期刊文献+

广义最速下降法逼近拟增生算子方程解的一个特征条件

A Characteristic Condition for Convergence of Generalized Steepest Descent Method for the Solutions of Quasi-Accretive Operators Equations
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摘要 倪仁兴最近的文章研究了广义最速下降法强收敛于拟增生算子方程解的一特征条件.本文对此进行了修正和改进,给出了一个新的特征条件.所得结果同时改进和推广了一些已有的结果. Recently, Ni Ren-xing studied a characteristic condition for a generalized steepest descent method to converge to the solutions of quasi-accretive operators equations. In this paper, we revise and improve the results of Ni, and give a new characteristic condition. Our results also improve and extend some existing ones.
作者 王朝 刘理蔚
机构地区 南昌大学数学系
出处 《应用泛函分析学报》 CSCD 2008年第3期283-288,共6页 Acta Analysis Functionalis Applicata
基金 国家自然科学基金(10561007) 江西省自然科学基金(0411036)
关键词 广义最速下降法 拟增生算子 特征条件 generalized steepest descent method quasi-accretive operator characteristic condition
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参考文献6

  • 1Ni Ren-xing. A characteristic condition for convergence of generalized steepest descent method for quasiaccretive operators equations[J]. Acta Math Since, 2005,48 (1) : 115-123.
  • 2Xu Z B, Roach G F. A necessary and sufficient condition for convergence of steepest descent approximation to accretive operator equations [J]. J Math Appl, 1992,167(2):340-354.
  • 3Chidume C E. Steepest descent approximation for accretive operator equations [J]. Nonlinear Anal,1996, 26(2)1299-311.
  • 4Zhou H Y. A note on theorem of Xu and Roach[J]. J Math Anal Appl,1998,227(2):300-304.
  • 5Zhou H Y. A characteristic condition for convergence of steepest descent approx-imation to accretive operator equations[J]. J Math Anal Appl,2002,271(1):1 6.
  • 6Chang S S. Some problems and results in the study of nonlinear analysis[J]. Nonlinear Anal TMA, 1997, 30:4197-4208.

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