Table 4 Numerical results for \(\pmb{\mathbb{B}^{+}=[10,20; 20,50]}\) , \(\pmb{\mathbb{B}^{-}=[1,2; 2,5]}\)

Nonsymmetric PIFE (ε = 1)

8 × 8

1.8010E − 1

-

3.5464

-

16 × 16

5.1864E − 2

1.7960

2.1268

0.7377

32 × 32

1.4329E − 2

1.8558

1.1824

0.8469

64 × 64

3.6979E − 3

1.9541

6.1435E − 1

0.9446

128 × 128

9.5226E − 4

1.9573

3.1524E − 1

0.9626

256 × 256

2.3939E − 4

1.9920

1.5897E − 1

0.9877

Incomplete PIFE (ε = 0)

8 × 8

1.7212E − 1

-

3.3852

-

16 × 16

5.0836E − 2

1.7595

2.0585

0.7177

32 × 32

1.4025E − 2

1.8578

1.1467

0.8440

64 × 64

3.6820E − 3

1.9295

6.0852E − 1

0.9141

128 × 128

9.5061E − 4

1.9536

3.1442E − 1

0.9526

256 × 256

2.3906E − 4

1.9915

1.5868E − 1

0.9865

Symmetric PIFE (ε = −1)

8 × 8

1.7172E − 1

-

3.3561

-

16 × 16

5.0887E − 2

1.7547

2.0499

0.7112

32 × 32

1.4029E − 2

1.8589

1.1439

0.8416

64 × 64

3.6839E − 3

1.9291

6.0784E − 1

0.9122

128 × 128

9.5104E − 4

1.9537

3.1429E − 1

0.9516

256 × 256

2.3912E − 4

1.9918

1.5865E − 1

0.9862