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弱条件下列修正Broyden法的收敛性
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作者 刘甲好 潘状元 《辽宁科技大学学报》 CAS 2008年第5期492-494,499,共4页
在弱条件下,利用优序列技巧,给出了求解非线性方程组的列修正Broyden法的存在收敛性定理。
关键词 弱条件 列修正broyden迭代格式 收敛性
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平面二次包络环面蜗杆蜗轮副实体建模 被引量:9
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作者 马龙 吴新跃 《机械设计与制造》 北大核心 2006年第6期62-64,共3页
利用空间啮合原理分析一次、二次包络在平面二次包络环面蜗杆蜗轮副齿面上的分布及相互关系。对复杂并且非线性的齿面方程,用Broyden迭代法求解,得到了齿面的原始参数。利用UG/OpenGRIP交互式图形编程和Matlab软件编写了平面二次包络环... 利用空间啮合原理分析一次、二次包络在平面二次包络环面蜗杆蜗轮副齿面上的分布及相互关系。对复杂并且非线性的齿面方程,用Broyden迭代法求解,得到了齿面的原始参数。利用UG/OpenGRIP交互式图形编程和Matlab软件编写了平面二次包络环面蜗杆蜗轮副实体建模程序,并举例说明了本方法可用于其它传动副实体建模。 展开更多
关键词 平面二次包络 环面蜗轮副 实体建模 broyden迭代
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An Improved Control Vector Iteration Approach for Nonlinear Dynamic Optimization (Ⅰ) Problems Without Path Constraints
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作者 胡云卿 刘兴高 薛安克 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2012年第6期1053-1058,共6页
This study proposes an efficient indirect approach for general nonlinear dynamic optimization problems without path constraints. The approach incorporates the virtues both from indirect and direct methods: it solves t... This study proposes an efficient indirect approach for general nonlinear dynamic optimization problems without path constraints. The approach incorporates the virtues both from indirect and direct methods: it solves the optimality conditions like the traditional indirect methods do, but uses a discretization technique inspired from direct methods. Compared with other indirect approaches, the proposed approach has two main advantages: (1) the discretized optimization problem only employs unconstrained nonlinear programming (NLP) algorithms such as BFGS (Broyden-Fletcher-Goldfarb-Shanno), rather than constrained NLP algorithms, therefore the computational efficiency is increased; (2) the relationship between the number of the discretized time intervals and the integration error of the four-step Adams predictor-corrector algorithm is established, thus the minimal number of time intervals that under desired integration tolerance can be estimated. The classic batch reactor problem is tested and compared in detail with literature reports, and the results reveal the effectiveness of the proposed approach. Dealing with path constraints requires extra techniques, and will be studied in the second paper. 展开更多
关键词 nonlinear dynamic optimization control vector iteration DISCRETIZATION
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