Sayed, Ali H.Kailath, Thomas2017-12-192017-12-192017-12-19199510.1016/0024-3795(93)00193-4https://infoscience.epfl.ch/handle/20.500.14299/143036We derive an efficient recursive procedure for the triangular factorization of strongly regular matrices with generalized displacement structure that includes, as special cases, a variety of previously studied classes such as Toeplitz-like and Hankel-like matrices. The derivation is based on combining a simple Gaussian elimination procedure with displacement structure, and leads to a transmission-like interpretation in terms of two cascades of first-order sections. We further derive state-space realizations for each section and for the entire cascades, and show that these realizations satisfy a generalized embedding result and a generalized notion of J-losslessness. The cascades turn out to have intrinsic blocking properties, which can be shown to be equivalent to interpolation constrains.text::journal::journal article::research article