| 人工释能法求解线性代数方程组 |
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| 引用本文： | 颜庆津.人工释能法求解线性代数方程组[J].北京航空航天大学学报,1993(3):104-111. |
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| 作者姓名： | 颜庆津 |
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| 作者单位： | 北京航空航天大学应用数理系 |
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| 摘 要： | 本文建立求解线性代数方程组的人工释能法迭代格式,并给出该迭代格式收敛的充分必要条件和最佳释能时机,同时给出实现人工释能法的数值计算方法及其数值稳定性条件。
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| 关 键 词： | 人工释能法 线性代数方程 收敛 |
THE METHOD OF ARTIFICIAL RELEASE OF ENERGY FOR SOLVING THE SYSTEM OF LINEAR ALGEBRAIC EQUATIONS |
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| Yan Qingjin.THE METHOD OF ARTIFICIAL RELEASE OF ENERGY FOR SOLVING THE SYSTEM OF LINEAR ALGEBRAIC EQUATIONS[J].Journal of Beijing University of Aeronautics and Astronautics,1993(3):104-111. |
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| Authors: | Yan Qingjin |
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| Abstract: | This article establishes the iteration formula of the method of artificial release of energy for solving the system of linear algebraic equations, and gives the necessary and sufficient condition of convergence and the optimum time of release energy of the above iteration formula. Meanwhile,it shows the method of numerical computation for realizing the artificial release of energy and the condition of numerical stability of the method. |
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| Keywords: | the method of artificial release of energy system of linear algebraic equations convergence iteration optimum time of release energy numerical stability |
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