Historical Development of the BFGS Secant Method and Some of Its Characterization Properties
In my research, I wish to provide a plausible explanation of why the BFGS Method is the preferred secant update method for unconstrained optimization. I am currently writing a complete historical development of the BFGS Secant Method including some of its uniqueness properties and previous characterizations. I want to derive a new characterization that demonstrates an interesting robustness property of the BFGS Secant Method that may explain its superior behavior.My currriculum vitae.
National Council of Teachers of Mathematics (NCTM) Annual Meeting, Talk: "Did the Babylonians Know the Secant Method in 1-D?" April 11, 2008.