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A New Noninterior Continuation Method for Solving a System of Equalities and Inequalities

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  • Jianguang Zhu
  • Binbin Hao

Abstract

By using slack variables and minimum function, we first reformulate the system of equalities and inequalities as a system of nonsmooth equations, and, using smoothing technique, we construct the smooth operator. A new noninterior continuation method is proposed to solve the system of smooth equations. It shows that any accumulation point of the iteration sequence generated by our algorithm is a solution of the system of equalities and inequalities. Some numerical experiments show the feasibility and efficiency of the algorithm.

Suggested Citation

  • Jianguang Zhu & Binbin Hao, 2014. "A New Noninterior Continuation Method for Solving a System of Equalities and Inequalities," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-6, April.
    • Handle: RePEc:hin:jnljam:592540
    DOI: 10.1155/2014/592540
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    Cited by:

    1. Zhengqing Fu & Lanlan Guo, 2019. "Tikhonov Regularized Variable Projection Algorithms for Separable Nonlinear Least Squares Problems," Complexity, Hindawi, vol. 2019, pages 1-9, November.
    2. Jianguang Zhu & Kai Li & Binbin Hao, 2019. "Image Restoration by Second-Order Total Generalized Variation and Wavelet Frame Regularization," Complexity, Hindawi, vol. 2019, pages 1-16, March.

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