Indices of convexity and concavity. Application to Halley method
作者: M.A. HernándezM.A. Salanova
作者单位: 1Department of Mathematics and Computation, University of La Rioja, C/Luis de Ulloa s/n, 26004 Logroño, Spain
刊名: Applied Mathematics and Computation, 1999, Vol.103 (1), pp.27-49
来源数据库: Elsevier Journal
DOI: 10.1016/S0096-3003(98)10047-4
关键词: Convex functionNonlinear equations in Banach spacesThird-order methodHalley methodMajorizing sequences
原始语种摘要: Abstract(#br)We define an index to measure the convexity of a convex function f at each point. We use this index to establish conditions on the convergence of the Halley method in the complex plane and in Banach spaces.
全文获取路径: Elsevier  (合作)
影响因子:1.349 (2012)

  • convexity 凸起比
  • method 方法
  • concavity 凹度
  • define 确定
  • convergence 汇合
  • complex 超群
  • measure 测度
  • Application 应用
  • point 
  • establish 建立