Skip to main content

Table 1 Values choosing \(u^{1}= (1,0)^{T} \), \(v^{1}=(2, 1)^{T}\)

From: Iterative algorithms for solutions of Hammerstein equations in real Banach spaces

 

Algorithm (1.8)

Algorithm (1.9)

Algorithm (3.9)

n

\(\|u_{n+1}\|\)

\(\|v_{n+1}\|\)

\(\|u_{n+1}\|\)

\(\|v_{n+1}\|\)

\(\|u_{n+1}\|\)

\(\|v_{n+1}\|\)

1

1

2

1

2

1

2

2

5.0

9.0

3.2426

6.0711

4.138

6.665

3

5.5

24.0

5.7301

21.5393

7.464

24.944

10

0.0331

0.1479

153.338

562.409

231.37

998.396

20

0.0002

0.0007

4.1488

17.0121

37.730

73.156

41

4.780 × e−6

6.6 × e−6

0.0862

0.0571

3.323 × e−8

1.064 × e−7

50

2.377 × e−6

2.387 × e−6

0.0784

0.0519

successful

100

1.703 × e−7

2.438 × e−8

0.0561

0.0371

successful

116

9.703 × e−8

2.043 × e−8

0.0519

0.0343

successful

200

successful

0.03993

0.0263

successful

500

successful

0.02539

0.0167

successful

1000

successful

0.0179

0.0118

successful