| A COLUMN-SECANT UPDATE TECHNIQUE FOR SOLVING SYSTEM OF NONLINEAR EQUATIONS |
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| 引用本文： | 李光烨,刘停战. A COLUMN-SECANT UPDATE TECHNIQUE FOR SOLVING SYSTEM OF NONLINEAR EQUATIONS[J]. 高等学校计算数学学报(英文版), 1995, 0(2) |
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| 作者姓名： | 李光烨 刘停战 |
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| 作者单位： | Institute of Mathematics，Jilin University，Changchun 130023，PRC，Institute of Mathematics，Jilin University，Changchun 130023，PRC |
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| 基金项目： | State Major Key Project for Basic Researches in China |
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| 摘 要： | In this paper,we present a column-secant modification of the SCC method,which is called the CSSCC method.The CSSCC method uses function values more efficiently than the SCC method,and it is shown that the CSSCC method has better local q-convergence and r-convergence rates than the SCC method.The numerical results show that the CSSCC method is competitive with some well known methods for some standard test problems.
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A COLUMN-SECANT UPDATE TECHNIQUE FOR SOLVING SYSTEM OF NONLINEAR EQUATIONS |
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| Li Guang-ye Institute of Mathematics,Jilin University,Changchun ,PRC,Liu Ting-zhan Institute of Mathematics,Jilin University,Changchun ,PRC. A COLUMN-SECANT UPDATE TECHNIQUE FOR SOLVING SYSTEM OF NONLINEAR EQUATIONS[J]. Numerical Mathematics A Journal of Chinese Universities English Series, 1995, 0(2) |
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| Authors: | Li Guang-ye Institute of Mathematics Jilin University Changchun PRC Liu Ting-zhan Institute of Mathematics Jilin University Changchun PRC |
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| Affiliation: | Li Guang-ye Institute of Mathematics,Jilin University,Changchun 130023,PRC,Liu Ting-zhan Institute of Mathematics,Jilin University,Changchun 130023,PRC |
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| Abstract: | In this paper,we present a column-secant modification of the SCC method,which is called the CSSCC method.The CSSCC method uses function values more efficiently than the SCC method,and it is shown that the CSSCC method has better local q-convergence and r-convergence rates than the SCC method.The numerical results show that the CSSCC method is competitive with some well known methods for some standard test problems. |
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| Keywords: | nonlinear equations Jacobian Newton's method q-convergence |
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