ON THE PROPERTIES OF A KIND OF RANDOM MATRICES
Keywords:
symplectic matrix, perturbations, Schur form, Jordan form.DOI:
https://doi.org/10.17654/0972111823004Abstract
Starting from matrices whose columns generate an isotropic subspace and the work done by Qing-You in [8], important properties of a kind of random symplectic matrix are presented. We show that:
(1) it can be transformed into Jordan canonical form by a similar orthogonal transformation,
(2) it has a particular Schur canonical form, and
(3) its condition number is a constant and is the same as that of the matrix studied in [8], numerical examples are given to confirm our theoretical results.
Received: January 6, 2023
Accepted: February 17, 2023
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