Ngai, Van Huynh; Penot, Jean-Paul The semiconvex regularization of functions. (English) Zbl 07742556 SIAM J. Optim. 33, No. 3, 2457-2483 (2023). MSC: 49J45 26B25 26E15 41A65 46G05 49N15 PDFBibTeX XMLCite \textit{V. H. Ngai} and \textit{J.-P. Penot}, SIAM J. Optim. 33, No. 3, 2457--2483 (2023; Zbl 07742556) Full Text: DOI
Bauschke, Heinz H.; Singh, Shambhavi; Wang, Xianfu The splitting algorithms by Ryu, by Malitsky-Tam, and by Campoy applied to normal cones of linear subspaces converge strongly to the projection onto the intersection. (English) Zbl 07700282 SIAM J. Optim. 33, No. 2, 739-765 (2023). Reviewer: Ravindra Kishor Bisht (Pune) MSC: 41A50 49M27 65K05 47H05 15A10 47H09 49M37 90C25 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., SIAM J. Optim. 33, No. 2, 739--765 (2023; Zbl 07700282) Full Text: DOI arXiv
Liu, Zihan; Ramchandran, Kannan Adaptive Douglas-Rachford splitting algorithm from a Yosida approximation standpoint. (English) Zbl 07384488 SIAM J. Optim. 31, No. 3, 1971-1998 (2021). MSC: 47H10 49M27 41A25 65K05 65K10 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{K. Ramchandran}, SIAM J. Optim. 31, No. 3, 1971--1998 (2021; Zbl 07384488) Full Text: DOI
Li, Chong; Ng, Kung Fu; Yao, Jen-Chih; Zhao, Xiaopeng The FM and BCQ qualifications for inequality systems of convex functions in normed linear spaces. (English) Zbl 07351610 SIAM J. Optim. 31, No. 2, 1410-1432 (2021). Reviewer: Gabriela Cristescu (Arad) MSC: 90C30 90C25 52A07 41A29 PDFBibTeX XMLCite \textit{C. Li} et al., SIAM J. Optim. 31, No. 2, 1410--1432 (2021; Zbl 07351610) Full Text: DOI
Dao, Minh N.; Phan, Hung M. Adaptive Douglas-Rachford splitting algorithm for the sum of two operators. (English) Zbl 1440.47054 SIAM J. Optim. 29, No. 4, 2697-2724 (2019). Reviewer: Stepan Agop Tersian (Rousse) MSC: 47J26 47H05 49M27 41A25 65K10 90C25 PDFBibTeX XMLCite \textit{M. N. Dao} and \textit{H. M. Phan}, SIAM J. Optim. 29, No. 4, 2697--2724 (2019; Zbl 1440.47054) Full Text: DOI arXiv
Bednarczuk, E.; Rutkowski, K. On Lipschitz-like property for polyhedral moving sets. (English) Zbl 1431.49017 SIAM J. Optim. 29, No. 4, 2504-2516 (2019). Reviewer: Ba Khiet Le (Rancagua) MSC: 49J53 41A50 46C05 49K27 52A07 90C31 PDFBibTeX XMLCite \textit{E. Bednarczuk} and \textit{K. Rutkowski}, SIAM J. Optim. 29, No. 4, 2504--2516 (2019; Zbl 1431.49017) Full Text: DOI arXiv
Cai, Jian-Feng; Wang, Tianming; Wei, Ke Spectral compressed sensing via projected gradient descent. (English) Zbl 1447.94008 SIAM J. Optim. 28, No. 3, 2625-2653 (2018). MSC: 94A12 15A29 15A83 41A29 65F22 90C26 93C41 47B35 PDFBibTeX XMLCite \textit{J.-F. Cai} et al., SIAM J. Optim. 28, No. 3, 2625--2653 (2018; Zbl 1447.94008) Full Text: DOI arXiv
