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A new derivative-free SCG-type projection method for nonlinear monotone equations with convex constraints

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Based on a modified line search scheme, this paper presents a new derivative-free projection method for solving nonlinear monotone equations with convex constraints, which can be regarded as an extension… Click to show full abstract

Based on a modified line search scheme, this paper presents a new derivative-free projection method for solving nonlinear monotone equations with convex constraints, which can be regarded as an extension of the scaled conjugate gradient method and the projection method. Under appropriate conditions, the global convergence and linear convergence rate of the proposed method is proven. Preliminary numerical results are also reported to show that this method is promising.

Keywords: derivative free; method; nonlinear monotone; new derivative; projection method

Journal Title: Journal of Applied Mathematics and Computing
Year Published: 2018

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