Reich, Simeon; Zalas, Rafał Comparing the methods of alternating and simultaneous projections for two subspaces. (English) Zbl 07787823 Linear Algebra Appl. 683, 235-263 (2024). MSC: 41A25 41A28 41A44 41A65 PDFBibTeX XMLCite \textit{S. Reich} and \textit{R. Zalas}, Linear Algebra Appl. 683, 235--263 (2024; Zbl 07787823) Full Text: DOI arXiv
Reich, Simeon; Zalas, Rafał Polynomial estimates for the method of cyclic projections in Hilbert spaces. (English) Zbl 07751248 Numer. Algorithms 94, No. 3, 1217-1242 (2023). MSC: 65J15 41A25 41A28 41A44 41A65 PDFBibTeX XMLCite \textit{S. Reich} and \textit{R. Zalas}, Numer. Algorithms 94, No. 3, 1217--1242 (2023; Zbl 07751248) Full Text: DOI arXiv
Kolobov, Victor I.; Reich, Simeon; Zalas, Rafał Finitely convergent deterministic and stochastic iterative methods for solving convex feasibility problems. (English) Zbl 07550226 Math. Program. 194, No. 1-2 (A), 1163-1183 (2022). MSC: 47J25 47N10 90C25 PDFBibTeX XMLCite \textit{V. I. Kolobov} et al., Math. Program. 194, No. 1--2 (A), 1163--1183 (2022; Zbl 07550226) Full Text: DOI arXiv
Reich, Simeon; Zalas, Rafał Error bounds for the method of simultaneous projections with infinitely many subspaces. (English) Zbl 1487.41026 J. Approx. Theory 272, Article ID 105648, 24 p. (2021). Reviewer: Vijay Gupta (New Delhi) MSC: 41A28 41A65 PDFBibTeX XMLCite \textit{S. Reich} and \textit{R. Zalas}, J. Approx. Theory 272, Article ID 105648, 24 p. (2021; Zbl 1487.41026) Full Text: DOI arXiv
Kolobov, Victor I.; Reich, Simeon; Zalas, Rafal Finitely convergent iterative methods with overrelaxations revisited. (English) Zbl 1514.47099 J. Fixed Point Theory Appl. 23, No. 4, Paper No. 57, 21 p. (2021). MSC: 47J25 47N10 90C25 PDFBibTeX XMLCite \textit{V. I. Kolobov} et al., J. Fixed Point Theory Appl. 23, No. 4, Paper No. 57, 21 p. (2021; Zbl 1514.47099) Full Text: DOI arXiv
Cegielski, Andrzej; Gibali, Aviv; Reich, Simeon; Zalas, Rafał Outer approximation methods for solving variational inequalities defined over the solution set of a split convex feasibility problem. (English) Zbl 1446.47062 Numer. Funct. Anal. Optim. 41, No. 9, 1089-1108 (2020). MSC: 47J25 47H09 47J20 65K15 PDFBibTeX XMLCite \textit{A. Cegielski} et al., Numer. Funct. Anal. Optim. 41, No. 9, 1089--1108 (2020; Zbl 1446.47062) Full Text: DOI arXiv
Cegielski, Andrzej; Reich, Simeon; Zalas, Rafał Weak, strong and linear convergence of the CQ-method via the regularity of Landweber operators. (English) Zbl 1435.47063 Optimization 69, No. 3, 605-636 (2020). Reviewer: Safeer Hussain Khan (Doha) MSC: 47J26 47N10 49N45 PDFBibTeX XMLCite \textit{A. Cegielski} et al., Optimization 69, No. 3, 605--636 (2020; Zbl 1435.47063) Full Text: DOI arXiv
Barshad, Kay; Reich, Simeon; Zalas, Rafał Strong coherence and its applications to iterative methods. (English) Zbl 1478.47066 J. Nonlinear Convex Anal. 20, No. 8, 1507-1523 (2019). MSC: 47J25 47N10 65J15 41A50 PDFBibTeX XMLCite \textit{K. Barshad} et al., J. Nonlinear Convex Anal. 20, No. 8, 1507--1523 (2019; Zbl 1478.47066) Full Text: Link
Bargetz, Christian; Kolobov, Victor I.; Reich, Simeon; Zalas, Rafał Linear convergence rates for extrapolated fixed point algorithms. (English) Zbl 07007071 Optimization 68, No. 1, 163-195 (2019). MSC: 47H09 47J25 65F10 PDFBibTeX XMLCite \textit{C. Bargetz} et al., Optimization 68, No. 1, 163--195 (2019; Zbl 07007071) Full Text: DOI arXiv
