Artículo
Milaszewicz, J.P. "Comparison theorems for a third order method" (1997) Applied Mathematics Letters. 10(1):17-21
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Abstract:
It is proved that monotone convergence of a third order bracketing method for nonlinear systems with convexity hypotheses is improved whenever the starting points are chosen componentwise as close to the root as possible.
Registro:
| Documento: | Artículo |
| Título: | Comparison theorems for a third order method |
| Autor: | Milaszewicz, J.P. |
| Filiación: | Departamento de Matemática, Fac. de Cie. Exact. y Nat. Cd. Univ., 1428 Buenos Aires, Argentina |
| Palabras clave: | Convex functions; Monotone convergence; Nonlinear systems; Third order method |
| Año: | 1997 |
| Volumen: | 10 |
| Número: | 1 |
| Página de inicio: | 17 |
| Página de fin: | 21 |
| DOI: | http://dx.doi.org/10.1016/S0893-9659(96)00104-8 |
| Título revista: | Applied Mathematics Letters |
| Título revista abreviado: | Appl Math Lett |
| ISSN: | 08939659 |
| CODEN: | AMLEE |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08939659_v10_n1_p17_Milaszewicz |
Referencias:
- Traub, J.F., (1964) Methods for the Solution of Equations, , Prentice Hall, Englewood Cliffs, NJ
- Collatz, L., Some applications of functional analysis to analysis, particularly to nonlinear integral equations (1971) Nonlinear Functional Analysis and Applications, , Edited by L.B. Rall, Academic Press, New York
- Pasquali, A., Some remarks on the convergence of an iterative higher order process (1975) Bollettino Unione Matematica Italiana - Serie IV, 11, pp. 487-497
- Wolfe, M.A., Extended iterative methods for the solution of operator equations (1978) Numerische Mathematik, 31, pp. 153-174
- Wolfe, M.A., On the convergence of some methods for determining zeros of order-convex operators (1981) Computing, 26, pp. 45-56
- Milaszewicz, J.P., Comparison theorems for monotone Newton-Fourier iterations and applications in functional elimination (1995) Linear Algebra and Its Applications, 220, pp. 343-357
- Ortega, J.M., Rheinboldt, W.C., (1970) Iterative Solution of Nonlinear Equations in Several Variables, , Academic Press, New York
Citas:
---------- APA ----------
(1997) . Comparison theorems for a third order method. Applied Mathematics Letters, 10(1), 17-21.http://dx.doi.org/10.1016/S0893-9659(96)00104-8
---------- CHICAGO ----------
Milaszewicz, J.P. "Comparison theorems for a third order method" . Applied Mathematics Letters 10, no. 1 (1997) : 17-21.http://dx.doi.org/10.1016/S0893-9659(96)00104-8
---------- MLA ----------
Milaszewicz, J.P. "Comparison theorems for a third order method" . Applied Mathematics Letters, vol. 10, no. 1, 1997, pp. 17-21.http://dx.doi.org/10.1016/S0893-9659(96)00104-8
---------- VANCOUVER ----------
Milaszewicz, J.P. Comparison theorems for a third order method. Appl Math Lett. 1997;10(1):17-21.http://dx.doi.org/10.1016/S0893-9659(96)00104-8
