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<p>In this paper, we develop a new Lagrange tensor interpolation. Using 4th order tensors, we develop a new product and then use jordanisation which gives us a practical method to calculate the coefficients of the tensor interpolating polynomial. There are multiple tensorial products; we develop a new product using the Einstein product which is most suitable for the work, we determine the coefficients of the interpolating polynomial as well as give the expression of the Langrange tensor interpolating polynomial. Furthermore, we will give examples of the effectiveness of this method in interpolating tensorial functions.</p>

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Tensor lagrange interpolation

  • 期刊论文

  • 发表日期：

    2026年5月13日

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  • Salma Ouahidi,
  • Mustapha Esghir

摘要

In this paper, we develop a new Lagrange tensor interpolation. Using 4th order tensors, we develop a new product and then use jordanisation which gives us a practical method to calculate the coefficients of the tensor interpolating polynomial. There are multiple tensorial products; we develop a new product using the Einstein product which is most suitable for the work, we determine the coefficients of the interpolating polynomial as well as give the expression of the Langrange tensor interpolating polynomial. Furthermore, we will give examples of the effectiveness of this method in interpolating tensorial functions.