Block partial fraction expansion of a rational matrix
YIH TSONG TSAY, Leang San Shieh, ROBERT E. YATES, Stephen Mark Barnett · Linear and Multilinear Algebra · 1982
The main contribution. is a block partial fraction expansion of a rational matrix are polynomial matrices. A new algorithm is derived to construct a transformation matrix that transforms a right (left) solvent to the corresponding left (right) solvent of a matrix polynomial. Also, the algorithm can be used to construct a set of right (left) fundamental matrix polynomials and the inversion of a block Vandermonde matrix. This leads to a new technique to perform the block partial fraction expansion of a class of rational matrices.