1Department of Mathematical Analysis, Faculty of Science, Masaryk University, Janáčkovo nám. 2a, CZ-60200 Brno, Czech Republic. E-mail: hilscher@math.muni.cz
2Department of Mathematical Analysis, Faculty of Science, Masaryk University, Janáčkovo náam. 2a, CZ-60200 Brno, Czech Republic. E-mail: xruzicko@math.muni.cz
In this paper we study discrete (implicit) Riccati matrix equations associated with discrete symplectic systems and related quadratic functionals
Discrete symplectic system, quadratic functional, non-negativity, positivity, Riccati inequality, Riccati equation, conjoined basis, Sturmian theorem