Artículo
Milaszewicz, J.P. "On fixed point linear equations" (1982) Numerische Mathematik. 38(1):53-59
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Abstract:
By means of successive partial substitutions it is possible to obtain new fixed point linear equations from old ones and it is interesting to determine how the spectral radius of the corresponding matrices varies. We prove that, when the original matrix is nonnegative, this variation is decreasing or increasing, depending on whether the original matrix has its spectral radius smaller or greater than 1. We answer in this way a question posed by F. Robert in [5]. © 1981 Springer-Verlag.
Registro:
| Documento: | Artículo |
| Título: | On fixed point linear equations |
| Autor: | Milaszewicz, J.P. |
| Filiación: | Departmento de Matemática, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, Buenos Aires, 1428, Argentina |
| Palabras clave: | Subject Classifications: AMS(MOS): 65F10, 47B55, CR: 5.14 |
| Año: | 1982 |
| Volumen: | 38 |
| Número: | 1 |
| Página de inicio: | 53 |
| Página de fin: | 59 |
| DOI: | http://dx.doi.org/10.1007/BF01395808 |
| Título revista: | Numerische Mathematik |
| Título revista abreviado: | Numer. Math. |
| ISSN: | 0029599X |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0029599X_v38_n1_p53_Milaszewicz |
Referencias:
- Krein, M.G., Rutman, M.A., Linear operators leaving invariant a cone in a Banach space (1962) Trans. AMS, Series 1, 10, pp. 199-325
- Milaszewicz, J.P., A generalization of the Stein-Rosenberg theorem to Banach spaces (1980) Numer. Math., 34, pp. 403-409
- Rheinboldt, W., Vandergraft, J., A simple approach to the Perron-Frobenius theory for positive operators on general partially-ordered finite dimensional linear spaces (1973) Mathematics of Computation, 27, pp. 139-145
- Robert, F.: Algorithmes tronqués de découpe linéaire. RAIRO, Revue de l'AFCET, 45–64 (1972); Robert, F., Autour du théorème de Stein-Rosenberg (1976) Numer. Math., 27, pp. 133-141
- Varga, R.S., (1962) Matrix iterative analysis, , Prentice Hall, Englewood Cliffs, N.J
Citas:
---------- APA ----------
(1982) . On fixed point linear equations. Numerische Mathematik, 38(1), 53-59.http://dx.doi.org/10.1007/BF01395808
---------- CHICAGO ----------
Milaszewicz, J.P. "On fixed point linear equations" . Numerische Mathematik 38, no. 1 (1982) : 53-59.http://dx.doi.org/10.1007/BF01395808
---------- MLA ----------
Milaszewicz, J.P. "On fixed point linear equations" . Numerische Mathematik, vol. 38, no. 1, 1982, pp. 53-59.http://dx.doi.org/10.1007/BF01395808
---------- VANCOUVER ----------
Milaszewicz, J.P. On fixed point linear equations. Numer. Math. 1982;38(1):53-59.http://dx.doi.org/10.1007/BF01395808
