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Volume 6, Issue 4
An Approach to Finding a Global Minimization with Equality and Inequality Constraints

Lian-Sheng Zhang

J. Comp. Math., 6 (1988), pp. 375-382.

Published online: 1988-06

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  • Abstract

We give an approach for finding a global minimization with equality and inequality Constraints.
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 global minimal points. Thus we convert the problem of global constrained optimization into a problem of global unconstrained optimization.
Furthermore, the integral approach for finding a global minimization for a class of discontinuous functions is used and an implementable algorithm is given.  

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@Article{JCM-6-375, author = {Zhang , Lian-Sheng}, title = {An Approach to Finding a Global Minimization with Equality and Inequality Constraints}, journal = {Journal of Computational Mathematics}, year = {1988}, volume = {6}, number = {4}, pages = {375--382}, abstract = {

We give an approach for finding a global minimization with equality and inequality Constraints.
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 global minimal points. Thus we convert the problem of global constrained optimization into a problem of global unconstrained optimization.
Furthermore, the integral approach for finding a global minimization for a class of discontinuous functions is used and an implementable algorithm is given.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9525.html} }
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 -

We give an approach for finding a global minimization with equality and inequality Constraints.
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 global minimal points. Thus we convert the problem of global constrained optimization into a problem of global unconstrained optimization.
Furthermore, the integral approach for finding a global minimization for a class of discontinuous functions is used and an implementable algorithm is given.  

Zhang , Lian-Sheng. (1988). An Approach to Finding a Global Minimization with Equality and Inequality Constraints. Journal of Computational Mathematics. 6 (4). 375-382. doi:
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