| 求解复系数线性方程组的实域WZ算法 |
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| 引用本文： | 李师广,周钢,蔡良彬.求解复系数线性方程组的实域WZ算法[J].上海交通大学学报,2004,38(1):135-137. |
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| 作者姓名： | 李师广 周钢 蔡良彬 |
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| 作者单位： | 1. 上海交通大学,信息检测及仪器系,上海,200030
2. 上海交通大学,数学系,上海,200030 |
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| 基金项目： | 国家自然科学基金资助项目(50376039) |
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| 摘 要： | 证明了复矩阵进行LR分解和转化的实矩阵进行WZ分解是等价的，得到了计算复系数线性方程组的一种新并行方法——实域WZ方法．给出的算例表明，该算法具有较高的计算精度。
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| 关 键 词： | 复系数 矩阵分解 并行算法 实域 |
| 文章编号： | 1006-2467(2004)01-0135-03 |
| 修稿时间： | 2002年12月10 |
Real Domain WZ Algorithm for Solving Linear Equations with Complex Coefficients |
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| LI Shi-guang,ZHOU Gang,CAI Liang-bin.Real Domain WZ Algorithm for Solving Linear Equations with Complex Coefficients[J].Journal of Shanghai Jiaotong University,2004,38(1):135-137. |
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| Authors: | LI Shi-guang ZHOU Gang CAI Liang-bin |
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| Institution: | LI Shi-guang~1,ZHOU Gang~2,CAI Liang-bin~1 |
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| Abstract: | The necessary and sufficient condition was proved that LR factorization of the complex coefficient matrix is equivalent to WZ factorization of the real coefficient matrix transformed. A new parallel method, real domain WZ factorization, was given to solve linear equations with complex coefficients. An illustrative example was given to demonstrate the high precision of the proposed method. |
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| Keywords: | complex coefficients matrix factorization parallel algorithm real domain |
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