| 马蹄形非凸区域上计算Brouwer不动点 |
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| 引用本文： | 商玉凤,刘庆怀,等.马蹄形非凸区域上计算Brouwer不动点[J].吉林工学院学报,2001,22(2):57-60. |
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| 作者姓名： | 商玉凤 刘庆怀 |
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| 作者单位： | 空军第二航空学院基础部!吉林长春130022(商玉凤，高峻勇)，吉林大学南岭校区!吉林长春130025(刘庆怀) |
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| 摘 要： | 给出了马蹄形非凸区域上计算Brouwer不动点计算方法，以及马蹄形非凸区域上拟法锥的构造方法，证明了拟法锥条件成立，建立了组合同伦 方程，证明了同伦方程是收敛的、且收敛到Brouwer不动点。
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| 关 键 词： | 不动点 同伦算法 内点法 拟法锥条件 马蹄形非凸区域 非凸线性规划 |
| 文章编号： | 1006-2939(2001)02-0057-04 |
| 修稿时间： | 2001年2月26日 |
The Combined Homotopy Method of Calculating the Brouwer Fixed Point in the Horseshoe Zone |
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| SHANG Yu feng ,LIU Qing huai ,GAO Jun yong.The Combined Homotopy Method of Calculating the Brouwer Fixed Point in the Horseshoe Zone[J].Journal of Jilin Institute of Technology,2001,22(2):57-60. |
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| Authors: | SHANG Yu feng LIU Qing huai GAO Jun yong |
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| Institution: | SHANG Yu feng 1,LIU Qing huai 2,GAO Jun yong 1 |
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| Abstract: | For solving the fixed point Brouwer problem in the non convex horseshoe zone, a constructing method of positive irrelative mapping is given. It is shown that the quasi normal cone condition holds, and an equation of combined homotopy is established. Form which the convergency of the homotopy equation is proved, and it converges to the Brouwer fixed point. |
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| Keywords: | fixed point homotopy methods interior point methods pseudo cone condition |
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