Title :
Improved accuracy in calculating the characteristic polynomial
Author :
van den Bosch, P.P.J. ; Kuijk, L.A.M.
Author_Institution :
Delft University of Technology, Laboratory for Control Engineering, Department of Electrical Engineering, Delft, Netherlands
Abstract :
In calculating the coefficients of the characteristic polynomial of a square matrix A, the algorithm due to Leverrier is often used. However, due to numerical errors, this algorithm is not reliable when the dimension of A increases. A modification of this algorithm which increases the accuracy of the algorithm considerably will be proposed.
Keywords :
matrix algebra; poles and zeros; polynomials; characteristic polynomial; numerical errors; poles and zeros; square matrix;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19810025
