Robust Pade approximants may have spurious poles
Walter F. Mascarenhas
TL;DR
This paper demonstrates that robust Pade approximants can contain false poles and may fail to converge at specific points, highlighting limitations in their reliability.
Contribution
It reveals that robustness in Pade approximants does not guarantee the absence of spurious poles or convergence, challenging previous assumptions.
Findings
Robust Pade approximants can have spurious poles.
They may not converge pointwise.
Robustness does not ensure accuracy.
Abstract
We show that robust Pade approximants may have spurious poles and may not converge pointwise
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Taxonomy
TopicsModel Reduction and Neural Networks · Fractional Differential Equations Solutions · Probabilistic and Robust Engineering Design