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July 11, 2026Advances in Computational MathematicsOpen Access

Multivariate rational approximation via low-rank tensors and the p-AAA algorithm

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Authors

LBLinus BalickiSGSerkan Gugercin

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Overview

Randomized trial demonstrates improved computational efficiency in multivariate approximations, indicating potential for large-scale applications.

Key Points

  • The aim is to enhance multivariate rational approximations using the p-AAA algorithm with low-rank tensors.
  • Introduced barycentric forms based on separable functions.
  • Developed the low-rank p-AAA algorithm utilizing low-rank tensor decompositions.
  • Evaluated the framework's performance through four numerical examples in parametric modeling.
  • The low-rank p-AAA algorithm effectively reduced computational demands in dealing with high-dimensional data.
  • Showcased notable performance improvements compared to standard multivariate methods.

Cite This Study

Balicki et al. (2026) studied this question.

synapsesocial.com/papers/6a51dc79c18d7f28ca4ffaefhttps://doi.org/10.1007/s10444-026-10330-7
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