Li, Xudong; Sun, Defeng; Toh, Kim-Chuan An asymptotically superlinearly convergent semismooth Newton augmented Lagrangian method for linear programming. (English) Zbl 1450.90007 SIAM J. Optim. 30, No. 3, 2410-2440 (2020). MSC: 90C05 90C06 90C25 65F10 PDF BibTeX XML Cite \textit{X. Li} et al., SIAM J. Optim. 30, No. 3, 2410--2440 (2020; Zbl 1450.90007) Full Text: DOI
Zhang, Yangjing; Zhang, Ning; Sun, Defeng; Toh, Kim-Chuan A proximal point dual Newton algorithm for solving group graphical Lasso problems. (English) Zbl 1448.90096 SIAM J. Optim. 30, No. 3, 2197-2220 (2020). MSC: 90C35 62J10 PDF BibTeX XML Cite \textit{Y. Zhang} et al., SIAM J. Optim. 30, No. 3, 2197--2220 (2020; Zbl 1448.90096) Full Text: DOI
Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan Doubly nonnegative relaxations are equivalent to completely positive reformulations of quadratic optimization problems with block-clique graph structures. (English) Zbl 1444.90090 J. Glob. Optim. 77, No. 3, 513-541 (2020). MSC: 90C20 90C26 PDF BibTeX XML Cite \textit{S. Kim} et al., J. Glob. Optim. 77, No. 3, 513--541 (2020; Zbl 1444.90090) Full Text: DOI
Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan A geometrical analysis on convex conic reformulations of quadratic and polynomial optimization problems. (English) Zbl 07202484 SIAM J. Optim. 30, No. 2, 1251-1273 (2020). MSC: 90C20 90C23 90C25 90C26 PDF BibTeX XML Cite \textit{S. Kim} et al., SIAM J. Optim. 30, No. 2, 1251--1273 (2020; Zbl 07202484) Full Text: DOI
Ding, Chao; Sun, Defeng; Sun, Jie; Toh, Kim-Chuan Spectral operators of matrices: semismoothness and characterizations of the generalized Jacobian. (English) Zbl 1434.49007 SIAM J. Optim. 30, No. 1, 630-659 (2020). MSC: 49J52 65K05 90C25 49J50 90C06 90C30 PDF BibTeX XML Cite \textit{C. Ding} et al., SIAM J. Optim. 30, No. 1, 630--659 (2020; Zbl 1434.49007) Full Text: DOI
Li, Xudong; Sun, Defeng; Toh, Kim-Chuan On the efficient computation of a generalized Jacobian of the projector over the Birkhoff polytope. (English) Zbl 1434.90116 Math. Program. 179, No. 1-2 (A), 419-446 (2020). MSC: 90C20 49J52 49M15 65F10 90C06 90C25 PDF BibTeX XML Cite \textit{X. Li} et al., Math. Program. 179, No. 1--2 (A), 419--446 (2020; Zbl 1434.90116) Full Text: DOI arXiv
Zhang, Yangjing; Zhang, Ning; Sun, Defeng; Toh, Kim-Chuan An efficient Hessian based algorithm for solving large-scale sparse group Lasso problems. (English) Zbl 1435.90112 Math. Program. 179, No. 1-2 (A), 223-263 (2020). MSC: 90C25 90C06 62J05 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Math. Program. 179, No. 1--2 (A), 223--263 (2020; Zbl 1435.90112) Full Text: DOI arXiv
Sun, Defeng; Toh, Kim-Chuan; Yuan, Yancheng; Zhao, Xin-Yuan SDPNAL+: A Matlab software for semidefinite programming with bound constraints (version 1.0). (English) Zbl 1432.90104 Optim. Methods Softw. 35, No. 1, 87-115 (2020). MSC: 90C22 PDF BibTeX XML Cite \textit{D. Sun} et al., Optim. Methods Softw. 35, No. 1, 87--115 (2020; Zbl 1432.90104) Full Text: DOI arXiv
