| 1. | The optimization design based on conjugate gradient algorithm in restricted condition
基于共轭梯度法的线性规划优化设计 |
| 2. | The convergence theorem of a class of conjugate gradient algorithms is proven , which extend the main convergence theorem in gilbert and noceda ( 1992 )
讨论了一类共轭梯度算法的收敛性，推广了1992年gilbert和nocedal的收敛性结果。 |
| 3. | Based on the papers [ 10 ] and [ 19 ] , we propose a new nonmonotone conjugate gradient algorithm , prove its convergence and test the new nonmonotone algorihm
基于文献[ 10 ]和[ 19 ] ，我们提出了一种新的非单调共轭梯度算法，证明了新算法的收敛性，并对它进行了测试。 |
| 4. | 6 . a mixed hs - fr conjugate gradient algorithm is proposed . two convergence theorems without the sufficient descent condition for the mixed hs - fr algorithm are given
给出了一个混合的hsfr共轭梯度算法，在无充分下降条件下，得到了关于hsfr算法的两个收敛性定理。 |
| 5. | The main work of the paper can be summarized as follows : 1 . a mixed hs - fr conjugate gradient algorithm is proposed . two convergence theorems without the sufficient descent condition for the mixed hs - fr algorithm are given
给出了一个混合的hs - fr共轭梯度算法，在无充分下降条件下，得到了关于hs - fr算法的两个收敛性定理。 |
| 6. | This paper is devoted to some numerical optimization methods and optimization models for solving practical problems in real world . the methods we concern with are the conjugate gradient algorithms , evolutionary algorithms and goal programming
本文对近年来备受关注的几类最优化方法(共轭梯度算法、进化算法和目标规划法)的理论性质及应用进行了研究，主要研究成果如下： 1 |
| 7. | As for single objective optimization algorithm , a fast iterative algorithm based on conjugate gradient algorithm is presented , which makes use of extent limit of iterative optimization step in conjugate gradient with the idea of least square
在标量优化图像重建法中，作者以最小二乘为目标，利用共轭梯度法中迭代最优步长的区间性，提出了一种基于共轭梯度法的快速迭代算法。 |
| 8. | In this thesis , some kinds of learning algorithms of feed - forward neural network have been analyzed ; later a scaled conjugate gradient algorithm is presented to train network , furthermore , modified training methods have been provided to improve the neural network performance
在分析比较了几种前馈神经网络的学习算法后，提出尺度共轭梯度算法对网络进行训练，并针对现有网络训练方法提出了改进。 |
| 9. | In each section , we discuss every method ' s global convergence properties and numerical behaviors etc . in the second chapter , we develop several new conjugate gradient algorithms , explore their convergence properties and analyze the numerical results . by comparing the numerical results , we can find the advantages of these new algorithms
然后对共轭梯度法理论研究的基础上，得到了几种新的共轭梯度法，并对它们的收敛性进行了分析，证明了新算法的全局收敛性。大量数值试验结果也表明了这些算法的有效性。 |
| 10. | Based on artificial neural network technique , a regional economic forecasting system , which has been applied to practical regional medium - and long - term economic forecasting in certain city , is designed . a mixed hs - fr conjugate gradient algorithm is applied to the regional economic forecasting system to train the neural networks effectively
将人工神经网络技术应用于地区经济预测领域，设计了一个“基于人工神经网络的地区经济预测系统” ，并利用hs - fr共轭梯度算法对网络的学习算法进行了改进。 |
