Comments on "A matrix inequality associated with bounds on solutions of algebraic Riccati and Lyapunov equation" by J.M. Saniuk and I.B. Rhodes

Improved inequalities over the ones reported by J.M. Saniuk and I.B. Rhodes (1987) in the above mentioned paper (ibid., vol.32, p.739-40, 1987) are obtained following the reasoning developed thereby. Relations are presented that demonstrate the improvement asserted by the commenter.>