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Table 2 Relative errors, perturbation bounds and relative condition numbers

From: Perturbation analysis of the stochastic algebraic Riccati equation

m

Relative error

ξ ∗ ∥ X ∥ F

c rel (X)

1

5.94 × 10−15

1.64 × 10−14

5.84 × 101

2

5.28 × 10−14

9.47 × 10−14

5.56 × 102

3

4.75 × 10−13

7.85 × 10−13

5.56 × 103

4

4.58 × 10−12

7.40 × 10−12

5.56 × 104

5

4.85 × 10−11

7.26 × 10−11

5.56 × 105

6

4.56 × 10−10

7.22 × 10−10

5.57 × 106

7

4.69 × 10−9

8.61 × 10−9

5.57 × 107