条件收敛的

Linear convergence of the proposed method is proved under mild conditions.

方法的线性收敛性也是在比较宽松的条件下得到证明的。

And the convergence, compatibility and stability of the LLA based on the LTP are discussed with some theoretical analysis and numerical experiments, and the stability condition of the LLA is given.

对基于LTP的LLA方法的收敛性、相容性和稳定性进行了理论分析和数值实验，给出LLA的稳定性条件。

We construct algorithms in which directions are computed by these two systems and the step-sizes are generated by Armijo line search to solve the original constrained optimization problem and prove that the discrete scheme based on the differential equation system with the second order information has the locally quadratic convergence rate under the local Lipschitz condition.

我们构造了搜索方向由两个微分系统计算，步长采用Armijo线搜索的算法分别求解这个约束最优化问题，在局部Lipschitz条件下基于二阶信息的微分方程系统的迭代方法具有二阶的收敛速度。

The problem that under what conditions the - resolvent operator of a maximal TJ - monotone set-valued mapping is a Lipschitz continuous single-valued mapping on whole space, which also answers the open problem mentioned above, is studied on finite dimensional Euclidean spaces.

借助于图收敛理论证明了有限维欧氏空间中的两个极大单调集值映射的和映射在较弱条件下仍是极大单调集值映射，并在此基础上讨论了一般集值变分包含问题解集的凸性、闭性和有界性。

The Mean Square Error of Neutral Network dropped to 0.001 after 242 training epochs.The maximum relative error of simulated value...

在均方差为0.001的条件下，网络于242次训练后收敛，模型训练的最大相对误差为2.58%，预测值的最大相对误差为10.08%，表明该模型具有良好的预测和仿真能力。

The sufficient and necessary conditions for its convergence are established.

这个方法的特点是对于动力学参数未知的系统，可以通过实验方便地确定满足收敛条件的学习控制器参数。

The coupling between the pressure and the velocity of numerical model was solved successfully when the SIMPLE scheme and non-interlaced grid system were applied.

本文对各气动方程的离散、计算边界条件、气动控制参数、计算方法、数值解的稳定性和收敛性等诸问题进行了探讨，提出了相应的处理办法。

In order to ensure the rapid convergence of the method, incomplete precondition LDLT technology is used.

在预处理技术做保证的条件下，引入Krylov子空间迭代法，计算表明，该迭代方法结合预处理技术后收敛速度非常快，是高效快速求解电磁有限元模拟中形成的大型复系数方程组的最佳选择。

Applying the triangular element to the stationary Stokes equation, we obtain error analysis and optimal convergent order of approximation solution.

对于各向异性三角形元和各向异性四面体元，我们分别讨论了它们的各向异性插值，将它们应用于定常Stokes方程，我们研究了有限元空间不满足散度条件的各向异性非协调有限元解法，同样得到了逼近解的误差分析和最优收敛阶。

In chapter 4, in the frame of partially ordered F-type topological space, we research the existence of the solution of a nonlinear operator equation Lx = Nx, and the convergence of the iterative sequence {u_n} which satisfies Lu_(n+1)= Nu_n for a solution of the equation. Then, we give the conditions for multiplicity of the solutions of this operator equation.

第四章，在半序F-型拓扑空间框架下研究一类非线性算子方程Lx=Nx解的存在性，以及满足Lu_(n+1)=Nu_n的迭代序列{u_n}对于方程解的收敛性，并给出这类算子方程具有多解性的条件。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。