在用对偶单纯形法解线性规划问题时，必须找到初始正则解。
To solve a linear programming with the dual simplex algorithm, it is necessary to find a primal regular solution.
本文还给出了第一个正则解的一个求法，并讨论了退化情况。
Moreover, a method to find out the first regular solution has been given and the generating situation has been discussed in this paper.
通过适当选取正则参数，证明了正则解具有最优的渐近收敛阶。
By apriori choosing regularization parameter, optimal convergence order of the regularized solution is obtained.
并对一桁架的荷载分布进行了重构，结果表明，这一方法是寻求最优正则解的一条有效途经。
It is shown that the method can achieve an optimal value of the parameter in the whole range, and therefore provides an efficient way for obtaining an optimal regularization solution.
本文给出了关于有理插值正则解的充要条件的一个定理，其证明是简单的，作为判别法则使用亦是方便的。
This paper puts forward the theorem dealing with the necessary and sufficient condition of the regular solution to the rational interpolation. The theorem is simple to prove and convenient to use.
在扰动方程的正则化求解问题中，解的收敛性估计是十分重要的。
In the regular solution problem of the perturbation equation, the solution of convergence order is important.
我们将利用正则化方法和上下解技巧给出局部古典解和整体古典解的存在唯一性。
We will use regularization method and upper and lower solution technique to give the local existence, global existence and uniqueness results.
基于L -广义解正则化理论，提出了一个新的磨光方法的框架。
A new framework of mollification methods based on L-generalized solution regularization methods was proposed.
采用正则摄动法，求出了由有限项初等函数所构成的渐近解。
The asymptotic solutions composed of finite terms of elementary functions are obtained by regular perturbation method.
该文考虑了带有耗散项的广义对称正则长波方程解的长时间性态。
The long time behavior of solutions of the generalized symmetric regularized long wave equations with dissipation term is considered.
本文旨在研究获得两个逆热传导问题稳定解的正则化方法及其数值实现问题。
The aim of this thesis is to study the Regularization Method for stable solution of two inverse heat conduction problems and study their numerical implements.
证明了同伦映射为正则映射的条件下，选取合适的同伦方程，用此同伦方法得到的K-K-T点一定是问题局部最优解。
We prove that when the homotopy map is a regular map, the K-K-T point obtained from this homotopy method must be a local optimal solution by choosing proper homotopy equation.
该方法利用正则化技术，通过迭代运算解求重建影像的最优解。
The method is based on the regularization technique, solving the constrained optimization by proposed iteration steps.
利用光滑子对方程组进行正则化，从而得到原方程组的逼近解。
We will regularize the equations by the standard mollifier to get the approximate solutions.
我们也证明了K -正则预解算子族的遍历极限的收敛率和逼近的一些结果。
Finally, we obtain some results of the convergence rates of ergodic limits and approximation for K-regularized resolvent families.
为了获得稳定而满意的解，我们采用直方图约束下的正则化方法对连续近似迭代进行约束。
To obtain a stable solution, in our method, successive approximation process is constrained by prior histogram and laplacian regularization.
运用正则化方法和上下解技巧证明了上述问题的古典正解的局部存在性及其可延拓性。
The method of regularization and the technique of upper and lower solutions are employed to show the local existence and the continuation of the positive classical solution of the above problem.
应用算子理论方法，给出了一个C -正则预解族的左乘积扰动定理。
By using the approach of basic operator theory, a left multiplicative perturbation theorem of Cregularized resolvent families is proved.
我们重点考察这几类随机方程解的存在性、唯一性，在某些地方还给出了正则性结果；
We shall establish the existence and uniqueness of solutions to these equations, and give regularity results in some places.
本文运用正则化方法证明了一类退化抛物方程解的存在唯一性，讨论了解的全局存在性与爆破，并在一定的初值条件下得到了解的爆破速率。
In this paper, we establish the local existence and uniqueness of the solution by using regularization method. We also obtain the global existence and nonexistence. Finally, we get the blow-up rate.
文摘：本文讨论了高维正则长波方程的孤立波解的性态，同时运用直接积分法获得了它的一个孤立波解。
Abstract: The properties of solitary wave solution to multidimensional regularized long wave equations is discussed and one of its solitary wave solution is obtained by direct integral method.
文摘：本文讨论了高维正则长波方程的孤立波解的性态，同时运用直接积分法获得了它的一个孤立波解。
Abstract: The properties of solitary wave solution to multidimensional regularized long wave equations is discussed and one of its solitary wave solution is obtained by direct integral method.
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