Preprint Article Version 1 This version not peer reviewed

A Positive Spectral Gradient-Like Method For Large-Scale Nonlinear Monotone Equations

Version 1 : Received: 13 February 2017 / Approved: 13 February 2017 / Online: 13 February 2017 (15:03:16 CET)

A peer-reviewed article of this Preprint also exists.

H. Mohammad, A.B. Abubakar, A positive spectral gradient-like method for large-scale nonlinear monotone equations. Bull. Comput. Appl. Math. (Bull ComPAMA), Vol. 5, No. 1, Jan-Jun, pp. 99-115, 2017. H. Mohammad, A.B. Abubakar, A positive spectral gradient-like method for large-scale nonlinear monotone equations. Bull. Comput. Appl. Math. (Bull ComPAMA), Vol. 5, No. 1, Jan-Jun, pp. 99-115, 2017.

Journal reference: Bulletin of Computational Applied Mathematics 2017, 5, 5
DOI: http://www.compama.co.usb.ve/sites/default/files/fORTHCOMING/CompAMa_Vol5-N1-art05-(2016-022-Mohammad_Abubakar-Accepted20170526).pdf

Abstract

In this work, we proposed a combination of a positive spectral gradient-like method and projection method for solving nonlinear monotone equations. The spectral gradient-like coefficient is obtained using a convex combination of two different positive spectral coefficients. Under the monotonicity and Lipschitz continuity assumptions the method is shown to be globally convergent. We show the efficiency of the method numerically by comparing it with the existing methods.

Subject Areas

Non-linear equations, Monotone equations , Spectral Gradient method , Projection method.

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