| 复数平方根z~(1/2)的有效算法 |
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| 引用本文： | 熊规景.复数平方根z~(1/2)的有效算法[J].高校应用数学学报(A辑),1992(4). |
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| 作者姓名： | 熊规景 |
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| 作者单位： | 武汉市中科院武汉数学物理研究所 邮码 |
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| 摘 要： | 本文为复数平方根之主值z~(1/2)提供一适用于计算机的有效算法.该算法除已克服有效数字消失、从而能确保计算结果的精度之外,还有处理简单统一、适用范围广的优点.在附录中给出了极坐标与直角坐标互换的实用算法.
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| 关 键 词： | 平方根 主值 算法 精度 |
AN EFFECTIVE ALGORITHM FOR THE SQUARE ROOT z~(1/2) OF A COMPLEX NUMBER |
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| Xiong Guijing.AN EFFECTIVE ALGORITHM FOR THE SQUARE ROOT z~(1/2) OF A COMPLEX NUMBER[J].Applied Mathematics A Journal of Chinese Universities,1992(4). |
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| Authors: | Xiong Guijing |
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| Abstract: | In this paper, an effective algorithm is proposed for computers to calculate the principal value of the square root z~(1/2) of a complex number. The algorithm has got rid of the vanishing of the significant digits, ensuring the precision of the computation. In addition, the algorithm has a wide prospect with its simple and single treatment. Finally, a practical algorithm is given in the Appendix for the transformation between polar coordinates and rectangular coordinates. |
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| Keywords: | Square Root Principal Value Algorithm Precision |
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