J. Juang et Ww. Lin, NONSYMMETRIC ALGEBRAIC RICCATI-EQUATIONS AND HAMILTONIAN-LIKE MATRICES, SIAM journal on matrix analysis and applications (Print), 20(1), 1999, pp. 228-243
We consider a nonsymmetric algebraic matrix Riccati equation arising f
rom transport theory. The nonnegative solutions of the equation can be
explicitly constructed via the inversion formula of a Cauchy matrix.
An error analysis and numerical results are given. We also show a comp
arison theorem of the nonnegative solutions.