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August 13, 2026Engineering Computations

Improved fixed point iterative for solving absolute value equations

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Authors

林林荣斐MGMiao GuoMCMinhong Chen

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Overview

Randomized trial demonstrates enhanced convergence for absolute value equations using matrix splitting techniques.

Key Points

  • This study aims to develop efficient fixed point iterative methods for solving absolute value equations (AVEs) using matrix splitting techniques.
  • Proposed improved matrix-splitting fixed point iterative methods for AVE.
  • Utilized a two-step iterative framework with various matrix splitting strategies.
  • Established two sufficient conditions to ensure the convergence of the algorithms.
  • One matrix splitting scheme showed significantly better performance, reducing iteration numbers and CPU time.
  • Demonstrated feasibility and efficiency of the two-step iterative algorithms through numerical experiments.
  • Convergence conditions were theoretically supported, enhancing the overall computational advantages.

Cite This Study

林荣斐 et al. (2026) studied this question.

synapsesocial.com/papers/6a7d76bd2b0e0cff3f6405f1https://doi.org/10.1108/ec-01-2026-0033
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