Block partial fraction expansion of a rational matrix

Abstract

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.

†Department of Electrical Engineering, University of Houston, Houston, Texas 77004.

‡Guidance and Control Directorate, U.S. Army Missile Research and Development Command, Redstone Arsenal, AL 35809

§School of Mathematical Sciences, University of Bradford, West Yorkshire BD7 lDP, England.

This work was supported in part by the U.S. Army Research Office, under grant DAAG29-80-K-0077, and US. Army Missile Command. under contract DAAH01-80-C-0323.

†Department of Electrical Engineering, University of Houston, Houston, Texas 77004.

‡Guidance and Control Directorate, U.S. Army Missile Research and Development Command, Redstone Arsenal, AL 35809

§School of Mathematical Sciences, University of Bradford, West Yorkshire BD7 lDP, England.

This work was supported in part by the U.S. Army Research Office, under grant DAAG29-80-K-0077, and US. Army Missile Command. under contract DAAH01-80-C-0323.

Notes

†Department of Electrical Engineering, University of Houston, Houston, Texas 77004.

‡Guidance and Control Directorate, U.S. Army Missile Research and Development Command, Redstone Arsenal, AL 35809

§School of Mathematical Sciences, University of Bradford, West Yorkshire BD7 lDP, England.

This work was supported in part by the U.S. Army Research Office, under grant DAAG29-80-K-0077, and US. Army Missile Command. under contract DAAH01-80-C-0323.