Journal of Computational and Applied Mathematics2022,Vol.40310.DOI:10.1016/j.cam.2021.113822

An efficient projection-based algorithm without Lipschitz continuity for large-scale nonlinear pseudo-monotone equations

Liu, J. K. Lu, Z. L. Xu, J. L. Wu, S. Tu, Z. W.
Journal of Computational and Applied Mathematics2022,Vol.40310.DOI:10.1016/j.cam.2021.113822

An efficient projection-based algorithm without Lipschitz continuity for large-scale nonlinear pseudo-monotone equations

Liu, J. K. 1Lu, Z. L. 1Xu, J. L. 1Wu, S. 1Tu, Z. W.1
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作者信息

  • 1. Chongqing Three Gorges Univ
  • 折叠

Abstract

In this paper, an efficient algorithm is proposed for solving convex constrained equations. The method has the following characteristics: (i) its search direction satisfies the sufficient descent property which is independent of any line search conditions; (ii) the equations only satisfy pseudo-monotone property; (iii) its global convergence is proved without the Lipschitz continuity. We compare our numerical results for test problems with those of other derivative-free projection methods. (c) 2021 Elsevier B.V. All rights reserved.

Key words

Nonlinear equations/Derivative-free method/Projection method/Convergence/CONJUGATE-GRADIENT METHOD/SYSTEMS

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出版年

2022
Journal of Computational and Applied Mathematics

Journal of Computational and Applied Mathematics

EISCI
ISSN:0377-0427
被引量6
参考文献量22
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