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/