TY - JOUR
T1 - An Approach to Finding a Global Minimization with Equality and Inequality Constraints
AU - Zhang , Lian-Sheng
JO - Journal of Computational Mathematics
VL - 4
SP - 375
EP - 382
PY - 1988
DA - 1988/06
SN - 6
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9525.html
KW - 
AB - <p style="text-align: justify;">We give an approach for finding a global minimization with equality and inequality Constraints.<br/>Our approach is to construct an exact penalty function, and prove that the global minimal points of this exact penalty function are the primal constrained <span style="text-align: justify;">global</span> minimal points. Thus we convert the problem of global constrained optimization into a problem of global unconstrained optimization. <br/>Furthermore, the integral approach for finding a global minimization for a class of discontinuous functions is used and an implementable algorithm is given. &nbsp;</p>