Tensor Interpolation

In this paper, we develop a new Lagrange tensor interpolation. We define tensorial jordanisation which gives us a practical method to calculate the coefficients of our tensor interpolating polynomial. Unlike what happens in the case of matrices where the product is simpler, there are multiple tensor...

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Bibliographic Details
Published in:Numerical algorithms Vol. 100; no. 4; pp. 1599 - 1615
Main Authors: Ouahidi, Salma, Sadaka, Rachid
Format: Journal Article
Language:English
Published: New York Springer US 01.12.2025
Springer Nature B.V
Subjects:
Algebra
Algorithms
Computer Science
Fourier transforms
Interpolation
Numeric Computing
Numerical Analysis
Polynomials
Tensors
Theory of Computation
Interpolation
T-product
Tensor
Lagrange
ISSN:1017-1398, 1572-9265
Online Access:Get full text
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Summary:In this paper, we develop a new Lagrange tensor interpolation. We define tensorial jordanisation which gives us a practical method to calculate the coefficients of our tensor interpolating polynomial. Unlike what happens in the case of matrices where the product is simpler, there are multiple tensorial products; we use the T -product and develop a new product which is most suitable for our work, we determine the coefficients of our 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.
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ISSN:1017-1398
1572-9265
DOI:10.1007/s11075-025-02070-4