Itérations chaotiques série-parallèle pour des équations non-linéaires de point fixe Chaotic iterations serial parallel for nonlinear fixed point equations

François Robert; Michel Charnay; François Musy

Aplikace matematiky (1975)

  • Volume: 20, Issue: 1, page 1-38
  • ISSN: 0862-7940

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Robert, François, Charnay, Michel, and Musy, François. "Itérations chaotiques série-parallèle pour des équations non-linéaires de point fixe." Aplikace matematiky 20.1 (1975): 1-38. <http://eudml.org/doc/14891>.

@article{Robert1975,
author = {Robert, François, Charnay, Michel, Musy, François},
journal = {Aplikace matematiky},
language = {eng},
number = {1},
pages = {1-38},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Itérations chaotiques série-parallèle pour des équations non-linéaires de point fixe},
url = {http://eudml.org/doc/14891},
volume = {20},
year = {1975},
}

TY - JOUR
AU - Robert, François
AU - Charnay, Michel
AU - Musy, François
TI - Itérations chaotiques série-parallèle pour des équations non-linéaires de point fixe
JO - Aplikace matematiky
PY - 1975
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 20
IS - 1
SP - 1
EP - 38
LA - eng
UR - http://eudml.org/doc/14891
ER -

References

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  1. M. Chambat M. Charnay, Resolution d’équations non linéaires de point fixe dans R n , RAIRO 6ème année, dec. 72, R3 p. 105-109. Zbl0258.65055MR0353661
  2. D. Chazan W. Miranker, Chaotic Relaxation, Linear Algebra and its Appl. 2 (1969) 199 á 222. (1969) Zbl0225.65043MR0251888
  3. J. D. P. Donnelly, Periodic chaotic relaxation, Linear Algebra and its Appl. 4(1971) 117-128. (1971) Zbl0213.16306MR0285100
  4. L. V. Kantorovitch B. Z. Vulich A. G. Pinsker, Analyse fonctionnelle dans les espaces ordonnés, (en russe). Chapitre 12 Moscou (1950). (1950) 
  5. I. Marek, 10.1137/0119060, Siam J. Appl. Math. Vol. 19, n° 3, Nov. 1970, p. 607-627. (19,) Zbl0219.47022MR0415405DOI10.1137/0119060
  6. J. C. Miellou, [unknown], CRAS, Paris t 273, 1257-1260 (1972). CRAS, Paris t 275, 1107-1110 (1972). (1972) Zbl0251.47053MR0290543
  7. C. Odiard, Un corollaire du théorème de Perron-Frobenius, RIRO 5ème année R2 1971, 124-129. (1971) Zbl0256.15014MR0316481
  8. J. Ortega W. C. Rheinboldt, Iterative solution of non linear equations in several variables, Academic-Press (1970). (1970) Zbl0241.65046MR0273810
  9. A. Ostrowski, Determinanten mit überwiegender Haupt diagonale und die absolute Konvergenz von linearen Iteration-prozessen, Commentarii Helv. 30 (1956) 175-210. (1956) MR0076433
  10. A. Ostrowski, 10.1016/0022-247X(61)90030-0, Journ. Math. Anal. and Appl. 2 (1961) 161-209. (1961) Zbl0101.25504MR0130561DOI10.1016/0022-247X(61)90030-0
  11. A. Ostrowski, 10.1016/0022-247X(61)90016-6, Journ. Math. Anal. and Appl. 2 (1961) 351-369. (1961) Zbl0100.33305MR0128634DOI10.1016/0022-247X(61)90016-6
  12. F. Robert, Bloc-H-matrices et convergence des méthodes itératives classiques par blocs, Linear Algebra and its Appl. 2 (1969) 223 - 265. (1969) Zbl0182.21302MR0250463
  13. F. Robert, Méthodes itératives „série-parallèle", C.R.A.S. Paris t. 271, 847-850 (1970). (1970) Zbl0209.17602MR0271009
  14. F. Robert M. Rascle, Contraction faible en normě vectorielle. Théorie de Perron Frobenius pour le cas de blocs, Linear Algebra and its Appl. 6 - 305-335 (1973). (1973) Zbl0252.15013MR0318194
  15. J. Schroeder, Computing error-bounds in solving linear systems, MRC Tech. report. 242, July 1961 University of Wiscosin. (1961) 
  16. R. S. Vargа, Matrix Iterative Analysis, Prentice Hall (1962). (1962) 
  17. R. S. Varga, On a connection between Infima of Norms and eigenvalues of associated operators, Linear Algebra and its Appl. 6 249 - 256 (1973). (1973) Zbl0246.15027MR0311695

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