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Table 9 For N=20 , m=6 and θ=1/14 , the exact solutions λ k are all inside the interval [ b − , b + ] for different values of ε

From: Computing eigenvalues and Hermite interpolation for Dirac systems with eigenparameter in boundary conditions

λ k

Exact λ k

[ b − , b + ], ε = 10 − 10

[ b − , b + ], ε = 10 − 15

λ − 2

−3.736432198331617091212013

[−3.881037,−3.476447]

[−3.836682,−3.557513]

λ − 1

−1.080197671479782493157863

[−1.435432,−0.665868]

[−1.365324,−0.760935]

λ 0

0.6565187872152199183983102

[0.410872,1.116247]

[0.492155,1.004381]

λ 1

3.118561450164816849643922

[2.884061,3.390359]

[2.940901,3.331955]

  1. E 4 ( R θ , m )=2.9056× 10 7 , E 3 ( R θ , m )=2.29859× 10 6 , ω = 1, M R θ , m =98845.4.