Contributors

The mLF is due to the contributions of multiple people (by alphabetical order)

• A. C. Antoulas, Rice University, Houston, Texas, USA.
• I-V. Gosea, Max Planck Institute, Magdebourg, Germany.
• C. Poussot-Vassal, Onera, Toulouse, France.
• P. Vuillemin, Onera, Toulouse, France.

References

Main mLF references (by ascending chronological order)

• A. C. Antoulas, I. V. Gosea and C. Poussot-Vassal, "On the Loewner framework, the Kolmogorov superposition theorem, and the curse of dimensionality", in SIAM Review (Research Spotlight), Vol. 67(4), pp. 737-770, November 2025.
  >> arXiv
• C. Poussot-Vassal, I. V. Gosea, P. Vuillemin and A. C. Antoulas, "Study on tensor-based multivariate function approximation methods", in submission.
  >> arXiv (regularly updated exhaustive report)
• A. C. Antoulas, I. V. Gosea and C. Poussot-Vassal, "Variable decoupling and the Kolmogorov superposition theorem for rational functions", in submission.
  >> arXiv

Fundamental historical references (by ascending chronological order)

• A. C. Antoulas and B. D. O. Anderson, "On the scalar rational interpolation problem", IMA Journal of Mathematical Control and Information, Vol. 3(2-3), pp. 61-88, September 1986.
• J-P. Berrut and L. N. Trefethen, "Barycentric Lagrange interpolation", SIAM Reviews, Vol. 46(3), pp. 501-517, November 2004.
• A. C. Antoulas "Approximation of Large-Scale Dynamical Systems", SIAM Advances in Design and Control, Philadelphia, 2005.
• A. J. Mayo and A. C. Antoulas, "A framework for the solution of the generalized realization problem", Linear Algebra and its Applications, Vol. 425(2-3), pp. 634-662, September 2007.
• A. C. Antoulas, S. Lefteriu and A. C. Ionita, "Chapter 8: A Tutorial Introduction to the Loewner Framework for Model Reduction", SIAM, 2017.