Linear acceleration of Picard-Lindelöf iteration
✍ Scribed by Olavi Nevanlinna
- Publisher
- Springer-Verlag
- Year
- 1990
- Tongue
- English
- Weight
- 421 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0029-599X
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📜 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