Artículo
Milaszewicz, J.P.; Moledo, L.P. "On nonsingular M-matrices" (1993) Linear Algebra and Its Applications. 195(C):1-8
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Abstract:
We extend to nonsingular M-matrices the following result by G. Sierksma: If S is a nonsingular irreducible M-matrix and if x and y≠0 satisfy Sx=y, with xi>0 whenever yi<0, then all the coordinates in x are positive. This theorem has several corollaries dealing with bounds on solutions and their relative errors, which we also generalize. © 1993.
Registro:
| Documento: | Artículo |
| Título: | On nonsingular M-matrices |
| Autor: | Milaszewicz, J.P.; Moledo, L.P. |
| Filiación: | Departamento de Matemática Facultad de Ciencias Exactas y Naturales Ciudad Universitaria, 1428 Buenos Aires, Argentina Instituto de Investigaciones Económicas, Sociales Facultad de Ciencias Económicas Córdoba 2121, 1120 Buenos Aires, Argentina |
| Año: | 1993 |
| Volumen: | 195 |
| Número: | C |
| Página de inicio: | 1 |
| Página de fin: | 8 |
| DOI: | http://dx.doi.org/10.1016/0024-3795(93)90252-J |
| 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_v195_nC_p1_Milaszewicz |
Referencias:
- Schneider, The influence of the marked reduced graph of a nonnegative matrix on the Jordan form and on related properties: A survey (1986) Linear Algebra Appl., 84, pp. 161-189
- Sierksma, Nonnegative matrices: The open Leontief model (1979) Linear Algebra Appl., 26, pp. 175-201
- Varga, (1962) Matrix Iterative Analysis, , Prentice-Hall, Englewood Cliffs, N.J
Citas:
---------- APA ----------
Milaszewicz, J.P. & Moledo, L.P. (1993) . On nonsingular M-matrices. Linear Algebra and Its Applications, 195(C), 1-8.http://dx.doi.org/10.1016/0024-3795(93)90252-J
---------- CHICAGO ----------
Milaszewicz, J.P., Moledo, L.P. "On nonsingular M-matrices" . Linear Algebra and Its Applications 195, no. C (1993) : 1-8.http://dx.doi.org/10.1016/0024-3795(93)90252-J
---------- MLA ----------
Milaszewicz, J.P., Moledo, L.P. "On nonsingular M-matrices" . Linear Algebra and Its Applications, vol. 195, no. C, 1993, pp. 1-8.http://dx.doi.org/10.1016/0024-3795(93)90252-J
---------- VANCOUVER ----------
Milaszewicz, J.P., Moledo, L.P. On nonsingular M-matrices. Linear Algebra Its Appl. 1993;195(C):1-8.http://dx.doi.org/10.1016/0024-3795(93)90252-J
