| 一个并行计算多项式全部零点的圆盘迭代法 |
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| 引用本文： | 孙方裕.一个并行计算多项式全部零点的圆盘迭代法[J].浙江大学学报(理学版),2000,34(4):355-360. |
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| 作者姓名： | 孙方裕 |
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| 作者单位： | 浙江大学数学系!浙江杭州310028 |
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| 基金项目： | 浙江省自然科学基金!(1990 14) |
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| 摘 要： | 运用加速技巧,提出了求解复多项式全部零点的圆盘算术法,考虑了其收敛定理和收敛条件,使收敛价提高到7阶,而计算工作量增加不多.
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| 关 键 词： | 迭代方法 圆盘算术 多项式零点 加速技巧 收敛阶 |
| 修稿时间： | 1999-09-24 |
A circular iteration for simultanoeus finding all zeros of polynomial |
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| SUN Fang\|yu.A circular iteration for simultanoeus finding all zeros of polynomial[J].Journal of Zhejiang University(Sciences Edition),2000,34(4):355-360. |
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| Authors: | SUN Fang\|yu |
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| Institution: | Department o f Mathematics, Zhejiang University, Hangzhou 310028,China |
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| Abstract: | Using the accelerating techniques, a new simultaneous method for finding all complex zeros in circular interval arithmetic was proposed. The convergence theorem and the conditions for convergence were considered. The iteration has convergence of order 7 without computing derivatives. |
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| Keywords: | iterative method circular arithmetic zeros of polynomial accelerating techniques order of convergence |
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