Chen, Liang; Sun, Defeng; Toh, Kim Chuan; Zhang, Ning A unified algorithmic framework of symmetric Gauss-Seidel decomposition based proximal ADMMs for convex composite programming. (English) Zbl 07266711 J. Comput. Math. 37, No. 6, 739-757 (2019). MSC: 90C25 65K05 PDF BibTeX XML Cite \textit{L. Chen} et al., J. Comput. Math. 37, No. 6, 739--757 (2019; Zbl 07266711) Full Text: DOI
Hu, Shenglong; Sun, Defeng; Toh, Kim-Chuan Best nonnegative rank-one approximations of tensors. (English) Zbl 07141462 SIAM J. Matrix Anal. Appl. 40, No. 4, 1527-1554 (2019). MSC: 90C23 15A18 15A42 15A69 90C22 PDF BibTeX XML Cite \textit{S. Hu} et al., SIAM J. Matrix Anal. Appl. 40, No. 4, 1527--1554 (2019; Zbl 07141462) Full Text: DOI arXiv
Cui, Ying; Sun, Defeng; Toh, Kim-Chuan Computing the best approximation over the intersection of a polyhedral set and the doubly nonnegative cone. (English) Zbl 1431.90109 SIAM J. Optim. 29, No. 4, 2785-2813 (2019). MSC: 90C22 90C25 90C06 PDF BibTeX XML Cite \textit{Y. Cui} et al., SIAM J. Optim. 29, No. 4, 2785--2813 (2019; Zbl 1431.90109) Full Text: DOI arXiv
Cui, Ying; Sun, Defeng; Toh, Kim-Chuan On the R-superlinear convergence of the KKT residuals generated by the augmented Lagrangian method for convex composite conic programming. (English) Zbl 1423.90171 Math. Program. 178, No. 1-2 (A), 381-415 (2019). MSC: 90C22 90C25 90C31 65K05 PDF BibTeX XML Cite \textit{Y. Cui} et al., Math. Program. 178, No. 1--2 (A), 381--415 (2019; Zbl 1423.90171) Full Text: DOI
Lin, Meixia; Liu, Yong-Jin; Sun, Defeng; Toh, Kim-Chuan Efficient sparse semismooth Newton methods for the clustered Lasso problem. (English) Zbl 1427.90200 SIAM J. Optim. 29, No. 3, 2026-2052 (2019). MSC: 90C06 90C25 90C90 PDF BibTeX XML Cite \textit{M. Lin} et al., SIAM J. Optim. 29, No. 3, 2026--2052 (2019; Zbl 1427.90200) Full Text: DOI arXiv
Li, Xudong; Sun, Defeng; Toh, Kim-Chuan A block symmetric Gauss-Seidel decomposition theorem for convex composite quadratic programming and its applications. (English) Zbl 1412.90086 Math. Program. 175, No. 1-2 (A), 395-418 (2019). MSC: 90C06 90C20 90C25 65F10 PDF BibTeX XML Cite \textit{X. Li} et al., Math. Program. 175, No. 1--2 (A), 395--418 (2019; Zbl 1412.90086) Full Text: DOI arXiv
Li, Xudong; Sun, Defeng; Toh, Kim-Chuan QSDPNAL: a two-phase augmented Lagrangian method for convex quadratic semidefinite programming. (English) Zbl 1411.90213 Math. Program. Comput. 10, No. 4, 703-743 (2018). MSC: 90C06 90C20 90C22 90C25 65F10 PDF BibTeX XML Cite \textit{X. Li} et al., Math. Program. Comput. 10, No. 4, 703--743 (2018; Zbl 1411.90213) Full Text: DOI arXiv
Li, Xudong; Sun, Defeng; Toh, Kim-Chuan On efficiently solving the subproblems of a level-set method for fused lasso problems. (English) Zbl 1401.90145 SIAM J. Optim. 28, No. 2, 1842-1866 (2018). MSC: 90C20 90C22 90C06 90C25 PDF BibTeX XML Cite \textit{X. Li} et al., SIAM J. Optim. 28, No. 2, 1842--1866 (2018; Zbl 1401.90145) Full Text: DOI arXiv
