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Table 3 INVERSE-FREE iterative Algorithm  4.1

From: Investigation of the existence and uniqueness of extremal and positive definite solutions of nonlinear matrix equations

α

k

tol = 10−6

tol = 10−8

tol = 10−10

1.2

8

20

31

1.4

10

22

33

1.6

11

23

34

1.8

12

24

35

2

13

25

36

  1. k: The number of iterations.