Convergence analysis of an iterative algorithm for a class of constrained dynamic problems

Wang J.; Modnak C.; Hou G.

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Convergence analysis of an iterative algorithm for a class of constrained dynamic problems

机译：一类约束动态问题的迭代算法的收敛性分析

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In this paper, we consider numerical simulation to a class of constrained dynamic problems where the overall dynamics are determined by the interactions between two sub-systems. We present an iterative algorithm that naturally decouples the computation of the two sub-systems and that ensures an accurate and efficient solution procedure. We conduct rigorous error analysis for the convergence of the iterative algorithm, and verify the analytical results through careful numerical tests.

机译：在本文中，我们考虑对一类约束动力学问题进行数值模拟，其中整体动力学由两个子系统之间的相互作用决定。我们提出了一种迭代算法，该算法自然解耦了两个子系统的计算，并确保了准确而有效的解决方案。我们对迭代算法的收敛性进行了严格的误差分析，并通过仔细的数值测试验证了分析结果。

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《Applied mathematics and computation》 |2012年第3期|共22页
作者
Wang J.; Modnak C.; Hou G.;
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正文语种 eng
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Constrained dynamic problems; Error analysis; Iterative methods;

机译：约束动态问题;误差分析;迭代方法;

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1. Convergence analysis of an iterative algorithm for a class of constrained dynamic problems [J] . Wang J., Modnak C., Hou G. Applied mathematics and computation . 2012,第3期

机译：一类约束动态问题的迭代算法的收敛性分析
2. Convergence analysis of gradient-based iterative algorithms for a class of rectangular Sylvester matrix equations based on Banach contraction principle [J] . Kittisopaporn Adisorn, Chansangiam Pattrawut, Lewkeeratiyutkul Wicharn Advances in Difference Equations . 2021,第a期

机译：基于Banach收缩原理的基于矩形Sylvester矩阵方程的梯度基迭代算法的收敛性分析
3. A CLASS OF TRUST REGION METHODS FOR LINEAR INEQUALITY CONSTRAINED OPTIMIZATION AND ITS THEORY ANALYSIS: I. ALGORITHM AND GLOBAL CONVERGENCE [J] . Xiu Naihua Applied Mathematics. series B . 1995,第3期

机译：线性不等式约束优化的一类信赖域方法及其理论分析：I。算法与全局收敛
4. A new space-adaptive regularized constrained iterative image restoration algorithms and analysis of convergence condition [C] . Sang Hwa Lee, Choong Woong Lee Image Processing, 1996. Proceedings., International Conference on . 1996

机译：一种新的空间自适应正则约束迭代图像复原算法及收敛条件分析
5. On the convergence of model -free policy iteration algorithms for reinforcement learning: Stochastic approximation under discontinuous mean dynamics. [D] . Williams, John Kevin. 2000

机译：关于用于增强学习的无模型策略迭代算法的收敛：不连续平均动力学下的随机逼近。
6. Convergence and Stability of a Class of Iteratively Re-weighted Least Squares Algorithms for Sparse Signal Recovery in the Presence of Noise [O] . Behtash Babadi, Demba Ba, Patrick L. Purdon, -1

机译：噪声存在下一类用于稀疏信号恢复的迭代加权最小二乘算法的收敛性和稳定性
7. Convergence analysis of gradient-based iterative algorithms for a class of rectangular Sylvester matrix equations based on Banach contraction principle [O] . Adisorn Kittisopaporn, Pattrawut Chansangiam, Wicharn Lewkeeratiyutkul 2021

机译：基于Banach收缩原理的基于矩形Sylvester矩阵方程的梯度基迭代算法的收敛性分析
8. Global Convergence Theory for a Class of Trust Region Algorithms for Constrained Optimization. [R] . El-Alem, M. M. 1988

机译：约束优化问题的一类信赖域算法的全局收敛性理论。

Convergence analysis of an iterative algorithm for a class of constrained dynamic problems

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