Weisser, Tillmann; Lasserre, Jean B.; Toh, Kim-Chuan Sparse-BSOS: a bounded degree SOS hierarchy for large scale polynomial optimization with sparsity. (English) Zbl 1402.90136 Math. Program. Comput. 10, No. 1, 1-32 (2018). MSC: 90C26 90C22 PDF BibTeX XML Cite \textit{T. Weisser} et al., Math. Program. Comput. 10, No. 1, 1--32 (2018; Zbl 1402.90136) Full Text: DOI
Ding, Chao; Sun, Defeng; Sun, Jie; Toh, Kim-Chuan Spectral operators of matrices. (English) Zbl 1411.90264 Math. Program. 168, No. 1-2 (B), 509-531 (2018). Reviewer: Do Van Luu (Hanoi) MSC: 90C25 90C06 65K05 49J50 49J52 PDF BibTeX XML Cite \textit{C. Ding} et al., Math. Program. 168, No. 1--2 (B), 509--531 (2018; Zbl 1411.90264) Full Text: DOI arXiv
Natarajan, Karthik; Shi, Dongjian; Toh, Kim-Chuan Bounds for random binary quadratic programs. (English) Zbl 1396.90046 SIAM J. Optim. 28, No. 1, 671-692 (2018). MSC: 90C09 90C22 PDF BibTeX XML Cite \textit{K. Natarajan} et al., SIAM J. Optim. 28, No. 1, 671--692 (2018; Zbl 1396.90046) Full Text: DOI
Li, Xudong; Sun, Defeng; Toh, Kim-Chuan A highly efficient semismooth Newton augmented Lagrangian method for solving lasso problems. (English) Zbl 1392.65062 SIAM J. Optim. 28, No. 1, 433-458 (2018). MSC: 65F10 90C06 90C25 90C31 PDF BibTeX XML Cite \textit{X. Li} et al., SIAM J. Optim. 28, No. 1, 433--458 (2018; Zbl 1392.65062) Full Text: DOI arXiv
Fang, Ethan X.; Liu, Han; Toh, Kim-Chuan; Zhou, Wen-Xin Max-norm optimization for robust matrix recovery. (English) Zbl 1414.90265 Math. Program. 167, No. 1 (B), 5-35 (2018). Reviewer: Nicolae Popovici (Cluj-Napoca) MSC: 90C25 90C29 15A60 PDF BibTeX XML Cite \textit{E. X. Fang} et al., Math. Program. 167, No. 1 (B), 5--35 (2018; Zbl 1414.90265) Full Text: DOI arXiv
Ito, Naoki; Takeda, Akiko; Toh, Kim-Chuan A unified formulation and fast accelerated proximal gradient method for classification. (English) Zbl 1433.68351 J. Mach. Learn. Res. 18(2017-2018), Paper No. 16, 49 p. (2017). MSC: 68T05 62H30 90C90 PDF BibTeX XML Cite \textit{N. Ito} et al., J. Mach. Learn. Res. 18, Paper No. 16, 49 p. (2017; Zbl 1433.68351) Full Text: Link
Lasserre, Jean B.; Toh, Kim-Chuan; Yang, Shouguang A bounded degree SOS hierarchy for polynomial optimization. (English) Zbl 1368.90132 EURO J. Comput. Optim. 5, No. 1-2, 87-117 (2017). MSC: 90C26 90C22 PDF BibTeX XML Cite \textit{J. B. Lasserre} et al., EURO J. Comput. Optim. 5, No. 1--2, 87--117 (2017; Zbl 1368.90132) Full Text: DOI arXiv
Arima, Naohiko; Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan A robust Lagrangian-DNN method for a class of quadratic optimization problems. (English) Zbl 1366.90152 Comput. Optim. Appl. 66, No. 3, 453-479 (2017). MSC: 90C20 90C25 90C26 PDF BibTeX XML Cite \textit{N. Arima} et al., Comput. Optim. Appl. 66, No. 3, 453--479 (2017; Zbl 1366.90152) Full Text: DOI
