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November 15, 2025MathematicsOpen Access

Tropical Solution of Discrete Best Approximation Problems

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Authors

NKNikolai Krivulin

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Overview

Analysis reveals a rational function approximating data using max-plus algebra, suggesting efficient algorithms for optimization.

Key Points

  • An approximation error quantifies the fit of the rational function to input-output pairs, ensuring accuracy.
  • Using max-plus algebra allows piecewise linear approximation of functions in tropical algebra frameworks.
  • The proposed algorithm alternates fixing one side of the equation, yielding approximate solutions efficiently.
  • Numerical experience shows the algorithm converges quickly, highlighting its potential for complex approximation problems.

Cite This Study

Nikolai Krivulin (2025) studied this question.

synapsesocial.com/papers/69251994c0ce034ddc3537c7https://doi.org/10.3390/math13223660
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