In the spirit of ~VILKINSON'S [1, 2] backward error analysis, conditions axe established under which a given approximate solution of a system of n linear equations with n unknowns is the exact solution of a modified system whose coefficients and right-hand sides are within a given neighborhood of those of the original system.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.