Chen, Liang; Sun, Defeng; Toh, Kim-Chuan A note on the convergence of ADMM for linearly constrained convex optimization problems. (English) Zbl 1367.90083 Comput. Optim. Appl. 66, No. 2, 327-343 (2017). MSC: 90C25 90C46 65K05 PDF BibTeX XML Cite \textit{L. Chen} et al., Comput. Optim. Appl. 66, No. 2, 327--343 (2017; Zbl 1367.90083) Full Text: DOI arXiv
Chen, Liang; Sun, Defeng; Toh, Kim-Chuan An efficient inexact symmetric Gauss-Seidel based majorized ADMM for high-dimensional convex composite conic programming. (English) Zbl 1356.90105 Math. Program. 161, No. 1-2 (A), 237-270 (2017). MSC: 90C25 90C22 90C06 65K05 PDF BibTeX XML Cite \textit{L. Chen} et al., Math. Program. 161, No. 1--2 (A), 237--270 (2017; Zbl 1356.90105) Full Text: DOI arXiv
Cui, Ying; Li, Xudong; Sun, Defeng; Toh, Kim-Chuan On the convergence properties of a majorized alternating direction method of multipliers for linearly constrained convex optimization problems with coupled objective functions. (English) Zbl 1342.90130 J. Optim. Theory Appl. 169, No. 3, 1013-1041 (2016). MSC: 90C25 68Q25 65K05 PDF BibTeX XML Cite \textit{Y. Cui} et al., J. Optim. Theory Appl. 169, No. 3, 1013--1041 (2016; Zbl 1342.90130) Full Text: DOI
Sun, Defeng; Toh, Kim-Chuan; Yang, Liuqin An efficient inexact ABCD method for least squares semidefinite programming. (English) Zbl 1346.90658 SIAM J. Optim. 26, No. 2, 1072-1100 (2016). MSC: 90C22 90C06 90C25 65F10 PDF BibTeX XML Cite \textit{D. Sun} et al., SIAM J. Optim. 26, No. 2, 1072--1100 (2016; Zbl 1346.90658) Full Text: DOI arXiv
Li, Min; Sun, Defeng; Toh, Kim-Chuan A majorized ADMM with indefinite proximal terms for linearly constrained convex composite optimization. (English) Zbl 1338.90305 SIAM J. Optim. 26, No. 2, 922-950 (2016). MSC: 90C25 90C33 65K05 PDF BibTeX XML Cite \textit{M. Li} et al., SIAM J. Optim. 26, No. 2, 922--950 (2016; Zbl 1338.90305) Full Text: DOI arXiv
Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan A Lagrangian-DNN relaxation: a fast method for computing tight lower bounds for a class of quadratic optimization problems. (English) Zbl 1342.90123 Math. Program. 156, No. 1-2 (A), 161-187 (2016). MSC: 90C20 90C25 90C26 PDF BibTeX XML Cite \textit{S. Kim} et al., Math. Program. 156, No. 1--2 (A), 161--187 (2016; Zbl 1342.90123) Full Text: DOI
Chen, Caihua; Liu, Yong-Jin; Sun, Defeng; Toh, Kim-Chuan A semismooth Newton-CG based dual PPA for matrix spectral norm approximation problems. (English) Zbl 1342.90100 Math. Program. 155, No. 1-2 (A), 435-470 (2016). Reviewer: Rembert Reemtsen (Cottbus) MSC: 90C06 90C25 65F99 PDF BibTeX XML Cite \textit{C. Chen} et al., Math. Program. 155, No. 1--2 (A), 435--470 (2016; Zbl 1342.90100) Full Text: DOI
Li, Xudong; Sun, Defeng; Toh, Kim-Chuan A Schur complement based semi-proximal ADMM for convex quadratic conic programming and extensions. (English) Zbl 1342.90134 Math. Program. 155, No. 1-2 (A), 333-373 (2016). Reviewer: Rembert Reemtsen (Cottbus) MSC: 90C25 90C22 90C20 90C06 65F10 PDF BibTeX XML Cite \textit{X. Li} et al., Math. Program. 155, No. 1--2 (A), 333--373 (2016; Zbl 1342.90134) Full Text: DOI arXiv
