Artículo
Milaszewicz, J.P. "Comparison theorems for monotone Newton-Fourier iterations and applications in functional elimination" (1995) Linear Algebra and Its Applications. 220(C):343-357
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Abstract:
Convergence is improved in the context of the monotone Newton theorem if the starting points are chosen as close to the root as possible. It follows that accurate partial functional elimination can be applied in order to accelerate the convergence of the Newton and the Newton-Fourier iterations. © 1995 Elsevier Science Inc.
Registro:
| Documento: | Artículo |
| Título: | Comparison theorems for monotone Newton-Fourier iterations and applications in functional elimination |
| Autor: | Milaszewicz, J.P. |
| Filiación: | Departamento de Matema ́tica Facultad de Ciencias Exactas y Naturales Ciudad Universitaria, 1428 Buenos Aires, Argentina |
| Año: | 1995 |
| Volumen: | 220 |
| Número: | C |
| Página de inicio: | 343 |
| Página de fin: | 357 |
| DOI: | http://dx.doi.org/10.1016/0024-3795(94)00313-3 |
| Título revista: | Linear Algebra and Its Applications |
| Título revista abreviado: | Linear Algebra Its Appl |
| ISSN: | 00243795 |
| CODEN: | LAAPA |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00243795_v220_nC_p343_Milaszewicz |
Referencias:
- Alefeld, Volkmann, Regular splittings and monotone iteration functions (1985) Numer. Math., 46, pp. 213-228
- Collatz, Aufgaben monotoner Art (1952) Arch. Math. (Basel), 3, pp. 366-376
- Collatz, Das vereinfachte Newtonsche Verfahren bei nicht linearen Randwertaufgaben (1954) Arch. Math. (Basel), 5, pp. 233-240
- Collatz, (1966) The Numerical Treatment of Differential Equations, , 3rd ed., Springer-Verlag, New York
- Milaszewicz, Improving Jacobi and Gauss-Seidel iterations (1987) Linear Algebra Appl., 93, pp. 161-170
- Milaszewicz, Abdel Masih, On elimination and fixed point iterations (1993) Comput. Math. Appl., 25, pp. 43-53
- Milaszewicz, Abdel Masih, Errata to “On elimination and fixed point iterations” (1994) Comput. Math. Appl., 27, pp. 113-115
- Ortega, Rheinboldt, (1970) Iterative Solution of Nonlinear Equations in Several Variables, , Academic
- Varga, (1962) Matrix Iterative Analysis, , Prentice-Hall, Englewood Cliffs, N.J
- Wolfe, On the convergence of some methods for determining zeros of order convex operators (1981) Computing, 26, pp. 45-56
Citas:
---------- APA ----------
(1995) . Comparison theorems for monotone Newton-Fourier iterations and applications in functional elimination. Linear Algebra and Its Applications, 220(C), 343-357.http://dx.doi.org/10.1016/0024-3795(94)00313-3
---------- CHICAGO ----------
Milaszewicz, J.P. "Comparison theorems for monotone Newton-Fourier iterations and applications in functional elimination" . Linear Algebra and Its Applications 220, no. C (1995) : 343-357.http://dx.doi.org/10.1016/0024-3795(94)00313-3
---------- MLA ----------
Milaszewicz, J.P. "Comparison theorems for monotone Newton-Fourier iterations and applications in functional elimination" . Linear Algebra and Its Applications, vol. 220, no. C, 1995, pp. 343-357.http://dx.doi.org/10.1016/0024-3795(94)00313-3
---------- VANCOUVER ----------
Milaszewicz, J.P. Comparison theorems for monotone Newton-Fourier iterations and applications in functional elimination. Linear Algebra Its Appl. 1995;220(C):343-357.http://dx.doi.org/10.1016/0024-3795(94)00313-3