Lebair, Teresa M.; Basu, Amitabh Approximation of minimal functions by extreme functions. (English) Zbl 1403.90518 SIAM J. Optim. 28, No. 3, 2518-2540 (2018). MSC: 90C10 41A29 41A63 PDFBibTeX XMLCite \textit{T. M. Lebair} and \textit{A. Basu}, SIAM J. Optim. 28, No. 3, 2518--2540 (2018; Zbl 1403.90518) 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
Bauschke, Heinz H.; Dao, Minh N. On the finite convergence of the Douglas-Rachford algorithm for solving (not necessarily convex) feasibility problems in Euclidean spaces. (English) Zbl 1365.90194 SIAM J. Optim. 27, No. 1, 507-537 (2017). MSC: 90C25 41A25 47H09 49M27 PDFBibTeX XMLCite \textit{H. H. Bauschke} and \textit{M. N. Dao}, SIAM J. Optim. 27, No. 1, 507--537 (2017; Zbl 1365.90194) Full Text: DOI arXiv
Borwein, Jonathan M.; Li, Guoyin; Tam, Matthew K. Convergence rate analysis for averaged fixed point iterations in common fixed point problems. (English) Zbl 1361.90045 SIAM J. Optim. 27, No. 1, 1-33 (2017). MSC: 90C25 90C31 41A25 41A50 PDFBibTeX XMLCite \textit{J. M. Borwein} et al., SIAM J. Optim. 27, No. 1, 1--33 (2017; Zbl 1361.90045) Full Text: DOI arXiv
Jeffrey Pang, C. H. The supporting halfspace-quadratic programming strategy for the dual of the best approximation problem. (English) Zbl 1355.41021 SIAM J. Optim. 26, No. 4, 2591-2619 (2016). Reviewer: Vasile Postolică (Piatra Neamt) MSC: 41A50 68Q25 PDFBibTeX XMLCite \textit{C. H. Jeffrey Pang}, SIAM J. Optim. 26, No. 4, 2591--2619 (2016; Zbl 1355.41021) Full Text: DOI arXiv
Yang, Yuning; Feng, Yunlong; Huang, Xiaolin; Suykens, Johan A. K. Rank-1 tensor properties with applications to a class of tensor optimization problems. (English) Zbl 1329.90114 SIAM J. Optim. 26, No. 1, 171-196 (2016). MSC: 90C26 15A18 15A69 41A50 PDFBibTeX XMLCite \textit{Y. Yang} et al., SIAM J. Optim. 26, No. 1, 171--196 (2016; Zbl 1329.90114) Full Text: DOI Link
Li, Chong; Ng, K. F. The dual normal CHIP and linear regularity for infinite systems of convex sets in Banach spaces. (English) Zbl 1330.90076 SIAM J. Optim. 24, No. 3, 1075-1101 (2014). Reviewer: Constantin Zălinescu (Iaşi) MSC: 90C25 90C48 41A65 41A29 PDFBibTeX XMLCite \textit{C. Li} and \textit{K. F. Ng}, SIAM J. Optim. 24, No. 3, 1075--1101 (2014; Zbl 1330.90076) Full Text: DOI
Borwein, Jonathan M.; Li, Guoyin; Yao, Liangjin Analysis of the convergence rate for the cyclic projection algorithm applied to basic semialgebraic convex sets. (English) Zbl 1296.41011 SIAM J. Optim. 24, No. 1, 498-527 (2014). Reviewer: George Stoica (Saint John) MSC: 41A25 90C25 41A50 90C31 PDFBibTeX XMLCite \textit{J. M. Borwein} et al., SIAM J. Optim. 24, No. 1, 498--527 (2014; Zbl 1296.41011) Full Text: DOI arXiv
Li, Chong; Zhao, Xiaopeng; Hu, Yaohua Quasi-Slater and Farkas-Minkowski qualifications for semi-infinite programming with applications. (English) Zbl 1298.90119 SIAM J. Optim. 23, No. 4, 2208-2230 (2013). Reviewer: Gerhard-Wilhelm Weber (Ankara) MSC: 90C34 90C25 41A29 90C46 PDFBibTeX XMLCite \textit{C. Li} et al., SIAM J. Optim. 23, No. 4, 2208--2230 (2013; Zbl 1298.90119) Full Text: DOI
