On nonsingular M-matrices
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...
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todo:paper_00243795_v195_nC_p1_Milaszewicz2023-10-03T14:34:44Z On nonsingular M-matrices Milaszewicz, J.P. Moledo, L.P. 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. Fil:Milaszewicz, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00243795_v195_nC_p1_Milaszewicz |
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Universidad de Buenos Aires |
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I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
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. |
| format |
JOUR |
| author |
Milaszewicz, J.P. Moledo, L.P. |
| spellingShingle |
Milaszewicz, J.P. Moledo, L.P. On nonsingular M-matrices |
| author_facet |
Milaszewicz, J.P. Moledo, L.P. |
| author_sort |
Milaszewicz, J.P. |
| title |
On nonsingular M-matrices |
| title_short |
On nonsingular M-matrices |
| title_full |
On nonsingular M-matrices |
| title_fullStr |
On nonsingular M-matrices |
| title_full_unstemmed |
On nonsingular M-matrices |
| title_sort |
on nonsingular m-matrices |
| url |
http://hdl.handle.net/20.500.12110/paper_00243795_v195_nC_p1_Milaszewicz |
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AT milaszewiczjp onnonsingularmmatrices AT moledolp onnonsingularmmatrices |
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1807315641379586048 |