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International Journal of Systems Science Volume 43, 2012 - Issue 4
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Original Articles

Finding global minima with a novel filled function for non-smooth unconstrained optimisation

Wei-Xiang Wang Department of Mathematics, Shanghai Second Polytechnic University, Shanghai 201209, ChinaCorrespondence[email protected]
,
You-Lin Shang Department of Mathematics, Henan University of Science and Technology, Luoyang 471003, China
&
Ying Zhang Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China
Pages 707-714 | Received 06 Nov 2009, Accepted 28 Jul 2010, Published online: 30 Sep 2010

References

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  • Clarke , FH . 1983 . Optimization and Non-smooth Analysis , New York : John Wiley and Sons .
  • Ge , RP and Qin , YF . 1987 . A Class of Filled Functions for Finding a Global Minimiser of a Function of Several Variables . Journal of Optimization Theory and Applications , 54 : 241 – 252 .
  • Ge , RP . 1990 . A Filled Function Method for Finding a Global Minimiser of a function of Several Variables . Mathematical Programming , 46 : 191 – 204 .
  • Liu , X . 2004 . Finding Global Minima with a Computable Filled Function . Computers and Operations Research , 31 : 61 – 80 .
  • Price , CJ , Robertson , BL and Reale , M . 2009 . A Hybrid Hooke and Jeeves - Direct Method for Non-smooth Optimisation . Advanced Modeling and Optimization , 11 : 43 – 61 .
  • Wu , Q , Liu , SY and Zhang , LY . 2004 . A Modified Filled Function Method for a Global Minimiser of Non-smooth Programming Problem . Mathematica Applicata , 17 : 36 – 40 .
  • Yang , YJ and Shang , YL . 2006 . A New Filled Function Method for Unconstrained Global Optimisation . Applied Mathematics and Computation , 173 : 501 – 512 .
  • Zhang , LS . 2009 . On the Solving Global Optimisation Approach from Local to Global . Journal of Chongqing Normal University(Natural Science) , 26 : 1 – 6 .
  • Zhang , LS , Ng , CK , Li , D and Tian , WW . 2004 . A New Filled Function Method for Global Optimisation . Journal of Global Optimization , 28 : 17 – 43 .
  • Zhang , Y , XU , YT and Zhang , YW . 2008 . A Two-parameter New Filled Function for Non-smooth Global Optimisation . Mathematica Applicata , 21 : 558 – 565 .

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