| CONVERGENCE OF INEXACT CONIC NEWTON METHODS |
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| 引用本文： | 胡蓉,盛松柏. CONVERGENCE OF INEXACT CONIC NEWTON METHODS[J]. 高等学校计算数学学报(英文版), 1998, 0(2) |
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| 作者姓名： | 胡蓉 盛松柏 |
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| 作者单位： | Hu Rong Sheng Song-baiDepartment of Mathematics，Nanjing Univversity，Nanjing 210093，PRC. College of Science，Nanjing Univversity of Aeronautics and Astronautics，Nanjing 210016，PRC. |
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| 摘 要： | A conic Newton method is attractive because it converges to a local minimizzer rapidly from any sufficiently good initial guess. However, it may be expensive to solve the conic Newton equation at each iterate. In this paper we consider an inexact conic Newton method, which solves the couic Newton equation oldy approximately and in sonm unspecified manner. Furthermore, we show that such method is locally convergent and characterizes the order of convergence in terms of the rate of convergence of the relative residuals.
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CONVERGENCE OF INEXACT CONIC NEWTON METHODS* |
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| Hu Rong Sheng Song-bai. CONVERGENCE OF INEXACT CONIC NEWTON METHODS*[J]. Numerical Mathematics A Journal of Chinese Universities English Series, 1998, 0(2) |
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| Authors: | Hu Rong Sheng Song-bai |
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| Affiliation: | Hu Rong Sheng Song-baiDepartment of Mathematics,Nanjing Univversity,Nanjing 210093,PRC. College of Science,Nanjing Univversity of Aeronautics and Astronautics,Nanjing 210016,PRC. |
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| Abstract: | |
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| Keywords: | Inexact conic Newton method conic Newton equation relative residual Newton equation forcing sequence |
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