Chebyshev acceleration of picard-lindelöf iteration
✍ Scribed by Ch. Lubich
- Publisher
- Springer Netherlands
- Year
- 1992
- Tongue
- English
- Weight
- 169 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0006-3835
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this paper the iteration operator corresponding to the Picard-LindelSf iteration is considered as a model case in order to investigate the convergence theory of the Arnoldi process. We ask whether it is possible to use a theorem by Nevanlinna and Vainikko to obtain the spectrum of the local opera
We prove that if C p (X) is a Lindelöf Σ-space, then C p,2n+1 (X) is a Lindelöf Σ-space for every natural n. As a consequence, it is established that υC p C p (X) has the Lindelöf Σ-property. This answers Problem 47 of Arhangel'skiȋ (Recent Progress in General Topology, Elsevier Science, 1992). Anot