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<p>In recent years, Spectral Conjugate Gradient (SCG) algorithms have gained increasing attention for image restoration problem. This study proposed a three efficient SCG method for solving convex-constrained nonlinear equations with image recovery. The proposed algorithms ensure bounded search directions that exhibit sufficient descent. Furthermore, the algorithm’s global and Q-linear convergence is established under a reasonable assumptions. To assess its effectiveness, we conduct numerical tests, comparing the proposed algorithms with existing methods. Finally, we apply the proposed method to image restoration problems.</p>

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A new spectral conjugate gradient method for convex constrained monotone nonlinear equations with application to image restoration

  • 期刊论文

  • 发表日期：

    2026年4月19日

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  • Muhammad Abdullahi,
  • Kejia Pan,
  • Abubakar Sani Halilu,
  • Auwal Bala Abubakar,
  • Tiamiyu Abd’gafar Tunde,
  • Abdullah Al-Yaari

摘要

In recent years, Spectral Conjugate Gradient (SCG) algorithms have gained increasing attention for image restoration problem. This study proposed a three efficient SCG method for solving convex-constrained nonlinear equations with image recovery. The proposed algorithms ensure bounded search directions that exhibit sufficient descent. Furthermore, the algorithm’s global and Q-linear convergence is established under a reasonable assumptions. To assess its effectiveness, we conduct numerical tests, comparing the proposed algorithms with existing methods. Finally, we apply the proposed method to image restoration problems.