Cegielski, Andrzej; Reich, Simeon; Zalas, Rafał Regular sequences of quasi-nonexpansive operators and their applications. (English) Zbl 1391.41006 SIAM J. Optim. 28, No. 2, 1508-1532 (2018). Reviewer: Zoltán Finta (Cluj-Napoca) MSC: 41A25 47J25 41A28 65K15 PDFBibTeX XMLCite \textit{A. Cegielski} et al., SIAM J. Optim. 28, No. 2, 1508--1532 (2018; Zbl 1391.41006) Full Text: DOI arXiv
Bargetz, Christian; Reich, Simeon; Zalas, Rafał Convergence properties of dynamic string-averaging projection methods in the presence of perturbations. (English) Zbl 1459.47023 Numer. Algorithms 77, No. 1, 185-209 (2018). MSC: 47H14 47H09 47J25 47N10 65J15 PDFBibTeX XMLCite \textit{C. Bargetz} et al., Numer. Algorithms 77, No. 1, 185--209 (2018; Zbl 1459.47023) Full Text: DOI arXiv Link
Reich, Simeon; Zalas, Rafał The optimal error bound for the method of simultaneous projections. (English) Zbl 1381.41013 J. Approx. Theory 223, 96-107 (2017). Reviewer: Aurelian Bejancu (Safat) MSC: 41A25 41A28 41A44 41A65 PDFBibTeX XMLCite \textit{S. Reich} and \textit{R. Zalas}, J. Approx. Theory 223, 96--107 (2017; Zbl 1381.41013) Full Text: DOI arXiv
Kolobov, Victor I.; Reich, Simeon; Zalas, Rafał Weak, strong, and linear convergence of a double-layer fixed point algorithm. (English) Zbl 1369.47072 SIAM J. Optim. 27, No. 3, 1431-1458 (2017). MSC: 47J25 47H09 47N10 65J99 PDFBibTeX XMLCite \textit{V. I. Kolobov} et al., SIAM J. Optim. 27, No. 3, 1431--1458 (2017; Zbl 1369.47072) Full Text: DOI arXiv
Gibali, Aviv; Reich, Simeon; Zalas, Rafał Outer approximation methods for solving variational inequalities in Hilbert space. (English) Zbl 1367.58006 Optimization 66, No. 3, 417-437 (2017). MSC: 58E35 49J40 PDFBibTeX XMLCite \textit{A. Gibali} et al., Optimization 66, No. 3, 417--437 (2017; Zbl 1367.58006) Full Text: DOI arXiv
Reich, Simeon; Zalas, Rafał A modular string averaging procedure for solving the common fixed point problem for quasi-nonexpansive mappings in Hilbert space. (English) Zbl 1348.47065 Numer. Algorithms 72, No. 2, 297-323 (2016). MSC: 47J25 47H09 47H10 47N10 PDFBibTeX XMLCite \textit{S. Reich} and \textit{R. Zalas}, Numer. Algorithms 72, No. 2, 297--323 (2016; Zbl 1348.47065) Full Text: DOI
Gibali, Aviv; Reich, Simeon; Zalas, Rafał Erratum to: “Iterative methods for solving variational inequalities in Euclidean space”. (English) Zbl 1478.47077 J. Fixed Point Theory Appl. 17, No. 4, 813 (2015). MSC: 47J25 47H09 47J20 PDFBibTeX XMLCite \textit{A. Gibali} et al., J. Fixed Point Theory Appl. 17, No. 4, 813 (2015; Zbl 1478.47077) Full Text: DOI
Gibali, Aviv; Reich, Simeon; Zalas, Rafał Iterative methods for solving variational inequalities in Euclidean space. (English) Zbl 1332.47044 J. Fixed Point Theory Appl. 17, No. 4, 775-811 (2015); erratum ibid. 17, No. 4, 813 (2015). MSC: 47J25 47H09 47J20 PDFBibTeX XMLCite \textit{A. Gibali} et al., J. Fixed Point Theory Appl. 17, No. 4, 775--811 (2015; Zbl 1332.47044) Full Text: DOI
Cegielski, Andrzej; Gibali, Aviv; Reich, Simeon; Zalas, Rafał An algorithm for solving the variational inequality problem over the fixed point set of a quasi-nonexpansive operator in Euclidean space. (English) Zbl 1296.47069 Numer. Funct. Anal. Optim. 34, No. 10, 1067-1096 (2013). Reviewer: Dumitru Motreanu (Perpignan) MSC: 47J25 47J20 47J40 65K15 47N10 PDFBibTeX XMLCite \textit{A. Cegielski} et al., Numer. Funct. Anal. Optim. 34, No. 10, 1067--1096 (2013; Zbl 1296.47069) Full Text: DOI arXiv