A projection method for a system of nonlinear monotone equations with convex constraints |
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Authors: | Chuanwei Wang Yiju Wang Chuanliang Xu |
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Affiliation: | (1) College of Information Sciences and Engineering, Shandong Agricultural University, Tai’an Shandong, 271018, China;(2) School of Operations Research and Management Science, Qufu Normal University, Rizhao Shandong, 276800, China;(3) Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong Kong;(4) Rizhao Vocational and Technical College, Rizhao Shandong, 276800, China |
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Abstract: | In this paper, we propose a projection method for solving a system of nonlinear monotone equations with convex constraints. Under standard assumptions, we show the global convergence and the linear convergence rate of the proposed algorithm. Preliminary numerical experiments show that this method is efficient and promising. This work was supported by the Postdoctoral Fellowship of The Hong Kong Polytechnic University, the NSF of Shandong China (Y2003A02). |
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Keywords: | Nonlinear equations Global convergence Linear convergence rate Projection method Monotone mapping |
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