| Title:
|
Once more about the monotonicity of the Temple quotients (English) |
| Author:
|
Janovská, Drahoslava |
| Author:
|
Marek, Ivo |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
29 |
| Issue:
|
6 |
| Year:
|
1984 |
| Pages:
|
459-468 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
A new proof of the monotonicity of the Temple quotients for the computation of the dominant eigenvalue of a bounded linear normal operator in a Hilbert space is given. Another goal of the paper is a precise analysis of the length of the interval for admissible shifts for the Temple quotients. (English) |
| Keyword:
|
monotonicity of the Temple quotients |
| Keyword:
|
computation of the dominant eigenvalue of a bounded linear normal operator in a Hilbert space |
| Keyword:
|
length of the interval for admissible shifts for the Temple quotients |
| MSC:
|
47A70 |
| MSC:
|
47A99 |
| MSC:
|
47B15 |
| idZBL:
|
Zbl 0598.47021 |
| idMR:
|
MR0767496 |
| DOI:
|
10.21136/AM.1984.104117 |
| . |
| Date available:
|
2008-05-20T18:26:18Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104117 |
| . |
| Reference:
|
[1] F. Goerisch J. Albrecht: Die Monotonie der Templeschen Quotienten.ZAMM 64, T278 -T279 (1984). MR 0754507 |
| Reference:
|
[2] K. Rektorys: A proof of monotony of the Temple quotients on eigenvalue problems.Apl. mat. 29 (1984), 149-158. MR 0738500 |
| Reference:
|
[3] F. Riesz B. Nagy Szekefalvi: Leçons d'analyse fonctionelle.Academie des sciences de Hongarie, Budapest 1953 (Russian). Izdat. Inost. Lit., Moscow 1964. |
| Reference:
|
[4] A. E. Taylor: Introduction to Functional Analysis.J. Wiley, New York 1958. Zbl 0081.10202, MR 0098966 |
| . |
