Title :
Asymptotics of the Perron-Frobenius eigenvalue of nonnegative Hessenberg-Toeplitz matrices
Author :
Janssen, A. J E M
Author_Institution :
Philips Res. Lab., Eindhoven, Netherlands
fDate :
11/1/1989 12:00:00 AM
Abstract :
Asymptotic results for the Perron-Frobenius eigenvalue of a nonnegative Hessenberg-Toeplitz matrix as the dimension of the matrix tends to ∞ are given. The results are used and interpreted in terms of source entropies in the case where the Hessenberg-Toeplitz matrix arises as the transition matrix of a finite-state machine generating certain constrained sequences of ±1´s
Keywords :
eigenvalues and eigenfunctions; information theory; matrix algebra; Perron-Frobenius eigenvalue; asymptotic results; constrained sequences; finite-state machine; information theory; nonnegative Hessenberg-Toeplitz matrices; source entropies; transition matrix; Decoding; Delay; Eigenvalues and eigenfunctions; Entropy; Information theory;
Journal_Title :
Information Theory, IEEE Transactions on
