We propose a method and algorithm for computing the weighted MoorePenrose inverse of one-variable rational matrices. Also, we develop an algorithm for computing the weighted Moore-Penrose inverse of one-variable polynomial matrix. These methods and algorithms are generalizations of the method originated in [26] and the partitioning method computing the Moore-Penrose inverse of rational and polynomial matrices introduced in [21]. Algorithms are implemented in the symbolic computational package MATHEMATICA. AMS Subj. Class.: 15A09, 68Q40. Key words: Weighted Moore-Penrose inverse; Rational and polynomial matrices.
Milan B. Tasic, Predrag S. Stanimirovic, Marko D.