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迭代算法的广义Q-收敛阶和效率
Extension Definition on Q-rates of Convergence and Efficiency
【摘要】 推广了迭代算法收敛分析中的 Q 收敛阶的概念 ,据此给出了算法效率的一种一般的度量。分析了新效率定义与已有的 Ostrowski效率和 Brent效率之间的关系。这种度量适用于任何迭代算法 ,因而为分析算法的优劣提供了一个理论依据。
【Abstract】 The definition of Q rates of convergence in iterative algorithms is extened and the efficiency measure is developed. The relationship between the new definition of efficiency and the old two definitions of efficiency--Ostrowski efficiency and Brent efficiency was also analysed. Since this measure is suitable to every iterative algorithm, it provide a theoretical justification for the algorithm.
【关键词】 广义Q收敛阶;
Ostrowski效率;
Brent效率;
【Key words】 generalized Q rates of convergence; Ostrowski efficiency; Brent efficiency;
【Key words】 generalized Q rates of convergence; Ostrowski efficiency; Brent efficiency;
【基金】 国家自然科学基金资助项目
- 【文献出处】 中国农业大学学报 ,Journal of China Agricultural University , 编辑部邮箱 ,2001年06期
- 【分类号】O224
- 【被引频次】1
- 【下载频次】49