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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| Autores principales: | , |
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| Formato: | JOUR |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00243795_v195_nC_p1_Milaszewicz |
| Aporte de: |
| Sumario: | 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. |
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