nˈoʊt ðˈætwˌʌn wˈeɪ tə sˈɑːlv ðɪ ˌældʒɪbɹˈeɪɪk ɹɪkˈɑːɾi ᵻkwˈeɪʒən ɪz baɪ ˈɪɾɚɹˌeɪɾɪŋ ðə daɪnˈæmɪk ɹɪkˈɑːɾi ᵻkwˈeɪʒən ʌvðə fˈaɪnaɪthɚɹˈaɪzən kˈeɪs ʌntˈɪl ɪt kənvˈɜːdʒᵻz.
Note that one way to solve the algebraic Riccati equation is by iterating the dynamic Riccati equation of the finite-horizon case until it converges.