Meromorphic resolvents and power bounded operators

BIT Numerical Mathematics

Volumn 36, Issue 3, 1996, Pages 531-541

  Nevanlinna, Olavi ^a  

^a AALTO UNIVERSITY   (Finland)

Author keywords

Meromorphic resolvent; Power bounded; Stability

Indexed keywords

EID: 0007551571     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01731932     Document Type: Article

References (11)

1. H. O. Kreiss, Über die Stabilitätsdefinition für Differenzengleichungen die partielle Differentialgleichungen approximieren, BIT, 2 (1962), pp. 153-181.
2. R. L. LeVeque and L. N. Trefethen. On the resolvent condition in the Kreiss matrix theorem, BIT, 24 (1984), pp. 584-591.
3. O. Nevanlinna, Convergence of Iterations for Linear Equations, Birkhäuser, Basel, 1993.
4. O. Nevanlinna, Remarks on the growth of the resolvent opera ors for power bounded operators, Institute of Mathematics, Helsinki University of Technology Finland, Report A340, December, 1994, to appear in Banach Center Publications.
5. O. Nevanlinna, Convergence of Krylov-Methods for sums of two operators, Institute of Mathematics, Helsinki University of Technology, Finland, Report A353, June, 1995, to appear in BIT.
6. O. Nevanlinna, A characteristic function for matrix valued meromorphic functions, Institute of Mathematics, Helsinki University of Technology, Finland, Report A355, November, 1995, to appear in the Proceedings of XVI Rolf Nevanlinna Colloquium.
7. O. Nevanlinna, Lectures on meromorphic functions with applications to matrices and operators, Lecture notes in preparation, 1995.
8. R. Nevanlinna, Analytic Functions, Springer, 1970.
9. A. Pokrzywa, On an infinite-dimensional version of the Kreiss matrix theorem, Banach Center Publications, 29 (1994), pp. 45-50.
10. M. N. Spijker, On a conjecture by Le Veque and Trefethen related to the Kreiss matrix theorem, BIT, 31 (1991), pp. 551-555.
11. J. C. Strikwerda and B. A. Wade, Cesaro means and the Kreiss matrix theorem, Linear Algebra Appl., 145 (1991), pp. 89-106.