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Table 3 Example 5.2 with \(\pmb{t=r=30}\) , \(\pmb{m=50}\) , \(\pmb{n=60}\)

From: Iterative methods for solving the multiple-sets split feasibility problem with splitting self-adaptive step size

Methods

Initial point

\(\boldsymbol{\delta= 10^{-5}}\)

\(\boldsymbol{\delta= 10^{-6}}\)

\(\boldsymbol{\delta= 10^{-7}}\)

\(\boldsymbol{\delta= 10^{-8}}\)

k

k

k

k

Zhao and Yang [17]

\(\mathbf{e}_{\mathbf{1}}\)

268

328

375

402

\(100\mathbf{e}_{\mathbf{1}}\)

9,806

10,529

10,643

11,724

\(-100\mathbf{e}_{\mathbf{1}}\)

8,778

9,264

9,479

9,566

Cyclic of Wen et al. [18]

\(\mathbf{e}_{\mathbf{1}}\)

9

13

14

14

\(100\mathbf{e}_{\mathbf{1}}\)

273

278

293

311

\(-100\mathbf{e}_{\mathbf{1}}\)

173

194

195

202

Simultaneous of Wen et al. [18]

\(\mathbf{e}_{\mathbf{1}}\)

192

238

247

248

\(100\mathbf{e}_{\mathbf{1}}\)

5,679

6,865

7,103

7,334

\(-100\mathbf{e}_{\mathbf{1}}\)

3,163

3,428

3,726

3,952

Iterative sequence (18)

\(\mathbf{e}_{\mathbf{1}}\)

312

515

538

756

\(100\mathbf{e}_{\mathbf{1}}\)

5,157

5,636

7,017

10,078

\(-100\mathbf{e}_{\mathbf{1}}\)

2,140

3,393

3,656

5,925

  1. The numerical results obtained by the relaxed iterative algorithm of Zhao and Yang [17], Wen et al. [18] and iterative sequence (18), where k is the same as in Table 2.