| 非线性多分裂两侧单调逼近割线法 |
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| 引用本文： | 李庆扬,陆小援.非线性多分裂两侧单调逼近割线法[J].清华大学学报(自然科学版),1996(2). |
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| 作者姓名： | 李庆扬 陆小援 |
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| 作者单位： | 清华大学应用数学系!北京100084 |
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| 摘 要： | 给出一种求解非线性方程组的并行多分裂两侧单调割线法，并证明了方法的单调收敛性，它是序区间割线法的推广，适合于在多台处理机上并行计算，算法简便，计算量省。文中还给出正则多分裂和斜度矩阵等概念及性质。
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| 关 键 词： | 非线性方程组 并行多分裂 序区间割线法 |
Two-side monotone approximate secant method for nonlinear multisplitting |
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| Li Qingyang,Lu Xiaoyuan.Two-side monotone approximate secant method for nonlinear multisplitting[J].Journal of Tsinghua University(Science and Technology),1996(2). |
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| Authors: | Li Qingyang Lu Xiaoyuan |
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| Abstract: | A parallel multisplitting two-side monotone approximate secant method for nonlinear system is given and its monotone convergence is proved. It is an extension of the order interval secant method and suited for parallel calculation on multiprocessors. The method has advantages of calculating easily and saving amount of calculation work. Some basic concepts and properties of regular multisplitting and slope matrix are given. |
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| Keywords: | nonlinear equations parallel multisplitting order interval secant method |
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