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一种改进的BFGS算法及其全局收敛性分析 被引量:2

A new quasi-Newton algorithms and its global convergent characteristic
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摘要 针对无约束最优化问题,提出了一个基于新拟牛顿方程Bk+1sk=yk*的新改进BFGS算法,并在目标函数一致凸的假设条件下证明了该算法的全局收敛性。 In this paper, a new modified BFGS algorithm based on the new quasi-Newton equation Bk+1.5k =yk^* is presented and the global convergence is proved on uniformly convex problems.
出处 《河北科技大学学报》 CAS 北大核心 2009年第1期8-10,共3页 Journal of Hebei University of Science and Technology
关键词 无约束最优化 新拟牛顿方程 新改进算法 全局收敛性 unconstrained optimization new quasi-Newton equation new modified quasi-Newton algorithm global conver gence
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参考文献4

  • 1焦宝聪.一类改进BFGS算法及其收敛性分析[J].数学的实践与认识,1999,29(2):143-149. 被引量:8
  • 2WEI Z, YU G. Some recent progress in unconstrained nonlinear optimization[A]. The 2003's International Conference on Numerical Optimization and Numerical Linear Algebra[C]. Beijing/New york: Science Press,2004.
  • 3王海滨.基于新拟牛顿方程的一类改进BFGS算法[J].淮海工学院学报(自然科学版),2004,13(1):7-10. 被引量:6
  • 4BYRD R H, NOCEDAL J. A tool for analysis of guasi-newton methods with application to unconstrained minimization[J]. SIAM J Numer Anal, 1989,26 (5) : 729-739.

二级参考文献9

  • 1Biggs M C. Minimization algorithms making use of nonquadratic of the objective function[J]. Journal of the Institute of Mathematics and Applications, 1971,(8):315-327.
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  • 3Byrd R H,Nocedal J. A tool for the analysis of quasi-Newton methods with application to unconstrained minimization[J]. SIAM J of Numeri, 1989,26 (3) :729-733.
  • 4Biggs M C. Minimization algorithms making use of nonquadratic of the objective function[J].Journal of the Institute of Mathematics and Applications,1971,(8):315-327.
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  • 9焦宝聪.一类改进BFGS算法及其收敛性分析[J].数学的实践与认识,1999,29(2):143-149. 被引量:8

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