Minchenko, Leonid; Stakhovski, Sergey Parametric nonlinear programming problems under the relaxed constant rank condition. (English) Zbl 1229.90216 SIAM J. Optim. 21, No. 1, 314-332 (2011). Reviewer: Daniel Wulbert (La Jolla) MSC: 90C31 41A50 49K40 PDFBibTeX XMLCite \textit{L. Minchenko} and \textit{S. Stakhovski}, SIAM J. Optim. 21, No. 1, 314--332 (2011; Zbl 1229.90216) Full Text: DOI
Fang, D. H.; Li, C.; Ng, K. F. Constraint qualifications for extended Farkas’s lemmas and Lagrangian dualities in convex infinite programming. (English) Zbl 1206.90198 SIAM J. Optim. 20, No. 3, 1311-1332 (2009). Reviewer: Francisco Guerra Vazquez (Puebla) MSC: 90C34 90C25 52A07 41A29 90C46 PDFBibTeX XMLCite \textit{D. H. Fang} et al., SIAM J. Optim. 20, No. 3, 1311--1332 (2009; Zbl 1206.90198) Full Text: DOI
Li, Guoyin; Fu, Ng Kung On extension of Fenchel duality and its application. (English) Zbl 1190.90249 SIAM J. Optim. 19, No. 3, 1489-1509 (2008). MSC: 90C34 90C25 52A07 41A29 90C46 PDFBibTeX XMLCite \textit{G. Li} and \textit{N. K. Fu}, SIAM J. Optim. 19, No. 3, 1489--1509 (2008; Zbl 1190.90249) Full Text: DOI
Faraci, Francesca; Iannizzotto, Antonio Well posed optimization problems and nonconvex Chebyshev sets in Hilbert spaces. (English) Zbl 1161.41010 SIAM J. Optim. 19, No. 1, 211-216 (2008). Reviewer: Radu Păltănea (Braşov) MSC: 41A65 41A52 PDFBibTeX XMLCite \textit{F. Faraci} and \textit{A. Iannizzotto}, SIAM J. Optim. 19, No. 1, 211--216 (2008; Zbl 1161.41010) Full Text: DOI
Li, Chong; Ng, K. F.; Pong, T. K. Constraint qualifications for convex inequality systems with applications in constrained optimization. (English) Zbl 1170.90009 SIAM J. Optim. 19, No. 1, 163-187 (2008). Reviewer: Oliver Stein (Karlsruhe) MSC: 90C34 90C25 52A07 41A29 90C46 PDFBibTeX XMLCite \textit{C. Li} et al., SIAM J. Optim. 19, No. 1, 163--187 (2008; Zbl 1170.90009) Full Text: DOI
Bose, Christopher J.; Murray, Rua Duality and the computation of approximate invariant densities for nonsingular transformations. (English) Zbl 1151.37061 SIAM J. Optim. 18, No. 2, 691-709 (2007). Reviewer: Alexander Kachurovskij (Novosibirsk) MSC: 37M25 37A40 41A46 49K27 PDFBibTeX XMLCite \textit{C. J. Bose} and \textit{R. Murray}, SIAM J. Optim. 18, No. 2, 691--709 (2007; Zbl 1151.37061) Full Text: DOI
Li, Chong; Ng, K. F.; Pong, T. K. The SECQ, linear regularity, and the strong CHIP for an infinite system of closed convex sets in normed linear spaces. (English) Zbl 1151.90054 SIAM J. Optim. 18, No. 2, 643-665 (2007). MSC: 90C34 90C25 52A05 41A29 PDFBibTeX XMLCite \textit{C. Li} et al., SIAM J. Optim. 18, No. 2, 643--665 (2007; Zbl 1151.90054) Full Text: DOI
Li, Chong; Ng, K. F. Majorizing functions and convergence of the Gauss-Newton method for convex composite optimization. (English) Zbl 1153.90012 SIAM J. Optim. 18, No. 2, 613-642 (2007). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 90C25 90C53 47J15 65H10 41A29 PDFBibTeX XMLCite \textit{C. Li} and \textit{K. F. Ng}, SIAM J. Optim. 18, No. 2, 613--642 (2007; Zbl 1153.90012) Full Text: DOI
