  In this paper, we establish results fully addressing two open problems
proposed recently by I. Ivanov, see Nonlinear Analysis 69 (2008) 4012--4024,
with respect to the convergence of the accelerated Riccati iteration method for
solving the continuous coupled algebraic Riccati equation, or CCARE for short.
These results confirm several desirable features of that method, including the
monotonicity and boundedness of the sequences it produces, its capability of
determining whether the CCARE has a solution, the extremal solutions it
computes under certain circumstances, and its faster convergence than the
regular Riccati iteration method.
