TY - JOUR
AU - Dmytryshyn, R.I.
PY - 2016/12/30
Y2 - 2024/11/09
TI - A multidimensional generalization of the Rutishauser $qd$-algorithm
JF - Carpathian Mathematical Publications
JA - Carpathian Math. Publ.
VL - 8
IS - 2
SE - Scientific articles
DO - 10.15330/cmp.8.2.230-238
UR - https://journals.pnu.edu.ua/index.php/cmp/article/view/1429
SP - 230-238
AB - <p><span style="color: #000000;"><span style="font-family: Verdana, Arial, Helvetica, sans-serif;">In this paper the regular multidimensional $C$-fraction with independent variables, which is a generalization of regular $C$-fraction, is considered. An algorithm of calculation of the coefficients of the regular multidimensional $C$-fraction with independent variables correspondence to a given formal multiple power series is constructed. Necessary and sufficient conditions of the existence of this algorithm are established. The above mentioned algorithm is a multidimensional generalization of the Rutishauser $qd$-algorithm.</span></span></p>
ER -