Li, Chong; Ng, K. F. Strong CHIP for infinite system of closed convex sets in normed linear spaces. (English) Zbl 1122.90081 SIAM J. Optim. 16, No. 2, 311-340 (2005). MSC: 90C34 90C25 52A05 41A29 PDFBibTeX XMLCite \textit{C. Li} and \textit{K. F. Ng}, SIAM J. Optim. 16, No. 2, 311--340 (2005; Zbl 1122.90081) Full Text: DOI Link
Li, Chong; Ng, K. F. On constraint qualification for an infinite system of convex inequalities in a Banach space. (English) Zbl 1114.90142 SIAM J. Optim. 15, No. 2, 488-512 (2005). MSC: 90C34 90C46 41A29 PDFBibTeX XMLCite \textit{C. Li} and \textit{K. F. Ng}, SIAM J. Optim. 15, No. 2, 488--512 (2005; Zbl 1114.90142) Full Text: DOI
Kurková, Vera; Sanguineti, Marcello Error estimates for approximate optimization by the extended Ritz method. (English) Zbl 1074.49008 SIAM J. Optim. 15, No. 2, 461-487 (2005). MSC: 49M15 90C90 68T05 41A50 65K10 PDFBibTeX XMLCite \textit{V. Kurková} and \textit{M. Sanguineti}, SIAM J. Optim. 15, No. 2, 461--487 (2005; Zbl 1074.49008) Full Text: DOI
Kainen, Paul C.; Kurková, Vera; Sanguineti, Marcello Minimization of error functionals over variable-basis functions. (English) Zbl 1061.49020 SIAM J. Optim. 14, No. 3, 732-742 (2003). MSC: 49K40 41A46 41A25 PDFBibTeX XMLCite \textit{P. C. Kainen} et al., SIAM J. Optim. 14, No. 3, 732--742 (2003; Zbl 1061.49020) Full Text: DOI
Li, Chong; Ng, K. F. Constraint qualification, the strong CHIP, and best approximation with convex constraints in banach spaces. (English) Zbl 1046.90103 SIAM J. Optim. 14, No. 2, 584-607 (2003). MSC: 90C46 41A65 90C31 PDFBibTeX XMLCite \textit{C. Li} and \textit{K. F. Ng}, SIAM J. Optim. 14, No. 2, 584--607 (2003; Zbl 1046.90103) Full Text: DOI
Li, Chong; Ng, K. F. On best approximation by nonconvex sets and perturbation of nonconvex inequality systems in Hilbert spaces. (English) Zbl 1051.41018 SIAM J. Optim. 13, No. 3, 726-744 (2002). MSC: 41A65 41A29 PDFBibTeX XMLCite \textit{C. Li} and \textit{K. F. Ng}, SIAM J. Optim. 13, No. 3, 726--744 (2002; Zbl 1051.41018) Full Text: DOI
Dontchev, Asen L.; Qi, Hou-Duo; Qi, Liqun; Yin, Hongxia A Newton method for shape-preserving spline interpolation. (English) Zbl 1027.41016 SIAM J. Optim. 13, No. 2, 588-602 (2002). Reviewer: E.Deeba (Houston) MSC: 41A29 65D15 49J52 90C25 PDFBibTeX XMLCite \textit{A. L. Dontchev} et al., SIAM J. Optim. 13, No. 2, 588--602 (2002; Zbl 1027.41016) Full Text: DOI
Li, Chong; Jin, Xiao-Qing Nonlinearly constrained best approximation in Hilbert spaces: The strong CHIP and the basic constraint qualification. (English) Zbl 1012.41028 SIAM J. Optim. 13, No. 1, 228-239 (2002). Reviewer: Victor Milman (Minsk) MSC: 41A65 41A29 PDFBibTeX XMLCite \textit{C. Li} and \textit{X.-Q. Jin}, SIAM J. Optim. 13, No. 1, 228--239 (2002; Zbl 1012.41028) Full Text: DOI
