Abstract
In this paper, we study a rational function which plays an important role in several problems of interest (eigenvalue problems, linear control theory, ... ). Our main interest is to determine zero-free regions. We also derive upper and lower bounds for this function.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
S. Barnett,Polynomials and Linear Control Systems, Series in Pure and Applied Mathematics, vol. 77 (Marcel Dekker, New York, 1983).
A. Draux,Polynômes Orthogonaux Formels (Springer, Berlin, 1983).
G.H. Golub, Some modified matrix eigenvalue problems, SIAM Rev.15 (1973) 318–334.
V. Pták, Lyapunov, Bézout, and Hankel, Lin. Alg. Appl. 58 (1984) 363–390.
A. Ruhe, Rational Krylov sequence methods for eigenvalue computation, Lin. Alg. Appl. 58 (1984) 391–405.
Author information
Authors and Affiliations
Additional information
Communicated by T.L. Freeman
Rights and permissions
About this article
Cite this article
Jones, J.W., Welfert, B.D. Zero-flee regions for a rational function with applications. Adv Comput Math 3, 265–289 (1995). https://doi.org/10.1007/BF02988626
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02988626