This article presents a simple method for bounding a solution of a system of linear equations with an M-matrix and positive right-hand side [1]. Given a suitable approximation to an exact solution, the bounds are constructed by one step in a basic iterative method.
@article{702829,
title = {The use of basic iterative methods for bounding a solution of a system of linear equations with an M-matrix and positive right-hand side},
booktitle = {Programs and Algorithms of Numerical Mathematics},
series = {GDML\_Books},
publisher = {Institute of Mathematics AS CR},
address = {Prague},
year = {2006},
pages = {143-148},
url = {http://dml.mathdoc.fr/item/702829}
}
Kocurek, Martin. The use of basic iterative methods for bounding a solution of a system of linear equations with an M-matrix and positive right-hand side, dans Programs and Algorithms of Numerical Mathematics, GDML_Books, (2006), pp. 143-148. http://gdmltest.u-ga.fr/item/702829/