Table 3.

Extrema of the eigenvalues Λ_ii, i = 1, …, 8192, of the reduced Hessian reported in Figure 2. We report values for plain H²-regularization (γ = 0; top block) and the Stokes regularization scheme (γ = 1; H¹-regularization; bottom block). We refer to Figure 2 and the text for details on the experimental setup. We report the smallest and the largest real part as well as the largest absolute value of the imaginary part of the eigenvalues Λ_ii with respect to different choices of the regularization parameter β ∈ {0, 1E–2, 1E6}.

H2-regularization (γ = 0)
β	$min\{{(Re({\mathrm{\Lambda }}_{ii}))}_{i=1}^n\}$	$max\{{(Re({\mathrm{\Lambda }}_{ii}))}_{i=1}^n\}$	$max\{{(\mid Im({\mathrm{\Lambda }}_{ii})\mid )}_{i=1}^n\}$
0	−8.35E–15	3.72E1	3.26E–7
1E–3	2.59E–3	4.19E3	0.
1E6	1.30	4.19E12	0.

Stokes regularization (γ = 1)
β	$min\{{(Re({\mathrm{\Lambda }}_{ii}))}_{i=1}^n\}$	$max\{{(Re({\mathrm{\Lambda }}_{ii}))}_{i=1}^n\}$	$max\{{(\mid Im({\mathrm{\Lambda }}_{ii})\mid )}_{i=1}^n\}$
0	−3.74E–13	2.48E1	5.92E–6
1E–3	1.00E–3	2.56E1	2.59E–6
1E6	1.29	2.05E9	1.43E–7