本书涵盖了非线性规划的主要内容,包括无约束优化、凸优化、拉格朗日乘子理论和算法、对偶理论和方法等,并包含了大量的实际应用案例 .本书从无约束优化问题入手,通过直观分析和严谨证明给出了无约束优化问题的最优性条件,并讨论了梯度法、牛顿法、共轭方向法等实用算法 .进而本书将无约束优化问题的最优性条件和算法推广到具有凸集约束的优化问题中,进一步讨论了处理约束问题的可行方向法、条件梯度法、梯度投影法、双矩阵投影法、坐标块下降法等算法 .拉格朗日乘子理论和算法是非线性规划的核心内容之一,也是本书的重点 .本书中的第 3、4章详尽地论述了这方面的内容 .本书首先从等式约束优化问题最优解的必要条件入手,给出了拉格朗日乘子理论最基本的形式,然后给出了等式约束优化问题最优解的充分条件以及不等式约束优化问题的充分条件和必要条件 .拉格朗日乘子算法的引入则基于将约束优化问题转化为无约束优化问题和求解最优性条件对应的方程组两个角度展开,分别讨论了障碍函数法、惩罚函数法、序贯二次规划法、拉格朗日法和原始对偶内点法等方法 .本书的另一个重点是对偶理论和方法 .本书第 5章从几何的角度阐述了拉格朗日对偶理论和 Fenchel对偶理论,并讨论了离散优化及拉格朗日松弛方法;本书最后一章则详细讨论了求解对偶问题的相关概念和方法,包括次梯度、对偶上升方法、次梯度方法、割平面方法和分解方法等 .
2021-03-17 11:01:00 24.03MB Bertsekas Dimitri P
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Falcone的博士论文,主要介绍了自动驾驶车辆模型预测控制。学习过车辆自动驾驶控制方向的,都知道车辆模型预测控制是他在这个领域的开山之作。 很多资源是假的,这个是真的。
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Nonlinear Dynamics and Chaos 2014 by Strogatz 非线性动力系统与混沌,2014英文文字版。由epub版本转为pdf而成。
2021-03-08 19:39:58 33.06MB Chaos fractal nonlinear
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An Ensemble Kalman Smoother for Nonlinear Dynamics.pdf
2021-03-03 17:06:12 389KB EKF
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Nonlinear Dynamical Systems and Control A Lyapunov-Based Approach
2021-03-03 11:20:04 6.34MB control
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matlab代码,根据非线性薛定谔方程来模拟光纤内各种非线性效应(克尔效应、四波混频、受激拉曼散射、载流子吸收等)产生超连续谱
2021-03-01 20:15:59 3KB supercontinuum optical fiber nonlinear
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Nonlinear optical properties of stimulated Brillouin scattering (SBS) to signal detection in water are analyzed. With the threshold characteristics, SBS only occurs when the high power laser is focused in the SBS cell. When there is an object present in front of the focus, it leads to lower incident intensity and then SBS does not occur. The backward SBS signal depends on the focusing location. The nonlinear optical properties of SBS process in the focusing regime are analyzed theoretically. Wit
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By the 90 deg. elastic light scattering investigation and far field observation in the range of 20-800 centigrade, the relation between behavior of light scattering anomalies and evolution of nanodomain structures in lattice of barium sodium niobate (Ba2NaNb5O15, BSN) crystal was clarified. The correlation between anomalies on the temperature curves of the elastic light scattering intensity and temperature transformations of nanodomains was studied by X-ray and electron microscope methods. Phase
2021-02-26 15:06:27 497KB 非线性光 材料 散射 190.4400
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