Title :
On the numerical solution of the generalized eigenproblem
Author :
Papaconstantinou, C.
Author_Institution :
Control Systems Centre, Athens, Greece
fDate :
6/1/1975 12:00:00 AM
Abstract :
An iterative method is suggested for the solution of the generalized eigenproblem. The iteration is shown to possess cubic order of convergence in the case of distinct eigenvalues. The algorithm appears at its best advantage when good starting values are available; engineering applications where this is so are briefly discussed.
Keywords :
Eigenvalues; Linear systems, time-invariant continuous-time; Polynomial matrices; Differential equations; Eigenvalues and eigenfunctions; Home computing; Iterative algorithms; Iterative methods; Matrices; Packaging; Polynomials; Transfer functions; Vectors;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1975.1100974