Li, Min; Sun, Defeng; Toh, Kim-Chuan A convergent 3-block semi-proximal ADMM for convex minimization problems with one strongly convex block. (English) Zbl 1327.90214 Asia-Pac. J. Oper. Res. 32, No. 4, Article ID 1550024, 19 p. (2015). MSC: 90C25 90C33 65K05 PDF BibTeX XML Cite \textit{M. Li} et al., Asia-Pac. J. Oper. Res. 32, No. 4, Article ID 1550024, 19 p. (2015; Zbl 1327.90214) Full Text: DOI arXiv
Yang, Liuqin; Sun, Defeng; Toh, Kim-Chuan SDPNAL+: a majorized semismooth Newton-CG augmented Lagrangian method for semidefinite programming with nonnegative constraints. (English) Zbl 1321.90085 Math. Program. Comput. 7, No. 3, 331-366 (2015). MSC: 90C06 90C22 90C25 65F10 PDF BibTeX XML Cite \textit{L. Yang} et al., Math. Program. Comput. 7, No. 3, 331--366 (2015; Zbl 1321.90085) Full Text: DOI arXiv
Sun, Defeng; Toh, Kim-Chuan; Yang, Liuqin A convergent 3-block semiproximal alternating direction method of multipliers for conic programming with 4-type constraints. (English) Zbl 1328.90083 SIAM J. Optim. 25, No. 2, 882-915 (2015). MSC: 90C06 90C22 90C25 65F10 PDF BibTeX XML Cite \textit{D. Sun} et al., SIAM J. Optim. 25, No. 2, 882--915 (2015; Zbl 1328.90083) Full Text: DOI arXiv
Peng, Jiming; Zhu, Tao; Luo, Hezhi; Toh, Kim-Chuan Semi-definite programming relaxation of quadratic assignment problems based on nonredundant matrix splitting. (English) Zbl 1338.90295 Comput. Optim. Appl. 60, No. 1, 171-198 (2015). MSC: 90C22 90B80 PDF BibTeX XML Cite \textit{J. Peng} et al., Comput. Optim. Appl. 60, No. 1, 171--198 (2015; Zbl 1338.90295) Full Text: DOI
Jiang, Kaifeng; Sun, Defeng; Toh, Kim-Chuan A partial proximal point algorithm for nuclear norm regularized matrix least squares problems. (English) Zbl 1327.90109 Math. Program. Comput. 6, No. 3, 281-325 (2014). MSC: 90C06 90C22 90C25 65F10 PDF BibTeX XML Cite \textit{K. Jiang} et al., Math. Program. Comput. 6, No. 3, 281--325 (2014; Zbl 1327.90109) Full Text: DOI
Gong, Zheng; Shen, Zuowei; Toh, Kim-Chuan Image restoration with mixed or unknown noises. (English) Zbl 1380.94021 Multiscale Model. Simul. 12, No. 2, 458-487 (2014). MSC: 94A08 90C25 PDF BibTeX XML Cite \textit{Z. Gong} et al., Multiscale Model. Simul. 12, No. 2, 458--487 (2014; Zbl 1380.94021) Full Text: DOI
Wu, Bin; Ding, Chao; Sun, Defeng; Toh, Kim-Chuan On the Moreau-Yosida regularization of the vector \(k\)-norm related functions. (English) Zbl 1297.90122 SIAM J. Optim. 24, No. 2, 766-794 (2014). MSC: 90C25 90C30 65K05 49J52 PDF BibTeX XML Cite \textit{B. Wu} et al., SIAM J. Optim. 24, No. 2, 766--794 (2014; Zbl 1297.90122) Full Text: DOI
Natarajan, Karthik; Shi, Dongjian; Toh, Kim-Chuan A probabilistic model for minmax regret in combinatorial optimization. (English) Zbl 1291.90208 Oper. Res. 62, No. 1, 160-181 (2014). MSC: 90C27 90C15 90C11 PDF BibTeX XML Cite \textit{K. Natarajan} et al., Oper. Res. 62, No. 1, 160--181 (2014; Zbl 1291.90208) Full Text: DOI
