Broyden updating, the good and the bad!
Summary: So far so good! We had an updating procedure (the `ful secant method') that seemed to work provided that certain conditions of linear independence were satisfied, but the problem was that it did not work very well. In fact, it proved to be quite numerically unstable. (cf. [\textit{C. G. Broyden}, On the discovery of the ``good Broyden'' method, Math. Program. 87, No. 2 (B), 209--213 (2000; Zbl 0970.90002)])
scientific article; zbMATH DE number 6155100