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论强单调算子下的邻点算法

On the Proximal Point Algorithm for Strongly Monotone Operators
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摘要 考虑强单调算子下的邻点算法.证明了它容许弱于可和性条件的绝对误差以及每个松弛因子不超过某个较小正数的相对误差. Consider the proximal point algorithm for strongly monotone operators.It is proved that it allows for absolute error criterion with weaker summability and relative error criterion whose relaxation factor may be some constant.
作者 董云达
机构地区 郑州大学数学系
出处 《数学的实践与认识》 CSCD 北大核心 2010年第21期167-170,共4页 Mathematics in Practice and Theory
基金 郑州大学人才引进基金 国家青年基金(10702065)
关键词 强单调算子 邻点算法 收敛性 误差准则 strongly monotone operator the proximal point algorithm convergence error criterion
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参考文献8

  • 1Martinet B. Regularisation d'inequations variationelles par approximations successives[J]. Rev Francaise Inf Rech Oper, 1970, 4: 154-158.
  • 2Rockafellar R T. Monotone operators and proximal point algorithm[J]. SIAM Journal on Control and Optimization, 1976, 14: 877-898.
  • 3Luque F J. Asymptotic convergence analysis of the proximal point algorithm[J]. SIAM Journal on Control and Optimlzation, 1984, 22: 277-293.
  • 4Dong Y D. A new relative error criterion for the proximal point algorithm[J]. Nonlinear Analysis, TMA, 2006, 64: 2143-2148.
  • 5Dong Y D and Fischer A. A framework for analyzing local convergence properties with applications to proximal point algorithms[J]. Journal of Optimization Theory and Applications, 2006, 131(1): 53-68.
  • 6Minty G J. Monotone (nonlinear) operators in Hilbert space[J]. Duke Mathematics Journal, 1962, 29: 341-346.
  • 7Ljubomir, Cirid et al. On the steepest descent approximation method for zeros of generalized accerative operators[J]. Nonlinear Analysis, TMA, 2008, 69(2): 763-769.
  • 8Dong Y D. Splitting Methods for Monotone Inclusions. Doctoral Dissertation[M]. Nanjing University, 2003.

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