On the algebraic structure of the Moore Penrose inverse of a matrix pencil
Ιωάννης Σάββας Καφετζής · Aristotle University of Thessaloniki · 2017
The Moore Penrose inverse of polynomial matrices finds numerous applications in control theory. Hence it is important to determine its algebraic structure and the interconnections between the original matrix and its Moore Penrose inverse. This thesis determines and proves analytically the connection between the algebraic structure of the Moore Penrose inverse of a matrix pencil in Kronecker canonical form and its Moore Penrose inverse. Furthermore contains a Mathematica package that allows the calculation of structural properties for rational matrices and the Moore Penrose inverse of any polynomial matrix.