Table 5 Numerical results for \(\pmb{\mathbb{B}^{+}=[1,-2; -2,5]}\) , \(\pmb{\mathbb{B}^{-}=[100,-200; -200,500]}\)

Nonsymmetric PIFE (ε = 1)

8 × 8

1.2304E − 1

-

2.3400

-

16 × 16

3.1217E − 2

1.9788

1.1799

0.9878

32 × 32

7.8667E − 3

1.9885

5.9443E − 1

0.9891

64 × 64

1.9740E − 3

1.9946

2.9836E − 1

0.9944

128 × 128

4.9317E − 4

2.0010

1.4940E − 1

0.9979

256 × 256

1.2335E − 4

1.9993

7.4752E − 2

0.9990

Incomplete PIFE (ε = 0)

8 × 8

1.2054E − 1

-

2.3118

-

16 × 16

3.1041E − 2

1.9572

1.1770

0.9739

32 × 32

7.8555E − 3

1.9824

5.9417E − 1

0.9862

64 × 64

1.9738E − 3

1.9927

2.9834E − 1

0.9939

128 × 128

4.9332E − 4

2.0004

1.4937E − 1

0.9981

256 × 256

1.2343E − 4

1.9988

7.4746E − 2

0.9988

Symmetric PIFE (ε = −1)

8 × 8

1.2010E − 1

-

2.3060

-

16 × 16

3.1019E − 2

1.9530

1.1767

0.9707

32 × 32

7.8549E − 3

1.9815

5.9414E − 1

0.9858

64 × 64

1.9737E − 3

1.9927

2.9833E − 1

0.9939

128 × 128

4.9330E − 4

2.0004

1.4936E − 1

0.9981

256 × 256

1.2343E − 4

1.9988

7.4746E − 2

0.9987