Modified T-F function method for finding global minimizer on unconstrained optimization (Q1958866)

Summary: This paper indicates that the filled function which appeared in a paper by \textit{Y.-L. Shang} et al. [Appl. Math. Comput. 191, No.~1, 176--182 (2007; Zbl 1193.90174)] is also a tunneling function; that is, we prove that, under some general assumptions, this function has the characters of both a tunneling function and a filled function. A solution algorithm based on this T-F function is given and numerical tests from test functions show that our T-F function method is very effective in finding better minima.