| Some Test Problems on Applications of Wu＇s Method in Nonlinear Programming Problems |
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| 引用本文： | 吴天骄.Some Test Problems on Applications of Wu＇s Method in Nonlinear Programming Problems[J].数学季刊,1994(2). |
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| 作者姓名： | 吴天骄 |
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| 作者单位： | Institute of Applied Matematics Academia Sinica，Beijing，100080 |
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| 摘 要： | ＳｏｍｅＴｅｓｔＰｒｏｂｌｅｍｓｏｎＡｐｐｌｉｃａｔｉｏｎｓｏｆＷｕ＇ｓＭｅｔｈｏｄｉｎＮｏｎｌｉｎｅａｒＰｒｏｇｒａｍｍｉｎｇＰｒｏｂｌｅｍｓ吴天骄ＳｏｍｅＴｅｓｔＰｒｏｂｌｅｍｓｏｎＡｐｐｌｉｃａｔｉｏｎｓｏｆＷｕ＇ｓＭｅｔｈｏｄｉｎＮｏｎｌｉｎ...
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Some Test Problems on Applications of Wu's Method in Nonlinear Programming Problems |
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| Wu Tianjiao.Some Test Problems on Applications of Wu's Method in Nonlinear Programming Problems[J].Chinese Quarterly Journal of Mathematics,1994(2). |
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| Authors: | Wu Tianjiao |
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| Abstract: | The nonlinear programming problems are important in mathematics applications.They are usually solved by various kinds of numerical methods.This will give solutions in the form of led extremal values but not necessarily global-optimal ones.The present paper shows how to solve the nonlinear prosramming problems by the MM-method (Mathematics- Mechanization method)or Wu's method.Wu's method is different from the numerical method in that the computations are symbolic instead of numerical ones.Theoretically it is hased on computer algebra and algebraic geometry.The author uses the computer to set complete global solutions of some practical test problems in the nonlinear programming. The computations shows that Wu's mehtod is concise for solving the nonlinear programming problems,and is also quite efficient. |
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| Keywords: | nonlinear programming Mathematics Mechnhation Wu's Method characteristic set |
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