拉格朗乘數 的英文怎麼說
中文拼音 [lāgélǎngchéngshǔ]
拉格朗乘數
英文
lagrangian multiplier-
In order to calculate easily and do n ' t influence the single - chip microcomputer ' s calculate velocity, we put forward two scheme to deal with the numerical value, one is to use a simple function to close or approach a normal function f ( x ) ( mainly is lagrange ' s intepolation, newton ' s intepolation, hermite ' s intepolation, cubic spline interpolation, etc. ) the other one is function approach ( mainly is chebyshev ' s polynomic. legendre ' s polynomic, laguerre ' s polynomic, method of least squares, etc. ), we analyze and compare the lagrange ' s intepolation and chebyshev ploynomic, at last, we select the chebyshev polynomic to do the value calculating on single - chip microcomputer
提出了數值處理的二種方案。即用簡單函數近似或逼近一個一般函數f ( x ) (主要有拉格朗日插值、牛頓插值、埃爾米特插值、三次樣條插值等)和函數逼近(主要有切比雪夫多項式、勒讓德多項式、拉蓋爾多項式、最小二乘法等) ,對上述兩個方案中的典型函數?拉格朗日插值和切比雪夫多項式進行了分析比較,最後選取切比雪夫多項式完成單片機上的數值計算。There is also a comprehensive treatment of optimality conditions, lagrange multiplier theory, and duality theory
這門課程也包括了對最適化條件,拉格朗日乘數理論,和對偶理論的綜合論述。This optimizing method had been used successfully in full - scale aircraft testing. 6 ) in the global equilibrating, a modified lagrange multiplier method had bring forward. this method can solve inequality constrained optimizer problems
在整體平衡中,提出了改進的拉格朗日乘數法,成功地解決了含不等式約束條件的優化問題,該方法具有計算簡單,收斂速度快等特點。Also, the author ’ s design strategy and creativity has been given in this paper. specifically, it includes : based on the feasibility analysis of the fit selection of control parameters in the aeration process, the aeration process of wastewater treatment of the joint - constructional complete - mixed activated sludge process has been aimed at in this paper. then, the state equations of the aeration process have been proposed in this paper, which is on the base of dissolved oxygen concentration ( do ) and discharge quantity of sludge ( qw ) as control variables, the concentration of bod and sludge as state variables. based on the present study on optimization control of wastewater treatment, the multivariable optimal control model with restriction factor has been presented in the paper with introducing modern control theory and system analysis into the field of activated sludge wastewater treatment,
具體包括:以完全混合、表面曝氣合建式活性污泥工藝的污水處理曝氣過程為研究對象,在闡述了曝氣過程式控制制參數選取可行性的基礎上,建立了以溶解氧濃度do和活性污泥排放量qw為控制變量,以曝氣池中有機物濃度s和微生物濃度x為狀態變量的活性污泥曝氣過程的基本狀態方程;運用現代控制理論的觀點和污水處理理論,在現有關于污水處理最優控制問題研究的基礎上,建立了有約束條件多變量能耗最小數學模型,該數學模型是以有機物排放總量和狀態變量的末值條件作為約束條件,曝氣過程的能耗最小作為目標泛函;採用增廣拉格朗日乘子法對最優控制問題進行轉化,並對應用極大值原理求解能耗最小這一最優控制問題進行了詳細的解析;引入約束運算元,應用具有控制約束的共軛梯度演算法對能耗最小這一最優控制問題進行求解,並進行模擬實驗驗證。A lagrange multiply method to solve multibody dynamic daes
代數方程的拉格朗日乘子方法A method is proposed for the parameter identification of the viscoelastic internal dampers of the multirotor systems in this paper. the multi - rotor system is regarded as a composite structure. the impedance matching method in the substructure method for structural dynamic analysis is used for the dynamic calculation of the structure. the augmented lagrange method is applied to the iteration calculations of the characteristic determinant of eigenvalve equation of the system. and then the results of parameter identification can be obtained. upon the dynamic characteristics of the system, the method can reveal the influence of the gyroscopic moments of force precisely. in process of the analysis, the various properties of multi - rotor systems are made the best use of, so the measure of the modes parameters is avoided, the calculation is simplified. in addition, an efficient method is proposed to establish a dynamic model of multirotor systems with viscoelastic internal dampers. the calculating results are consistent with the experimental results satisfactorily
