Bauschke, Heinz H.; Ouyang, Hui; Wang, Xianfu On the linear convergence of circumcentered isometry methods. (English) Zbl 07340125 Numer. Algorithms 87, No. 1, 263-297 (2021). MSC: 47-XX 41A50 47H30 65B99 46B04 90C25 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., Numer. Algorithms 87, No. 1, 263--297 (2021; Zbl 07340125) Full Text: DOI arXiv
Bauschke, Heinz H.; Moursi, Walaa M. On the behavior of the Douglas-Rachford algorithm for minimizing a convex function subject to a linear constraint. (English) Zbl 1451.90117 SIAM J. Optim. 30, No. 3, 2559-2576 (2020). MSC: 90C25 65K10 47H14 PDFBibTeX XMLCite \textit{H. H. Bauschke} and \textit{W. M. Moursi}, SIAM J. Optim. 30, No. 3, 2559--2576 (2020; Zbl 1451.90117) Full Text: DOI arXiv
Bauschke, Heinz H.; Dao, Minh N.; Lindstrom, Scott B. The Douglas-Rachford algorithm for a hyperplane and a doubleton. (English) Zbl 1474.49065 J. Glob. Optim. 74, No. 1, 79-93 (2019). MSC: 49M27 47J25 65K05 65K10 90C26 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., J. Glob. Optim. 74, No. 1, 79--93 (2019; Zbl 1474.49065) Full Text: DOI arXiv
Bauschke, Heinz H.; Koch, Valentin R.; Phan, Hung M. Stadium norm and Douglas-Rachford splitting: a new approach to road design optimization. (English) Zbl 1338.90381 Oper. Res. 64, No. 1, 201-218 (2016). MSC: 90C30 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., Oper. Res. 64, No. 1, 201--218 (2016; Zbl 1338.90381) Full Text: DOI arXiv
Bauschke, Heinz H.; Luke, D. Russell; Phan, Hung M.; Wang, Xianfu Restricted normal cones and sparsity optimization with affine constraints. (English) Zbl 1298.49047 Found. Comput. Math. 14, No. 1, 63-83 (2014). Reviewer: Hans Benker (Merseburg) MSC: 49M20 49J52 65K05 90C30 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., Found. Comput. Math. 14, No. 1, 63--83 (2014; Zbl 1298.49047) Full Text: DOI arXiv
Bauschke, Heinz H.; Noll, Dominikus On cluster points of alternating projections. (English) Zbl 1324.65095 Serdica Math. J. 39, No. 3-4, 355-364 (2013). Reviewer: N. K. Ribarska (Sofia) MSC: 65K10 47H04 49M20 49M37 90C26 90C30 PDFBibTeX XMLCite \textit{H. H. Bauschke} and \textit{D. Noll}, Serdica Math. J. 39, No. 3--4, 355--364 (2013; Zbl 1324.65095) Full Text: arXiv
Bauschke, Heinz H.; Luke, D. Russell; Phan, Hung M.; Wang, Xianfu Restricted normal cones and the method of alternating projections: applications. (English) Zbl 1349.65191 Set-Valued Var. Anal. 21, No. 3, 475-501 (2013). Reviewer: Hang Lau (Montréal) MSC: 65K05 65K10 47H04 49J52 49M20 49M37 90C26 90C30 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., Set-Valued Var. Anal. 21, No. 3, 475--501 (2013; Zbl 1349.65191) Full Text: DOI
Wang, Xianfu; Bauschke, Heinz H. Compositions and averages of two resolvents: relative geometry of fixed points sets and a partial answer to a question by C.Byrne. (English) Zbl 1228.47052 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 13, 4550-4572 (2011). Reviewer: Nicolas Hadjisavvas (Hermoupolis) MSC: 47H05 47H09 26B25 47H10 47J25 90C25 PDFBibTeX XMLCite \textit{X. Wang} and \textit{H. H. Bauschke}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 13, 4550--4572 (2011; Zbl 1228.47052) Full Text: DOI arXiv
Bauschke, Heinz H.; Combettes, Patrick L.; Kruk, Serge G. Extrapolation algorithm for affine-convex feasibility problems. (English) Zbl 1098.65060 Numer. Algorithms 41, No. 3, 239-274 (2006). Reviewer: Karel Zimmermann (Praha) MSC: 65K05 90C25 47J25 47N10 90C48 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., Numer. Algorithms 41, No. 3, 239--274 (2006; Zbl 1098.65060) Full Text: DOI
Bauschke, Heinz H.; Combettes, Patrick L.; Reich, Simeon The asymptotic behavior of the composition of two resolvents. (English) Zbl 1075.47033 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 60, No. 2, 283-301 (2005). Reviewer: Sotiris K. Ntouyas (Ioannina) MSC: 47J05 47H09 90C25 49J40 47H05 47J25 47N10 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 60, No. 2, 283--301 (2005; Zbl 1075.47033) Full Text: DOI
Bauschke, H. H. A norm convergence result on random products of relaxed projections in Hilbert space. (English) Zbl 0832.47055 Trans. Am. Math. Soc. 347, No. 4, 1365-1373 (1995). MSC: 47J25 47H09 47N10 46C99 65F10 65J05 65K05 90C25 92C55 PDFBibTeX XMLCite \textit{H. H. Bauschke}, Trans. Am. Math. Soc. 347, No. 4, 1365--1373 (1995; Zbl 0832.47055) Full Text: DOI