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隋允康,兆文忠.非线性方程组的二次规划解法和应用[J].计算力学学报,2002,19(2):245~246
非线性方程组的二次规划解法和应用
A quadratic programming method for solving the NSE and its application
  修订日期:2000-05-20
DOI:10.7511/jslx20022053
中文关键词:  非线性方程组,二次规划,解法
英文关键词:nonlinear equations,quadratic programming method,
基金项目:北京市教委资助 (99L G-11),国家自然科学基金委资助 (10 0 72 0 0 5 ),北京市自然科学基金委资助 (3 0 0 2 0 0 2 )
隋允康  兆文忠
北京工业大学机电学院 北京100022 (隋允康)
,大连铁道学院机械系 大连116028(兆文忠)
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中文摘要:
      给出了非线性方程组的二次规划解法和应用 ,几个算例表明按拟牛顿法出现病态而不收敛 ,采用本法收敛极快。
英文摘要:
      After transforming the NSE (nonlinear simultaneous equations) into a problem of mathematical programming, it is taken as a model of the second order Taylor's expansions for objective and constraints' functions. Then the sequential quadratic programming is adopted to solve the model. Numerical examples show that their solutions have been quickly obtained by the method even if they diverge by the quasi\|Newton methods.
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