# American Institute of Mathematical Sciences

January  2013, 9(1): 117-129. doi: 10.3934/jimo.2013.9.117

## Multivariate spectral gradient projection method for nonlinear monotone equations with convex constraints

 1 Jiangxi Key Laboratory of Numerical Simulation Technology, School of Mathematics and Computer Sciences, Gannan Normal University, Ganzhou, 341000 2 School of Mathematics and Computer Sciences, Gannan Normal University, Ganzhou, 341000, China 3 School of Biomedical Engineering, Southern Medical University, Guangzhou, 510515, China

Received  February 2012 Revised  May 2012 Published  December 2012

In this paper, we present a multivariate spectral gradient projection method for nonlinear monotone equations with convex constraints, which can be viewed as an extension of multivariate spectral gradient method for solving unconstrained optimization problems. The proposed method does not need the computation of the derivative as well as the solution of some linear equations. Under some suitable conditions, we can establish its global convergence results. Preliminary numerical results show that the proposed method is efficient and promising.
Citation: Gaohang Yu, Shanzhou Niu, Jianhua Ma. Multivariate spectral gradient projection method for nonlinear monotone equations with convex constraints. Journal of Industrial & Management Optimization, 2013, 9 (1) : 117-129. doi: 10.3934/jimo.2013.9.117
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