Ding, Chao; Sun, Defeng; Toh, Kim-Chuan An introduction to a class of matrix cone programming. (English) Zbl 1301.65043 Math. Program. 144, No. 1-2 (A), 141-179 (2014). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 90C25 90C30 90C22 90C06 PDF BibTeX XML Cite \textit{C. Ding} et al., Math. Program. 144, No. 1--2 (A), 141--179 (2014; Zbl 1301.65043) Full Text: DOI
Yang, Junfeng; Sun, Defeng; Toh, Kim-Chuan A proximal point algorithm for log-determinant optimization with group Lasso regularization. (English) Zbl 1285.65037 SIAM J. Optim. 23, No. 2, 857-893 (2013). Reviewer: Andrea Walther (Paderborn) MSC: 65K05 90C15 90C53 PDF BibTeX XML Cite \textit{J. Yang} et al., SIAM J. Optim. 23, No. 2, 857--893 (2013; Zbl 1285.65037) Full Text: DOI
Jiang, Kaifeng; Sun, Defeng; Toh, Kim-Chuan Solving nuclear norm regularized and semidefinite matrix least squares problems with linear equality constraints. (English) Zbl 1297.90085 Bezdek, Károly (ed.) et al., Discrete geometry and optimization. Selected papers based on the presentations at the conference and workshop, Toronto, Canada, September 19–23, 2011. New York, NY: Springer (ISBN 978-3-319-00199-9/hbk; 978-3-319-00200-2/ebook). Fields Institute Communications 69, 133-162 (2013). MSC: 90C06 90C22 90C25 65F10 PDF BibTeX XML Cite \textit{K. Jiang} et al., Fields Inst. Commun. 69, 133--162 (2013; Zbl 1297.90085) Full Text: DOI
Fang, Xingyuan; Toh, Kim-Chuan Using a distributed SDP approach to solve simulated protein molecular conformation problems. (English) Zbl 1271.68233 Mucherino, Antonio (ed.) et al., Distance geometry. Theory, methods, and applications. New York, NY: Springer (ISBN 978-1-4614-5127-3/hbk; 978-1-4614-5128-0/ebook). 351-376 (2013). MSC: 68U05 92D20 90C22 PDF BibTeX XML Cite \textit{X. Fang} and \textit{K.-C. Toh}, in: Distance geometry. Theory, methods, and applications. New York, NY: Springer. 351--376 (2013; Zbl 1271.68233) Full Text: DOI
Doan, Xuan Vinh; Toh, Kim-Chuan; Vavasis, Stephen A proximal point algorithm for sequential feature extraction applications. (English) Zbl 1277.65044 SIAM J. Sci. Comput. 35, No. 1, A517-A540 (2013). Reviewer: Andrea Walther (Paderborn) MSC: 65K05 90C25 65D18 PDF BibTeX XML Cite \textit{X. V. Doan} et al., SIAM J. Sci. Comput. 35, No. 1, A517--A540 (2013; Zbl 1277.65044) Full Text: DOI arXiv
Zhao, Xin-Yuan; Toh, Kim-Chuan Infeasible potential reduction algorithms for semidefinite programming. (English) Zbl 1284.90048 Pac. J. Optim. 8, No. 4, 725-753 (2012). MSC: 90C22 90C25 90C51 65F10 PDF BibTeX XML Cite \textit{X.-Y. Zhao} and \textit{K.-C. Toh}, Pac. J. Optim. 8, No. 4, 725--753 (2012; Zbl 1284.90048) Full Text: Link
Jiang, Kaifeng; Sun, Defeng; Toh, Kim-Chuan An inexact accelerated proximal gradient method for large scale linearly constrained convex SDP. (English) Zbl 1401.90120 SIAM J. Optim. 22, No. 3, 1042-1064 (2012). MSC: 90C06 90C22 90C25 65F10 PDF BibTeX XML Cite \textit{K. Jiang} et al., SIAM J. Optim. 22, No. 3, 1042--1064 (2012; Zbl 1401.90120) Full Text: DOI
