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• W2891955710 abstract "In this paper, we develop a three-term conjugate gradient method involving spectral quotient, which always satisfies the famous Dai-Liao conjugacy condition and quasi-Newton secant equation, independently of any line search. This new three-term conjugate gradient method can be regarded as a variant of the memoryless Broyden-Fletcher-Goldfarb-Shanno quasi-Newton method with regard to spectral quotient. By combining this method with the projection technique proposed by Solodov and Svaiter in 1998, we establish a derivative-free three-term projection algorithm for dealing with large-scale nonlinear monotone system of equations. We prove the global convergence of the algorithm and obtain the R-linear convergence rate under some mild conditions. Numerical results show that our projection algorithm is effective and robust, and is more competitive with the TTDFP algorithm proposed Liu and Li [A three-term derivative-free projection method for nonlinear monotone system of equations. Calcolo. 2016;53:427–450]." @default.
• W2891955710 created "2018-09-27" @default.
• W2891955710 creator A5073754891 @default.
• W2891955710 creator A5089844567 @default.
• W2891955710 date "2018-09-13" @default.
• W2891955710 modified "2023-10-10" @default.
• W2891955710 title "A derivative-free three-term projection algorithm involving spectral quotient for solving nonlinear monotone equations" @default.
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• W2891955710 doi "https://doi.org/10.1080/02331934.2018.1482490" @default.
• W2891955710 hasPublicationYear "2018" @default.
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