invertible. A canonical form is given for the pair of matrices (A,H) under transformations (A,H) → ( S−1AS,S∗HS), ...
(Elsevier, 2021)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 Hselfadjoint mth root when it does exist