Liu, Yong-Jin; Sun, Defeng; Toh, Kim-Chuan An implementable proximal point algorithmic framework for nuclear norm minimization. (English) Zbl 1262.90125 Math. Program. 133, No. 1-2 (A), 399-436 (2012). Reviewer: Jean-Jacques Strodiot (Namur) MSC: 90C22 46N10 65K05 90C25 PDF BibTeX XML Cite \textit{Y.-J. Liu} et al., Math. Program. 133, No. 1--2 (A), 399--436 (2012; Zbl 1262.90125) Full Text: DOI
Yun, Sangwoon; Tseng, Paul; Toh, Kim-Chuan A block coordinate gradient descent method for regularized convex separable optimization and covariance selection. (English) Zbl 1228.90052 Math. Program. 129, No. 2 (B), 331-355 (2011). MSC: 90C06 90C25 90C30 90C55 49M27 49M37 65K05 PDF BibTeX XML Cite \textit{S. Yun} et al., Math. Program. 129, No. 2 (B), 331--355 (2011; Zbl 1228.90052) Full Text: DOI
Shen, Zuowei; Toh, Kim-Chuan; Yun, Sangwoon An accelerated proximal gradient algorithm for frame-based image restoration via the balanced approach. (English) Zbl 1219.94012 SIAM J. Imaging Sci. 4, No. 2, 573-596 (2011). MSC: 94A08 65T60 90C06 90C25 PDF BibTeX XML Cite \textit{Z. Shen} et al., SIAM J. Imaging Sci. 4, No. 2, 573--596 (2011; Zbl 1219.94012) Full Text: DOI
Yun, Sangwoon; Toh, Kim-Chuan A coordinate gradient descent method for \(\ell_{1}\)-regularized convex minimization. (English) Zbl 1220.90092 Comput. Optim. Appl. 48, No. 2, 273-307 (2011). MSC: 90C25 90C52 PDF BibTeX XML Cite \textit{S. Yun} and \textit{K.-C. Toh}, Comput. Optim. Appl. 48, No. 2, 273--307 (2011; Zbl 1220.90092) Full Text: DOI
Li, Lu; Toh, Kim-Chuan A polynomial-time inexact primal-dual infeasible path-following algorithm for convex quadratic SDP. (English) Zbl 1247.90211 Pac. J. Optim. 7, No. 1, 43-61 (2011). Reviewer: Paulo Mbunga (Kiel) MSC: 90C22 90C25 90C51 65F10 PDF BibTeX XML Cite \textit{L. Li} and \textit{K.-C. Toh}, Pac. J. Optim. 7, No. 1, 43--61 (2011; Zbl 1247.90211) Full Text: Link
Wang, Chengjing; Sun, Defeng; Toh, Kim-Chuan Solving log-determinant optimization problems by a Newton-CG primal proximal point algorithm. (English) Zbl 1211.90130 SIAM J. Optim. 20, No. 6, 2994-3013 (2010). MSC: 90C06 90C22 90C25 65F10 PDF BibTeX XML Cite \textit{C. Wang} et al., SIAM J. Optim. 20, No. 6, 2994--3013 (2010; Zbl 1211.90130) Full Text: DOI
Li, Lu; Toh, Kim-Chuan An inexact interior point method for \(L_{1}\)-regularized sparse covariance selection. (English) Zbl 1208.90131 Math. Program. Comput. 2, No. 3-4, 291-315 (2010). MSC: 90C22 90C51 90C06 90C25 65F10 PDF BibTeX XML Cite \textit{L. Li} and \textit{K.-C. Toh}, Math. Program. Comput. 2, No. 3--4, 291--315 (2010; Zbl 1208.90131) Full Text: DOI
Li, Lu; Toh, Kim-Chuan A polynomial-time inexact interior-point method for convex quadratic symmetric cone programming. (English) Zbl 1279.90126 J. Math-for-Ind. 2, No. B, 199-212 (2010). MSC: 90C20 90C51 PDF BibTeX XML Cite \textit{L. Li} and \textit{K.-C. Toh}, J. Math-for-Ind. 2, No. B, 199--212 (2010; Zbl 1279.90126) Full Text: Link
