| A NONMONOTONE TRUST REGION METHOD FOR NONLINEAR LEAST SQUARES PROBLEMS |
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| 作者姓名： | 邓乃扬 肖奕 周方俊 吴育华 |
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| 作者单位： | Deng Nai-yang Beijing Agricultural Engineering University，Beijing 100083，PRC. Xiao Yi Department of Applied Mathematics，Beijing Polytechnic University，Beijing 100022，PRC. Zhou Fang-jun Department of Applied Mathematics，Tsinghua University，Beijing100084，PRC. Wu Yu-hua Department of Applied Mathematics，Tianjin University，Tianjin300072，PRC. |
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| 基金项目： | State Major Key Project for Basic Researches，Decision Making and Information System Laboratory，Academy of Science of China，Natural Science Foundation of Tsinghua University. |
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| 摘 要： | In this paper we present a nonmonotone trust region method for nonlinear least squares problems with zero-residual and prove its convergence properties. The extensive numerical results are reported which show that the nonmonotone trust region method is generally superior to the usual trust region method.
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A NONMONOTONE TRUST REGION METHOD FOR NONLINEAR LEAST SQUARES PROBLEMS |
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| Deng Nai-yang Beijing Agricultural Engineering University,Beijing ,PRC. Xiao Yi.A NONMONOTONE TRUST REGION METHOD FOR NONLINEAR LEAST SQUARES PROBLEMS[J].Numerical Mathematics A Journal of Chinese Universities English Series,1994(1). |
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| Authors: | Deng Nai-yang Beijing Agricultural Engineering University Beijing PRC Xiao Yi |
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| Institution: | Deng Nai-yang Beijing Agricultural Engineering University,Beijing 100083,PRC. Xiao Yi Department of Applied Mathematics,Beijing Polytechnic University,Beijing 100022,PRC. Zhou Fang-jun Department of Applied Mathematics,Tsinghua University,Beijing100084,PRC. Wu Yu-hua Department of Applied Mathematics,Tianjin University,Tianjin300072,PRC. |
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| Abstract: | In this paper we present a nonmonotone trust region method for nonlinear least squares problems with zero-residual and prove its convergence properties. The extensive numerical results are reported which show that the nonmonotone trust region method is generally superior to the usual trust region method. |
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| Keywords: | trust region method nonlinear least squares nonmonotone method |
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