Least-squares solution to a bivariate matrix Padé-type approximation

Following the definition of a two bivariate matrix Padé-type (BMPTA) in [13], the least-squares solution to BMPTA is given and its determinantal expressions are presented. To avoid the computation of determinants, a recursive algorithm called Sylvester-type algorithm is proposed. In the end the method is applied to partial realization problems of 2-D linear systems.