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A derivative-free three-term projection algorithm involving spectral quotient for solving nonlinear monotone equations.
- Source :
- Optimization; Oct2018, Vol. 67 Issue 10, p1631-1648, 18p
- Publication Year :
- 2018
-
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]. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02331934
- Volume :
- 67
- Issue :
- 10
- Database :
- Complementary Index
- Journal :
- Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 133402769
- Full Text :
- https://doi.org/10.1080/02331934.2018.1482490