piecewise polynomial meaning in Chinese
分段多项式
Examples
- They have the properties like the quadratic uniform b - spline basis functions . the piecewise polynomial curves generated by the above - mentioned functions possess the same structure and geometry properties as piecewise quadratic uniform b - spline curve
它们具有二次均匀b样条基函数的性质，且用它们生成的分段多项式曲线具有与分段二次均匀b样条曲线相同的结构和几何性质。 - The method employs a recently developed direct optimization technique that uses a piecewise polynomial representation for the state and controls , thus converting the optimal control problem into a nonlinear programming problem . the method is remarkably robust to initial guesses , which is better than traditional method
这种方法利用了近些年来发展起来的直接优化技术，用分段多项式来表示整个轨道的状态和控制向量，将最优控制问题转化为非线性规划问题来研究。 - In the computational methods of tpbvp , in order to reduce some difficulties involved in solving a tpbvp via adjoint variables , we discuss a direct method in which state and control variables are indirectly parameterized , the method employs a recently developed direct optimization technique that uses a piecewise polynomial representation for the state and control variables , thus converting the optimal control problem into a nonlinear programming problem , which can be solved numerically . it makes the initial iterative variable more easy to be determined
在数值解法中，为了减少解决两点边值问题共轭变量带来的困难，主要讨论了将状态变量和控制变量进行参数化的一种直接方法，这种方法采用了近段发展起来的使用分段的多项式来代替状态和控制变量的直接优化方法，然后最优控制问题就转化成可以用数值方法解决的非线性规划问题，使得迭代初值更加容易选取。