On superadditive rates of convergence
Potra, Florian A.
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 19 (1985), p. 671-685 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1985-01-01
@article{M2AN_1985__19_4_671_0,
     author = {Potra, Florian A.},
     title = {On superadditive rates of convergence},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {19},
     year = {1985},
     pages = {671-685},
     mrnumber = {826229},
     zbl = {0582.65043},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_1985__19_4_671_0}
}

Potra, Florian A. On superadditive rates of convergence. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 19 (1985) pp. 671-685. http://gdmltest.u-ga.fr/item/M2AN_1985__19_4_671_0/

[1] I. Korec, On a problem of V. Ptak, Cas. pro pest. mat. 103 (1978), 365-379. | MR 512233 | Zbl 0429.26001

[2] J. Križková, P. Vrbová, A remark on a factorization theorem, Comm. Math. Univ. Carol (CMUC) 15 (1974), 611-614. | MR 361789 | Zbl 0329.46055

[3] J. M. Ortega, W. C. Rheinboldt, Itérative solution of nonlinear équations in serval variables, Academic Press, London, 1970. | MR 273810 | Zbl 0241.65046

[4] H. Petzeltová, P. Vrbová, An overrelaxed modification of Newton's method, Revue Roumaine des Mathématiques 22 (1977), 959-963. | MR 478203 | Zbl 0379.65029

[5] H. Petzeltová, P. Vrbová$, A remark on small divisors problems, Czech. Math. J. 103 (1978), 1-12. | MR 482803 | Zbl 0419.47029

[6] F. A. Potra, On a modified secant method, Math. Rev. Anal. Numer. Theor. Approximation, Anal. Numer. Theor. Approximation, 8,2 (1979), 203-214. | MR 573981 | Zbl 0445.65055

[7] F. A. Potra, An application of the induction method of V. Pták to the study of Régula Falsi, Aplikace Matematiky 26 (1981), 111-120. | MR 612668 | Zbl 0486.65038

[8] F. A. Potra, The rate of convergence of a modified Newton's process, Aplikace matematiky 26 (1981), 13-17. | MR 602398 | Zbl 0486.65039

[9] F. A. Potra, An error analysis for the secant method, Numer. Math. 38 (1982), 427-445. | MR 654108 | Zbl 0465.65033

[10] F. A. Potra, V. Pták, Nondiscrete induction and a double step sécant method, Math. Scand. 46 (1980), 236-250. | MR 591604 | Zbl 0423.65034

[11] F. A. Potra, V. Pták, On a class of modified Newton processes, Numer. Funct. Anal, and Optimiz. 2 (1980), 107-120. | MR 580387 | Zbl 0472.65049

[12] F. A. Potra, V. Pták, Sharp error bounds for Newton's process, Numer. Math. 34 (1980), 63-72. | MR 560794 | Zbl 0434.65034

[13] F. A. Potra, V. Pták : A generalization of Régula Falsi, Numer. Math. 36 (1981), 333-346. | MR 613073 | Zbl 0478.65039

[14] F. A. Potra, V. Pták : Nondiscrete induction and an inversion free modification of Newtons method, Cas. pro pest. mat. 108, 4 (1983), 333-341. | MR 727533 | Zbl 0563.65040

[15] F. A. Potra, V. Pták : Nondiscrete induction and itérative processes, Pitman Advanced Publishing Program, London, 1984. | MR 754338 | Zbl 0549.41001

[16] V. Pták : Some metric aspects of the open mapping theorem, Math. Ann. 165 (1966), 95-104. | MR 192316 | Zbl 0138.37602

[17] V. Pták : A quantitative refinement of the closed graph theorem, Czech. Math. J. 99 (1974), 503-506. | MR 348431 | Zbl 0315.46007

[18] V. Pták : A theorem of the closed graph type, Manuscripta Math. 13 (1974), 109-130. | MR 348430 | Zbl 0286.46008

[19] V. Pták : Deux théorèmes de factorisation, Comptes Rendus, Acad. Sci. Paris 278 (1974), 1091-1094. | MR 341096 | Zbl 0277.46047

[20] V. Pták : Concerning the rate of convergence of Newton'sprocess, Comm. Math. Univ. Carolinae 16 (1975), 599-705. | MR 398092 | Zbl 0314.65023

[21] V. Pták, A modification of Newtons method, Cas. pest mat. 101 (1976), 188-194. | MR 443326

[22] V. Pták, Nondiscrete mathematical induction and itérative existence proofs, Linear Algebra and its Applications 13 (1976), 223-236. | MR 394119 | Zbl 0323.46005

[23] V. Pták, The rate of convergence of Newton's process, Numer. Math. 25 (1976), 279-285. | MR 478587 | Zbl 0304.65037

[24] V. Pták, Nondiscrete mathematical induction, in : General Topology and its Relations to Modem Analysis and Algebra IV, 166-178, Lecture Notes in Mathematics 609, Springer Verlag, 1977. | MR 487618 | Zbl 0367.46007

[25] V. Ptá$K, What should be a rate of convergence, R.A.I.R.O., Analyse Numérique 11 (1977), 279-286. | Numdam | MR 474799 | Zbl 0378.65031

[26] V. Pták, Stability of exactness, Comm. Math. (Poznan) 21 (1978), 343-348.

[27] V. Ptá$K, A rate of convergence, Numer. Funct. Anal, and Optimiz. 1 (1979), 255-271. | MR 537831 | Zbl 0441.46010

[28] V. Pták, Factorization in Banach algebras, Studia Math. 65 (1979), 279-285. | MR 567080 | Zbl 0342.46036

[29] J. W. Schmidt, H. Leonhardt, Eeingrenzung von Lösungen mit Hüfe der Régula falsi, Computing 6 (1970). 318-329. | MR 286275 | Zbl 0231.65053

[30] J. Zemánek, A remark on transitivity of operator algebras, CAS. PEST. MAT. 100 (1975), 176-178. | MR 380436