Once more about the monotonicity of the Temple quotients

Drahoslava Janovská; Ivo Marek

Aplikace matematiky (1984)

  • Volume: 29, Issue: 6, page 459-468
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Janovská, Drahoslava, and Marek, Ivo. "Once more about the monotonicity of the Temple quotients." Aplikace matematiky 29.6 (1984): 459-468. <http://eudml.org/doc/15377>.

@article{Janovská1984,
abstract = {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.},
author = {Janovská, Drahoslava, Marek, Ivo},
journal = {Aplikace matematiky},
keywords = {monotonicity of the Temple quotients; computation of the dominant eigenvalue of a bounded linear normal operator in a Hilbert space; length of the interval for admissible shifts for the Temple quotients; monotonicity of the Temple quotients; computation of the dominant eigenvalue of a bounded linear normal operator in a Hilbert space; length of the interval for admissible shifts for the Temple quotients},
language = {eng},
number = {6},
pages = {459-468},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Once more about the monotonicity of the Temple quotients},
url = {http://eudml.org/doc/15377},
volume = {29},
year = {1984},
}

TY - JOUR
AU - Janovská, Drahoslava
AU - Marek, Ivo
TI - Once more about the monotonicity of the Temple quotients
JO - Aplikace matematiky
PY - 1984
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 29
IS - 6
SP - 459
EP - 468
AB - 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.
LA - eng
KW - monotonicity of the Temple quotients; computation of the dominant eigenvalue of a bounded linear normal operator in a Hilbert space; length of the interval for admissible shifts for the Temple quotients; monotonicity of the Temple quotients; computation of the dominant eigenvalue of a bounded linear normal operator in a Hilbert space; length of the interval for admissible shifts for the Temple quotients
UR - http://eudml.org/doc/15377
ER -

References

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  1. F. Goerisch J. Albrecht, Die Monotonie der Templeschen Quotienten, ZAMM 64, T278 -T279 (1984). (1984) Zbl0574.65046MR0754507
  2. K. Rektorys, A proof of monotony of the Temple quotients on eigenvalue problems, Apl. mat. 29 (1984), 149-158. (1984) Zbl0544.65056MR0738500
  3. F. Riesz B. Nagy Szekefalvi, Leçons d'analyse fonctionelle, Academie des sciences de Hongarie, Budapest 1953 (Russian). Izdat. Inost. Lit., Moscow 1964. (1953) 
  4. A. E. Taylor, Introduction to Functional Analysis, J. Wiley, New York 1958. (1958) Zbl0081.10202MR0098966

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