| 1. | Superquadric parameters extraction based on real - coded genetic algorithm
基于实数编码遗传算法的超二次模型参数提取计算 |
| 2. | A solution that minimizes the model function within the trust region is solved as a trial step
信赖域方法并不要求目标函数的二次模型凸性，在信赖域内求得迭代步使得二次模型最小。 |
| 3. | The numerical results show that the above method has some improvement over those of [ 2 ] and the one based on quadratic model
结果表明，该算法比二次模型有效，比[ 2 ]中水平向量的取法也有效。 |
| 4. | Secondly , the simulation program for tire - model , vehicle body model , braking system model and road surface model are developed with c + + language
随后用c + +语言对车体模型、轮胎模型、制动系模型和路面模型进行了二次模型化。 |
| 5. | Regression analysis was conducted for the results by using binary quadratic model . the yield for each variety can be well described by the model ( table 6 )
用二元二次模型对产量结果进行了回归分析，两个品种对磷、钾用量的反应均可用该模型进行较好的拟合（表6 ） 。 |
| 6. | After the instrument error of sins is analyzed , it can be concluded that the quadratic model is more sensible to navigation error , and with instrument error taken into account , the linear model is better than the quadratic model
通过捷联惯导仪器误差的分析，发现二次模型对捷联惯导导航参数误差更为敏感，考虑惯导仪器误差后，线性模型的修正效果要优于二次模型。 |
| 7. | Trust region methods has drawn our attention increasingly as one approximating method guarantees general convergence . its basic step is as follows : first , we set trust - region radius , and then we get a trial step produced by constraint quadratical model
信赖域方法是近年来日益受到关注的一种新的保证算法整体收敛性的逼近方法，信赖域方法的基本步骤是首先指定一个信赖域半径，然后用带约束的二次模型来确定搜索方向与步长大小。 |
| 8. | In chapter 3 , by minimizing a quadratic model restricting next search direction to a subset of span { - g _ ( k ) , d _ ( k - 1 ) } , we propose other formula of parameter ~ ( * ) k convergences of the new method and its hybrid formula are proved under monotone line search . their numerical results show that they are efficient
在第三章中，通过最小化一个限制下次搜索方向在span { - g _ k ， d _ ( k - 1 ) }子集上的二次模型，我们提出了_ k ~ *取新形式或其杂交形式的共轭梯度法是有效的。 |
| 9. | Otherwise , the trust region radius is reduced and a new trial point is selected . it is possible that the region subproblem need to be resolved many times before obtaining an acceptable step , and hence the total computation for completing one iteration might be expensive . this article combines approximate trust region path and nonmonotonic backtracking strategy to solve nonlinear optimization subject to linear inequality constraints , that is , we use approximate trust region path to get the research direction by minimuming quadratical model in the trust region by employing
本文在求解线性不等式约束优化问题时，将近似信赖域路径与非单调信赖域方法相结合，即在信赖域半径内沿近似信赖域路径得到一极小化二次模型的搜索方向后采用回代法避免重复求解信赖域子问题，在此算法中当搜索方向不被接受时，就用非单调线搜索技术得到接受步长，定义新的迭代点。 |
| 10. | This paper mainly concerns the conic interpolation model method for unconstrained optimization and its implementation , the structure of which is organized as follows : firstly , we survey the history of the direct search methods concisely , and summarize the methods that are currently considered to be effective for unconstrained optimization
首先介绍了直接搜索方法的发展概况，归纳总结了目前比较有效的各种算法。其次论文对于数值试验结果较好的二次模型插值算法和发展概况做了概要性的介绍。 |
