Artículo
Milaszewicz, J.P. "Monotone discrete Newton iterations and elimination" (1995) Computers and Mathematics with Applications. 30(1):79-90
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Abstract:
The improvement in convergence by means of accurate functional elimination in the context of the monotone Newton theorem is further analyzed and extended to discrete approximations of the Newton method. © 1995.
Registro:
| Documento: | Artículo |
| Título: | Monotone discrete Newton iterations and elimination |
| Autor: | Milaszewicz, J.P. |
| Filiación: | Departamento de Matemática Facultad de Ciencias Exactas y Naturales Ciudad Universitaria, 1428 Buenos Aires, Argentina |
| Palabras clave: | Discretized Newton method; Functional elimination; Nonlinear systems; Order convex functions; Approximation theory; Boundary value problems; Convergence of numerical methods; Differentiation (calculus); Function evaluation; Iterative methods; Mathematical models; Matrix algebra; Theorem proving; Discretized Newton method; Functional elimination; Jacobian matrix; Monotone discrete Newton iterations; Monotone sequences; Order convex functions; Nonlinear equations |
| Año: | 1995 |
| Volumen: | 30 |
| Número: | 1 |
| Página de inicio: | 79 |
| Página de fin: | 90 |
| DOI: | http://dx.doi.org/10.1016/0898-1221(95)00069-B |
| Título revista: | Computers and Mathematics with Applications |
| Título revista abreviado: | Comput Math Appl |
| ISSN: | 08981221 |
| CODEN: | CMAPD |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_08981221_v30_n1_p79_Milaszewicz.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08981221_v30_n1_p79_Milaszewicz |
Referencias:
- Ortega, Rheinboldt, (1970) Iterative Solution of Nonlinear Equations in Several Variables, , Academic Press, New York
- Milaszewicz, Improving Jacobi and Gauss-Seidel iterations (1987) Linear Algebra and its Applications, 93, pp. 161-170
- Milaszewicz, Masih, On elimination and fixed point iterations (1993) Computers Math. Applic., 25 (5), pp. 43-53
- Ostrowski, (1973) Solution of Equations in Euclidean and Banach Spaces, , Academic Press, New York
- Baluev, On the method of Chaplygin (Russian) (1952) Doklady Akademii Nauk SSSR, 83, pp. 781-784
- Ortega, Rheinboldt, Monotone iterations for nonlinear equations with application to Gauss-Seidel methods (1967) SIAM Journal on Numerical Analysis, 4, pp. 171-190
- Milaszewicz, Comparison theorems for monotone Newton-Fourier iterations and applications in functional elimination (1995) Linear Algebra and its Applications
- Milaszewicz, Masih, Errata to “On elimination and fixed point iterations” (1994) Computers Math. Applic., 27 (4), pp. 113-115
Citas:
---------- APA ----------
(1995) . Monotone discrete Newton iterations and elimination. Computers and Mathematics with Applications, 30(1), 79-90.http://dx.doi.org/10.1016/0898-1221(95)00069-B
---------- CHICAGO ----------
Milaszewicz, J.P. "Monotone discrete Newton iterations and elimination" . Computers and Mathematics with Applications 30, no. 1 (1995) : 79-90.http://dx.doi.org/10.1016/0898-1221(95)00069-B
---------- MLA ----------
Milaszewicz, J.P. "Monotone discrete Newton iterations and elimination" . Computers and Mathematics with Applications, vol. 30, no. 1, 1995, pp. 79-90.http://dx.doi.org/10.1016/0898-1221(95)00069-B
---------- VANCOUVER ----------
Milaszewicz, J.P. Monotone discrete Newton iterations and elimination. Comput Math Appl. 1995;30(1):79-90.http://dx.doi.org/10.1016/0898-1221(95)00069-B
