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

Lian-sheng Zhang

DOI:

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

Published online: 1988-06

Preview Full PDF 16 894
Export citation
  • Abstract

We give an approch 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 glovbal 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.  

  • Keywords

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JCM-6-375, author = {}, 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 approch 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 glovbal 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 JO - Journal of Computational Mathematics VL - 4 SP - 375 EP - 382 PY - 1988 DA - 1988/06 SN - 6 DO - http://dor.org/ UR - https://global-sci.org/intro/article_detail/jcm/9525.html KW - AB - We give an approch 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 glovbal 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.  
Lian-sheng Zhang. (2019). An Approach to Finding a Global Minimization with Equality and Inequality Constraints. Journal of Computational Mathematics. 6 (4). 375-382. doi:
Copy to clipboard
The citation has been copied to your clipboard