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Projected Adaptive Cubic Regularization Algorithm with Derivative-Free Filter Technique for Box Constrained Optimization

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  • Lingyun He
  • Peng Wang
  • Detong Zhu
  • Viktor Avrutin

Abstract

An adaptive projected affine scaling algorithm of cubic regularization method using a filter technique for solving box constrained optimization without derivatives is put forward in the passage. The affine scaling interior-point cubic model is based on the quadratic probabilistic interpolation approach on the objective function. The new iterations are obtained by the solutions of the projected adaptive cubic regularization algorithm with filter technique. We prove the convergence of the proposed algorithm under some assumptions. Finally, experiments results showed that the presented algorithm is effective in detail.

Suggested Citation

  • Lingyun He & Peng Wang & Detong Zhu & Viktor Avrutin, 2021. "Projected Adaptive Cubic Regularization Algorithm with Derivative-Free Filter Technique for Box Constrained Optimization," Discrete Dynamics in Nature and Society, Hindawi, vol. 2021, pages 1-13, October.
    • Handle: RePEc:hin:jnddns:1496048
    DOI: 10.1155/2021/1496048
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