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Table 3 Error estimation results for the FitzHugh–Nagumo model

From: Multivariate moment-matching for model order reduction of quadratic-bilinear systems using error bounds

No. of iterations

Interpolation points

Max. true error

Max. est. error

 

\(\{\sigma _{1i},\sigma _{2i}\}\)

  

1

534.69, 534.69

0.282519

1152.4511

2

1.38, 1.08

\(4.7413\times 10^{-1}\)

8.4587

3

\(3.91-5.45\iota ,1.38\)

\(1.2373\times 10^{-4}\)

\(4.3284 \times 10^{-3}\)

4

39.38, 1.08

\(2.5379 \times 10^{-6}\)

\(5.9555 \times 10^{-5}\)

5

110.46, 1.08

\(8.2393 \times 10^{-6}\)

\(2.1293\times 10^{-5}\)

6

3.96, 1.08

\(4.3429 \times 10^{-5}\)

\(7.1251\times 10^{-4}\)

7

17.63, 1.08

\(7.6047 \times 10^{-6}\)

\(4.6707\times 10^{-5}\)

8

\(4.83-4.72\iota ,1.08\)

\(9.7775 \times 10^{-8}\)

\(1.932\times 10^{-7}\)