In this paper we derive comparison results for Hermitian solutions of time scale matrix Riccati equations and Riccati inequalities. Such solutions arise from special conjoined bases $(X,U)$ of the corresponding time scale symplectic system via the Riccati quotient $Q=UX-1$. We also discuss properties of a unitary matrix solution $\backslash hat\; Q=(U+iX)(U-iX)-1$ of a certain associated Riccati equation.

Last change: June 7, 2006. (c) Roman Hilscher