Beispiel - SAM - ETH Zürich

ρ n /10
10 5
10 4
10 3
10 2
10 1
10 6 n
ρ = 1.10
ρ = 1.20
ρ = 1.30
ρ = 1.40
ρ = 1.50
ρ = 1.60
ρ = 1.70
ρ = 1.80
ρ = 1.90
ρ = 2.00
ρ = 2.10
ρ = 2.20
ρ = 2.30
ρ = 2.40
ρ = 2.50
ρ
min|P n
(z)| on ellipse E
10 5
10 4
10 3
10 2
10 1
ρ
ρ
ρ
10 6 n
= 1.10
= 1.20
= 1.30
= 1.40
= 1.50
= 1.60
= 1.70
= 1.80
= 1.90
= 2.00
= 2.10
= 2.20
= 2.30
= 2.40
= 2.50
ρ
Numerische
Mathemtik
10 0
10 0
10 −1
0 2 4 6 8 10 12 14 16
Fig. 71
0.1·ρ n als Funktion vonnfür verschiedeneρ > 1
10 −1
0 2 4 6 8 10 12 14 16
Approximation von min
z∈E ρ
|P n (z)|
Fig. 72
R. Hiptmair
rev 35327,
25. April
2011
2.2
p. 204