A convergence analysis of the nonlinear Uzawa algorithm for saddle point problems |
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| Institution: | 1. Department of Mathematics and Computational Science, Hunan University of Science and Engineering, Yongzhou 425100, PR China;2. Institute of Mathematics, School of Mathematical Sciences, Fudan University, Shanghai 200433, PR China;3. Key Laboratory of Mathematics for Nonlinear Sciences (Fudan University), Ministry of Education, PR China |
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| Abstract: | In this paper we discuss the convergence behavior of the nonlinear inexact Uzawa algorithm for solving saddle point problems presented in a recent paper by Cao Z.H. Cao, Fast Uzawa algorithm for generalized saddle point problems, Appl. Numer. Math. 46 (2003) 157–171]. We show that this algorithm converges under a condition weaker than that stated in this paper. |
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