Algebraic computations with continued fractions
The authors describe several algorithms, in terms of transducers, which perform algebraic computations with continued fractions. In particular, they come up with an efficient formal algorithm which produces consecutive partial quotients of \((a\omega+ b)/c\omega+d)\), with \(a,b,c,d \in\mathbb{Z}\) and \((ad-bc)\neq 0\), by reading the consecutive partial quotients of the irrational number \(\omega\). Other nice new results are obtained as well.
consecutive partial quotients of irrational number
scientific article; zbMATH DE number 1268047