Geodesic
New inertial-based spectral projection method for solving system of nonlinear equations with convex constraints
Filomat, Tome 36 (2022) no. 13, p. 4553

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DOI

In this paper, a new spectral projection method for solving nonlinear system of equations with convex constraints is proposed based on inertial effect. The inertial technique is integrated into the new proposed search direction with the aim of enhancing the numerical performance. Interestingly, the convergence result of the new method is established based on the assumption that the underlying function is pseudomonotone. This assumption is weaker than monotonicity which is used in many existing methods to prove the convergence. The new method is suitable for large scale problems as well as nonsmooth problems. Numerical experiments presented validate the efficiency of the new method which also outperforms some existing methods in the literature.
DOI : 10.2298/FIL2213553A
Classification : 90C30, 90C06, 90C56
Keywords: iterative algorithm, line search technique, derivative-free method, nonlinear problem, pseudomonotone 
Aliyu Muhammed Awwal; Poom Kumam; Mohammed Yusuf Waziri; Lin Wang; Ahmadu Muhammadu Bappah; Adamu Ishaku. New inertial-based spectral projection method for solving system of nonlinear equations with convex constraints. Filomat, Tome 36 (2022) no. 13, p. 4553 . doi: 10.2298/FIL2213553A
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     author = {Aliyu Muhammed Awwal and Poom Kumam and Mohammed Yusuf Waziri and Lin Wang and Ahmadu Muhammadu Bappah and Adamu Ishaku},
     title = {New inertial-based spectral projection method for solving system of nonlinear equations with convex constraints},
     journal = {Filomat},
     pages = {4553 },
     year = {2022},
     volume = {36},
     number = {13},
     doi = {10.2298/FIL2213553A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2213553A/}
}
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