본문 바로가기
KERD
논문KCI 등재

A NOVEL FILLED FUNCTION METHOD FOR GLOBAL OPTIMIZATION

Yongjian Yang|Youjiang Lin|Liansheng Zhang
대한수학회 (The Korean Mathematical Society)|2010.11|대한수학회지 (Journal of the KMS)|제47권 제6호|pp. 1253-1267

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

global minimizerfilled functionunconstrained global optimization
주제분류수학

초록

This paper considers the unconstrained global optimization with the revised filled function methods. The minimization sequence could leave from a local minimizer to a better minimizer of the objective function through minimizing an auxiliary function constructed at the local minimizer. Some promising numerical results are also included.

Abstract

This paper considers the unconstrained global optimization with the revised filled function methods. The minimization sequence could leave from a local minimizer to a better minimizer of the objective function through minimizing an auxiliary function constructed at the local minimizer. Some promising numerical results are also included.

참고문헌 (10)

  1. X. Chen, "Lagrangian globalization methods for nonlinear complementarity problems", J. Optim. Theory Appl., 112(1), pp.77~95 (2002)
  2. R. Ge, "A filled function method for finding a global minimizer of a function of several variables", Math. Program.(Ser. A), 46(2), pp.191~204 (1990)
  3. R. Ge, "The globally convexized filled functions for global optimization", Appl. Math. Comput., 35(2), pp.131~158 (1990)
  4. X. Liu, "Several filled functions with mitigators", Appl. Math. Comput., 133(2), pp.375~387 (2002)
  5. Z. Y.Wu, "A novel filled function method and quasi-filled function method for global optimization", Comput. Optim. Appl., 34(2), pp.249~272 (2006)
  6. Z. Y. Wu, "A filled function method for nonlinear equations", Appl. Math. Comput., 189(2), pp.1196~1204 (2007)
  7. Z. Xu, "Filled functions for unconstrained global optimization", J. Global Optim., 20(1), pp.49~65 (2001)
  8. Y. Yang, "A new filled function method for unconstrained global optimization", Appl. Math. Comput., 173(1), pp.501~512 (2006)
  9. L. S. Zhang, "A new filled function method for global optimization", J. Global Optim., 28(1), pp.17~43 (2004)
  10. Q. Zheng, "Integral global minimization: algorithms, implementations and numerical tests", J. Global Optim., 7(4), pp.421~454 (1995)

관련 논문AI추천

Polynomial-Filled Function Algorithm for Unconstrained Global Optimization ProblemsRidwan Pandiya, Salmah경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2024 · 제64권 제1호A FILLED FUNCTION METHOD FOR BOX CONSTRAINED NONLINEAR INTEGER PROGRAMMINGYongjian Yang, Youjiang Lin대한수학회 · 대한수학회지2011 · 제48권 제5호MODIFIED LIMITED MEMORY BFGS METHOD WITH NONMONOTONE LINE SEARCH FOR UNCONSTRAINED OPTIMIZATIONGonglin Yuan, Yanlin Wu, Zengxin Wei대한수학회 · 대한수학회지2010 · 제47권 제4호Global convergence of an efficient hybrid conjugate gradient method for unconstrained optimizationJinkui Liu, Xianglin Du대한수학회 · 대한수학회보2013 · 제50권 제1호A CLASS OF NONMONOTONE SPECTRAL MEMORY GRADIENT METHODJingzhao Liu, Jinsong Zang, Zhensheng Yu대한수학회 · 대한수학회지2010 · 제47권 제1호An active set SQP-filter method for solving nonlinear programmingHui An, Ke Su, Yingna Yuan영남수학회 · East Asian Mathematical Journal2012 · 제28권 제3호

이 간행물의 다른 논문 (14건)

ON MIXED TWO-TERM EXPONENTIAL SUMSZhang Tianpingpp. 1107-1122EIGENVALUE PROBLEM OF BIHARMONIC EQUATION WITH HARDY POTENTIALYangxin Yao, Shaotong He, Qingtang Supp. 1123-1135ON THE GOODNESS OF FIT TEST FOR DISCRETELY OBSERVED SAMPLE FROM DIFFUSION PROCESSES: DIVERGENCE MEASURE APPROACH이상열pp. 1137-1146SPLITTING TYPE, GLOBAL SECTIONS AND CHERN CLASSES FOR TORSION FREE SHEAVES ON PNCristina Bertone, Margherita Roggeropp. 1147-1165HIGHER WEIGHTS AND GENERALIZED MDS CODES한성휴, Steven T. Doughertypp. 1167-1182
원문 보기