overdetermined system
- overdetermined system的基本解释
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超定组
- 相似词
- 更多 网络例句 与overdetermined system相关的网络例句 [注:此内容来源于网络,仅供参考]
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According to the number of unknown variables in ideal element fitting, variable substitution is adopted to convert the overdetermined nonlinear equations into overdetermined linear equations. Cumulative sum operator is used to solve the overdetermined linear equations.
根据理想要素拟合过程中待求未知量的个数,运用变量代换,将非线性超定方程组转化为线性超定方程组;对变换后的超定线性方程组施加累积算子,进行未知数求解;最后用仿真实例进行了分析,并与CIRP方法进行比较。
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The algorithm has following properties: Although the merit function has the form of least squares of a system of overdetermined equations, in the Newton equation of our algorithm, only the coefficient matrix of the system of overdetermined equations is used instead of its product as in Guass-Newton method for solving the least squares problems. That is, our Newton method is more like that for the system of nonlinear equations rather than that for LSPs. The global convergence is obtained for VLCP with vertical block P_0 + R_0 matrix; The local quadratic convergence rate is proved under the condition that the solution is BD-regular; Although there is only a Newton equation in our algorithm, the finite convergence property can be shown if matrix is vertical block P— matrix (without the hypotheses of strict complementarity).
该算法具有下列特点:所构造的价值函数虽然具有超定方程组的最小二乘问题的形式,但在基此建立的Newton算法中,其Newton方程的形式更象非线性方程组的Newton法中的Newton方程,仅利用了超定方程组的系数矩阵本身的信息,避免了一般最小二乘问题的Guass-Newton法中必须计算系数矩阵的乘积的工作量;对竖块P_0+R_0矩阵的垂直线性互补问题,算法具有全局收敛性;在解是BD-正则条件下,证明了算法的局部二次收敛性;虽然算法只含一个Newton方程,但对竖块P-矩阵垂直线性互补问题,算法具有有限步收敛性。
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Then, it studies the supply chain management system as a complex system to confirm the state existing during operating of the system. After that, it conducts a probability analysis on the state which the system located by applying supplement variable method, and establishes the model of distributed parameter system in a form of partial differential equations. Combining C0 ? semigroup theory in the functional analysis, it conducts a dynamic analysis on the established mathematical model. Using this method, it obtains the mathematical expression of the dynamic solution and the steady state solution, and proves the uniqueness, non-negativity and the asymptotic stability of the system solution. This dissertation applies the Matlab tool and uses two-step, three-step Simpson integral equation to imitate the condition of system solution. Then, it adds possible mode of failure and the optimization adjustment state to the system, based on which it has established the distributed parameter system model which is described by partial differential system of equations. Combining the functional analysis C0 ? semigroup theory, it studies the established mathematical model, and obtains the mathematical expression of the dynamic solution system and the steady state solution. It has proven the existing of uniqueness of the system solution, the asymptotic stability of system solution and the system solution. In addition, it has lying the theory rationale for further analysis and the research on the optimization of system.
本文首先简要综述了供应链理论、可靠性研究、鲁棒性研究以及供应链鲁棒性研究的现状;然后,将供应链系统作为一个复杂系统来分析,确定了系统运行过程中所经历的状态,通过引入补充变量的方法,建立了用偏微分方程组描述的分布参数系统模型,用泛函分析中的C_0 -半群理论得到了系统动态解和稳态解的数学表达式,证明了系统解存在的唯一性、非负性和指数阶渐近稳定性;并借助Matlab工具,利用二阶、三阶辛普森积分方程模拟系统解的性态,并给出系统动态解的仿真图;本文又对上述系统增加了系统可能失效状态和优化调整状态,并在此基础上建立了用偏微分方程组描述的分布参数系统模型,同样用泛函分析中的C_0 -半群理论对所建立的数学模型进行了研究,得到系统动态解和稳态解的数学表达式,证明了系统动态解存在的唯一性、非负性及渐近稳定性,为进一步分析和研究供应链优化奠定了理论基础。
- 更多网络解释 与overdetermined system相关的网络解释 [注:此内容来源于网络,仅供参考]
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overdetermined system:超定组
overdetermined problem 超定问题 | overdetermined system 超定组 | overdetermined system of partial differential equations 偏微分方程的超定组
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overdetermined system of partial differential equations:偏微分方程的超定组
overdetermined system 超定组 | overdetermined system of partial differential equations 偏微分方程的超定组 | overfield 扩张域