Deutsch, Frank; Li, Wu; Ward, Joseph D. Best approximation from the intersection of a closed convex set and a polyhedron in Hilbert space, weak Slater conditions, and the strong conical hull intersection property. (English) Zbl 0957.41025 SIAM J. Optim. 10, No. 1, 252-268 (1999). Reviewer: Ioan Şerb (Cluj-Napoca) MSC: 41A65 41A29 90C25 PDFBibTeX XMLCite \textit{F. Deutsch} et al., SIAM J. Optim. 10, No. 1, 252--268 (1999; Zbl 0957.41025) Full Text: DOI
Li, W.; Swetits, J. J. The linear \(l_{1}\) estimator and the Huber \(M\)-estimator. (English) Zbl 0914.90267 SIAM J. Optim. 8, No. 2, 457-475 (1998). MSC: 90C90 62G35 41A45 41A52 90C31 PDFBibTeX XMLCite \textit{W. Li} and \textit{J. J. Swetits}, SIAM J. Optim. 8, No. 2, 457--475 (1998; Zbl 0914.90267) Full Text: DOI
Liu, Ming-Hong; Ubhaya, Vasant A. Integer isotone optimization. (English) Zbl 0897.41013 SIAM J. Optim. 7, No. 4, 1152-1159 (1997). MSC: 41A30 90C10 26A48 PDFBibTeX XMLCite \textit{M.-H. Liu} and \textit{V. A. Ubhaya}, SIAM J. Optim. 7, No. 4, 1152--1159 (1997; Zbl 0897.41013) Full Text: DOI
Shapiro, Alexander Existence and differentiability of metric projections in Hilbert spaces. (English) Zbl 0793.41021 SIAM J. Optim. 4, No. 1, 130-141 (1994). MSC: 41A50 41A65 46C99 52A30 52A40 PDFBibTeX XMLCite \textit{A. Shapiro}, SIAM J. Optim. 4, No. 1, 130--141 (1994; Zbl 0793.41021) Full Text: DOI
Li, Wu; Swetits, John A Newton method for convex regression, data smoothing, and quadratic programming with bounded constraints. (English) Zbl 0793.90048 SIAM J. Optim. 3, No. 3, 466-488 (1993). MSC: 90C20 90C33 49M15 90C90 90C31 41A29 15A12 62F30 90C25 PDFBibTeX XMLCite \textit{W. Li} and \textit{J. Swetits}, SIAM J. Optim. 3, No. 3, 466--488 (1993; Zbl 0793.90048) Full Text: DOI
Thakur, Lakshman S. Uniformly extremal solutions in Sobolev function spaces for the quadratic case: Characterization and applications. (English) Zbl 0781.65003 SIAM J. Optim. 3, No. 2, 236-247 (1993). Reviewer: J.F.Bonnans (Le Chesnay) MSC: 65D07 41A15 46E35 PDFBibTeX XMLCite \textit{L. S. Thakur}, SIAM J. Optim. 3, No. 2, 236--247 (1993; Zbl 0781.65003) Full Text: DOI
Conn, Andrew R.; Li, Yuying A structure-exploiting algorithm for nonlinear minimax problems. (English) Zbl 0755.41030 SIAM J. Optim. 2, No. 2, 242-263 (1992). Reviewer: P.Narain (Bombay) MSC: 41A50 65D99 65F20 65K05 PDFBibTeX XMLCite \textit{A. R. Conn} and \textit{Y. Li}, SIAM J. Optim. 2, No. 2, 242--263 (1992; Zbl 0755.41030) Full Text: DOI
Borwein, J. M.; Lewis, A. S. Convergence of best entropy estimates. (English) Zbl 0756.41037 SIAM J. Optim. 1, No. 2, 191-205 (1991). Reviewer: P.Achuthan (Madras) MSC: 41A99 41A46 05C38 PDFBibTeX XMLCite \textit{J. M. Borwein} and \textit{A. S. Lewis}, SIAM J. Optim. 1, No. 2, 191--205 (1991; Zbl 0756.41037) Full Text: DOI