Carathéodory sequence parametrizations of Potapov-normalized full-rank Jq-elementary factors Original Research Article

Full-rank Jq-elementary factors play a key role in the context of the matricial version of the classical Carathéodory interpolation problem. Extending work of I. V. Kovalishina, we derive various one-to-one correspondences between Potapov-normalized full-rank Jq-elementary factors and finite nondegenerate q × q Carathéodory sequences.