@Article{Gurwitz:1992:TCE, author = "Chaya Gurwitz", title = "A Test for Cancellation Errors In Quasi-{Newton} Methods", journal = "{ACM} Transactions on Mathematical Software", volume = "18", number = "2", pages = "134--140", month = jun, year = "1992", CODEN = "ACMSCU", ISSN = "0098-3500", MRclass = "65K10 (90C30)", MRnumber = "1 167 884", URL = "http://doi.acm.org/10.1145/146847.146876", abstract = "It has recently been shown that cancellation errors in a quasi-Newton method can increase without bound as the method converges. A simple test is presented to determine when cancellation errors could lead to significant contamination of the approximating matrix.", keywords = "algorithms", subject = "{\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Reliability and robustness.", }