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Spectral residual methods with two new non-monotone line searches for large-scale nonlinear systems of equations

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  • Li, Xiangli
  • Guo, Xiao

Abstract

In this study, we develop two new non-monotone line searches and combine them into a spectral residual method. Furthermore, we apply these methods to complementary problems and discuss global convergence under several suitable conditions. Numerical experiments support the efficiency of the presented methods.

Suggested Citation

  • Li, Xiangli & Guo, Xiao, 2015. "Spectral residual methods with two new non-monotone line searches for large-scale nonlinear systems of equations," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 59-69.
    • Handle: RePEc:eee:apmaco:v:269:y:2015:i:c:p:59-69
    DOI: 10.1016/j.amc.2015.07.079
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    References listed on IDEAS

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    1. L. Qi & X. J. Tong & D. H. Li, 2004. "Active-Set Projected Trust-Region Algorithm for Box-Constrained Nonsmooth Equations," Journal of Optimization Theory and Applications, Springer, vol. 120(3), pages 601-625, March.
    2. Xiangli Li & Hongwei Liu & Xiuyun Zheng, 2012. "Non-monotone projection gradient method for non-negative matrix factorization," Computational Optimization and Applications, Springer, vol. 51(3), pages 1163-1171, April.
    3. Meijuan Shang & Chao Zhang & Naihua Xiu, 2014. "Minimal Zero Norm Solutions of Linear Complementarity Problems," Journal of Optimization Theory and Applications, Springer, vol. 163(3), pages 795-814, December.
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