Three remarks on the use of Čebyšev polynomials for solving equations of the second kind

Eberhard Schock

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1981)

  • Volume: 15, Issue: 3, page 257-264
  • ISSN: 0764-583X

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Schock, Eberhard. "Three remarks on the use of Čebyšev polynomials for solving equations of the second kind." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 15.3 (1981): 257-264. <http://eudml.org/doc/193382>.

@article{Schock1981,
author = {Schock, Eberhard},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {Chebyshev-Euler method; Chebyshev-semi-iterative method; projection method; quasi inverse for self-adjoint operators; Hilbert space; error estimate},
language = {eng},
number = {3},
pages = {257-264},
publisher = {Dunod},
title = {Three remarks on the use of Čebyšev polynomials for solving equations of the second kind},
url = {http://eudml.org/doc/193382},
volume = {15},
year = {1981},
}

TY - JOUR
AU - Schock, Eberhard
TI - Three remarks on the use of Čebyšev polynomials for solving equations of the second kind
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1981
PB - Dunod
VL - 15
IS - 3
SP - 257
EP - 264
LA - eng
KW - Chebyshev-Euler method; Chebyshev-semi-iterative method; projection method; quasi inverse for self-adjoint operators; Hilbert space; error estimate
UR - http://eudml.org/doc/193382
ER -

References

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  1. [1] N. I. ACHIESER, Theory of Approximation F. Ungar P. Co., New York, 1956. Zbl0072.28403MR95369
  2. [2] S. BERNSTEIN, L'Approximation. Chelsea Publ. Co, New York. Zbl0237.01043
  3. [3] P. L. CEBYSEV, Ouvres. Chelsea, New York, 1961. 
  4. [4] G. MEINARDUS, Approximation von Funktionen und ihre numerische Behandlung.Springer, Heidelberg, 1964. Zbl0124.33103MR176272
  5. [5] W. NIETHAMMER, Iterationsverfahren und allgemeine Euler-Verfahren. Math. Z,102 (1967) 288-317. Zbl0225.65008MR238465
  6. [6] E. SCHOCK, On projection methods for linear equations of the second kind. J. Math. Anal. Appl. 45 (1974) 293-299. Zbl0303.65051MR344918
  7. [7] R. S. VARGA, Matrix iterative analysis. Prentice Hall, NewJersey, 1962. Zbl0133.08602MR158502
  8. [8] M. WOLF, Summationsverfahren und projektive Verfahren der Klasse Q υ . Diplomarbeit, Bonn, 1979. 

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