Least Squares Rational Approximation.

@inproceedings{Hokanson2018LeastSR,
  title={Least Squares Rational Approximation.},
  author={Jeffrey M. Hokanson and Caleb C. Magruder},
  year={2018}
}
Rational approximation appears in many contexts throughout science and engineering, playing a central role in linear systems theory, special function approximation, and many others. There are many existing methods for solving the rational approximation problem, from fixed point methods like the Sanathanan-Koerner iteration and Vector Fitting, to partial interpolation methods like Adaptive Anderson Antoulas (AAA). While these methods can often find rational approximations with a small residual… CONTINUE READING

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References

Publications referenced by this paper.
SHOWING 1-10 OF 22 REFERENCES

On the nonconvergence of the vector fitting algorithm

G. Shi
  • IEEE T. Circuits-II, 63
  • 2016
VIEW 9 EXCERPTS
HIGHLY INFLUENTIAL

Improving the pole relocating properties of vector fitting

  • 2006 IEEE Power Engineering Society General Meeting
  • 2006
VIEW 14 EXCERPTS
HIGHLY INFLUENTIAL

and L

Y. Nakatsukasa, O. Sète
  • N. Trefethen, The AAA algorithm for rational approximation
  • 2016
VIEW 5 EXCERPTS
HIGHLY INFLUENTIAL

On the Convergence of the Vector-Fitting Algorithm

  • IEEE Transactions on Microwave Theory and Techniques
  • 2013
VIEW 2 EXCERPTS

ă

A. C. Ionit
  • Lagrange rational interpolation and its application to large-scale dynamical systems, PhD thesis, Rice University
  • 2013