| Convergence analysis of the corrected Uzawa algorithmfor symmetric saddle point problems简 |
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| 作者姓名： | LU Jun-feng |
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| 基金项目： | Supported-by the National Natural Science Foundation of China （11201422） and the Natural Science Foun- dation of Zhejiang Province （Y6110639, LQ12A01017）. |
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| 摘 要： | For the large sparse saddle point problems, Pan and Li recently proposed in H. K. Pan, W. Li, Math. Numer. Sinica, 2009, 31（3）： 231-242] a corrected Uzawa algorithm based on a nonlinear Uzawa algorithm with two nonlinear approximate inverses, and gave the detailed convergence analysis. In this paper, we focus on the convergence analysis of this corrected Uzawa algorithm, some inaccuracies in H. K. Pan, W. Li, Math. Numer. Sinica, 2009, 31（3）： 231-242] are pointed out, and a corrected convergence theorem is presented. A special case of this modified Uzawa algorithm is also discussed.
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| 关 键 词： | Uzawa算法 收敛性分析 鞍点问题 非线性逼近 对称 收敛定理 数学 学报 |
Convergence analysis of the corrected Uzawa algorithm for symmetric saddle point problems |
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| LU Jun-feng.Convergence analysis of the corrected Uzawa algorithm for symmetric saddle point problems[J].Applied Mathematics A Journal of Chinese Universities,2014,29(1):29-35. |
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| Authors: | Jun-feng Lu |
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| Institution: | 1. Hangzhou Institute of Commerce, Zhejiang Gongshang University, Hangzhou, 310018, China
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| Abstract: | For the large sparse saddle point problems, Pan and Li recently proposed in H. K. Pan, W. Li, Math. Numer. Sinica, 2009, 31(3): 231–242] a corrected Uzawa algorithm based on a nonlinear Uzawa algorithm with two nonlinear approximate inverses, and gave the detailed convergence analysis. In this paper, we focus on the convergence analysis of this corrected Uzawa algorithm, some inaccuracies in H. K. Pan, W. Li, Math. Numer. Sinica, 2009, 31(3): 231–242] are pointed out, and a corrected convergence theorem is presented. A special case of this modified Uzawa algorithm is also discussed. |
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| Keywords: | Saddle point problem Uzawa algorithm convergence analysis |
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