提出了多轉子系統的粘彈性中間彈支參數辨識的一種方法.該方法把多轉子系統看作復合結構,用動態子結構分析的阻抗匹配法計算動力學特性,用增廣拉格朗日乘子法迭代計算系統特徵方程的系數行列式,獲得系統物理參數的辨識結果.該方法可以準確計入陀螺力矩的影響,避免測量振型參數.在分析中,利用多轉子系統的特性可簡化分析過程.文中還介紹了一種建立粘彈性彈支多轉子系統動力學模型的方法.計算結果與試驗結果基本一致Review of linear algebra, applications to networks, structures, and estimation, lagrange multipliers, differential equations of equilibrium, laplace ' s equation and potential flow, boundary - value problems, minimum principles and calculus of variations, fourier series, discrete fourier transform, convolution, applications
線性代數回顧,網路,結構以及估計的應用,拉格朗日乘數,平衡態的微分方程,拉普拉斯方程和勢流,邊值問題,最小值原理和變分法,傅立葉級數,離散傅立葉變換,卷積,應用。The second chapter reveals the mathematical essence of entropy regularization method for the finite min - max problem, through exploring the relationship between entropy regularization method and exponential penalty function method. the third chapter extends maximum entropy method to a general inequality constrained optimization problem and establishes the lagrangian regularization approach. the fourth chapter presents a unified framework for constructing penalty functions by virtue of the lagrangian regularization approach, and illustrates it by some specific penalty and barrier function examples
第一章為緒論,簡單描述了熵正則化方法與罰函數法的研究現狀;第二章,針對有限極大極小問題,通過研究熵正則化方法與指數(乘子)罰函數方法之間的關系,揭示熵正則方法的數學本質;第三章將極大熵方法推廣到一般不等式約束優化問題上,建立了拉格朗日正則化方法;第四章利用第三章建立的拉格朗日正則化方法,給出一種構造罰函數的統一框架,並通過具體的罰和障礙函數例子加以說明。The settling behaviors of a rectangular particle with different initial orientation angles and length - width ratios were simulated by using distributed lagrange multiplier / fictitious domain method
摘要為了對方形粒子在二維垂直通道中的沉降運動特性進行研究,應用了拉格朗日乘子虛擬區域方法對不同初始取向角、不同長寬比情況下方形粒子的沉降運動進行了直接數值模擬。Abstract : this paper discusses the conditional problem of the higher order derivatives depending on more than one function, sovles conditional problem of variation of definite integral constraint by using lagrange ' s method of multipliers, and studies the conditional problem of variation of more than one definite integral constrains
文摘:討論依賴于多個函數的高階導函數的泛函的變分問題,並且利用拉格朗日乘子法討論此類泛函的一種書有定積分約束的條件變分問題的解法.最後討論有多個定積分約束的條件變分問題This paper discusses the conditional problem of the higher order derivatives depending on more than one function, sovles conditional problem of variation of definite integral constraint by using lagranges method of multipliers, and studies the conditional problem of variation of more than one definite integral constrains
討論依賴于多個函數的高階導函數的泛函的變分問題,並且利用拉格朗日乘子法討論此類泛函的一種書有定積分約束的條件變分問題的解法.最後討論有多個定積分約束的條件變分問題The conclusion that a set of extremum questions can not be solved by lagrange - multiplication is explained through analysising the extremum questions under linear target functions and linear constrained conditions
摘要通過對線性的目標函數在線性的約束條件下的極值問題的分析,得到這類極值問題一般是不能用拉格朗日乘數法求解。By using the lagrange multiplier approach, the design procedure is formulated as solving the linear equation iteratively to obtain the desirable prototype filter coefficient vector
使用拉格朗日乘數方法,演算法通過迭代求解線性方程來獲得期望的原型濾波器系數矢量。分享友人