1Department of Mathematical Analysis, Faculty of Science, Masaryk University, Janáčkovo nám. 2a, CZ-60200 Brno, Czech Republic. E-mail:
2Department of Mathematical Analysis, Faculty of Science, Masaryk University, Janáčkovo náam. 2a, CZ-60200 Brno, Czech Republic. E-mail:
†Corresponding author. Research supported by the Ministry of Education, Youth, and Sports of the Czech Republic under grant 1K04001 and by the Grant Agency of the Academy of Sciences of the Czech Republic under grant KJB1019407.
* Research supported by the Czech Grant Agency under grant 201/04/0580.
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