Matrices with Displacement Structure, Generalized Bezoutians, and Moebius Transformations
Georg Heinig, Karla Rost · Birkhäuser Basel eBooks · 1989
Matrices are considered the entries of which fulfil a difference equation (called ω-structured matrices) and a class of generalized Bezoutians is introduced. It is shown that A is a generalized Bezoutian iff its inverse is ω-structured. This result generalizes the Gohberg/Semencul theorem and other facts concerning Toeplitz matrices. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.