@Article{JCM-15-327, author = {Marcotte , Patrice and Wu , Shiquan}, title = {Finding the Strictly Local and $\epsilon $-Global Minimizers of Concave Minimization with Linear Constraints}, journal = {Journal of Computational Mathematics}, year = {1997}, volume = {15}, number = {4}, pages = {327--334}, abstract = {

This paper considers the concave minimization problem with linear constraints, proposes a technique which may avoid the unsuitable Karush-Kuhn-Tucker points, then combines this technique with Frank-Wolfe method and simplex method to form a pivoting method which can determine a strictly local minimizer of the problem in a finite number of iterations. Based on strictly local minimizers, a new cutting plane method is proposed. Under some mild conditions, the new cutting plane method is proved to be finitely terminated at an $\epsilon $-global minimizer of the problem.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9210.html} }