| 求解多解广义绝对值方程的区间二分法 |
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| 引用本文： | 王爱祥.求解多解广义绝对值方程的区间二分法[J].井冈山大学学报（自然科学版）,2017(5):12-16. |
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| 作者姓名： | 王爱祥 |
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| 作者单位： | 常州工学院机械与车辆工程学院, 江苏, 常州 213032 |
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| 摘 要： | 针对广义绝对值方程的求解问题,一个基于区间数学的算法被提出。在一个较大的范围内,不断将区间对分和删除,搜索到广义绝对值方程的每一个解。最后,数值算例也验证了算法的有效性。
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| 关 键 词： | 广义绝对值方程 多解 区间算法 Krawczyk算子 |
| 收稿时间： | 2016/9/24 0:00:00 |
| 修稿时间： | 2016/11/5 0:00:00 |
AN INTERVAL BISECTION METHOD FOR SOLVING GENERALIZED ABSOLUTE VALUE EQUATIONS WITH MULTIPLE SOLUTIONS |
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| WANG Ai-xiang.AN INTERVAL BISECTION METHOD FOR SOLVING GENERALIZED ABSOLUTE VALUE EQUATIONS WITH MULTIPLE SOLUTIONS[J].Journal of Jinggangshan University(Natural Sciences Edition),2017(5):12-16. |
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| Authors: | WANG Ai-xiang |
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| Institution: | School of Mechanical and Vehicular Engineering, Changzhou Institute of Technology, Changzhou, Jiangsu 213032, China |
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| Abstract: | An algorithm based on interval mathematics is proposed for the generalized absolute value equation. Intervals are always divided or deleted to obtain each solution of generalized absolute value equation in a large range. Finally, the numerical results verify the validity of the algorithm. |
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| Keywords: | generalized absolute value equation multiple solutions interval algorithm Krawczyk operator |
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