Title :
Evaluation of constituent matrices of a companion matrix with repeated eigenvalues
Author :
Chang, Feng-cheng
Author_Institution :
Alabama A&M University, Normal, AL
fDate :
4/1/1977 12:00:00 AM
Abstract :
An analytical function of a companion matrix with repeated eigenvalues is expressed in terms of constituent matrices. The constituent matrices are then found to be equal to the product of two matrices with elements partly from a certain matrix and its inversion. This matrix may be either a Vandermonde matrix or a modal matrix. Equations for computing these matrices are given as a power series of x which is very useful for both hand and machine computations.
Keywords :
Digital filters; Educational institutions; Eigenvalues and eigenfunctions; Equations; Finite impulse response filter; Fourier series; Frequency response; IIR filters; Optimization methods; Transversal filters;
Journal_Title :
Proceedings of the IEEE
DOI :
10.1109/PROC.1977.10522