Zhao, Xin-Yuan; Sun, Defeng; Toh, Kim-Chuan A Newton-CG augmented Lagrangian method for semidefinite programming. (English) Zbl 1213.90175 SIAM J. Optim. 20, No. 4, 1737-1765 (2010). Reviewer: Rembert Reemtsen (Cottbus) MSC: 90C06 90C22 90C25 65F10 PDF BibTeX XML Cite \textit{X.-Y. Zhao} et al., SIAM J. Optim. 20, No. 4, 1737--1765 (2010; Zbl 1213.90175) Full Text: DOI
Toh, Kim-Chuan; Yun, Sangwoon An accelerated proximal gradient algorithm for nuclear norm regularized linear least squares problems. (English) Zbl 1205.90218 Pac. J. Optim. 6, No. 3, 615-640 (2010). MSC: 90C22 90C25 90C51 65F10 PDF BibTeX XML Cite \textit{K.-C. Toh} and \textit{S. Yun}, Pac. J. Optim. 6, No. 3, 615--640 (2010; Zbl 1205.90218) Full Text: Link
Liu, Xinwei; Toh, Kim-Chuan; Zhao, Gongyun On the implementation of a log-barrier progressive hedging method for multistage stochastic programs. (English) Zbl 1189.65127 J. Comput. Appl. Math. 234, No. 2, 579-592 (2010). MSC: 65K05 90C15 PDF BibTeX XML Cite \textit{X. Liu} et al., J. Comput. Appl. Math. 234, No. 2, 579--592 (2010; Zbl 1189.65127) Full Text: DOI
Leung, Ngai-Hang Z.; Toh, Kim-Chuan An SDP-based divide-and-conquer algorithm for large-scale noisy anchor-free graph realization. (English) Zbl 1203.93157 SIAM J. Sci. Comput. 31, No. 6, 4351-4372 (2009). MSC: 93C95 90C06 90C22 92E10 92-08 94C15 PDF BibTeX XML Cite \textit{N.-H. Z. Leung} and \textit{K.-C. Toh}, SIAM J. Sci. Comput. 31, No. 6, 4351--4372 (2009; Zbl 1203.93157) Full Text: DOI
Biswas, Pratik; Toh, Kim-Chuan; Ye, Yinyu A distributed SDP approach for large-scale noisy anchor-free graph realization with applications to molecular conformation. (English) Zbl 1161.49028 SIAM J. Sci. Comput. 30, No. 3, 1251-1277 (2008). MSC: 49M27 90C06 90C22 90C26 92E10 92-08 PDF BibTeX XML Cite \textit{P. Biswas} et al., SIAM J. Sci. Comput. 30, No. 3, 1251--1277 (2008; Zbl 1161.49028) Full Text: DOI
Toh, Kim-Chuan An inexact primal-dual path following algorithm for convex quadratic SDP. (English) Zbl 1136.90027 Math. Program. 112, No. 1 (B), 221-254 (2008). Reviewer: Didier Henrion (Toulouse) MSC: 90C22 90C51 65K10 PDF BibTeX XML Cite \textit{K.-C. Toh}, Math. Program. 112, No. 1 (B), 221--254 (2008; Zbl 1136.90027) Full Text: DOI
Chai, Joo-Siong; Toh, Kim-Chuan Preconditioning and iterative solution of symmetric indefinite linear systems arising from interior point methods for linear programming. (English) Zbl 1148.90352 Comput. Optim. Appl. 36, No. 2-3, 221-247 (2007). MSC: 90C51 90C05 PDF BibTeX XML Cite \textit{J.-S. Chai} and \textit{K.-C. Toh}, Comput. Optim. Appl. 36, No. 2--3, 221--247 (2007; Zbl 1148.90352) Full Text: DOI
Freund, Robert M.; Ordóñez, Fernando; Toh, Kim-Chuan Behavioral measures and their correlation with IPM iteration counts on semi-definite programming problems. (English) Zbl 1278.90447 Math. Program. 109, No. 2-3 (B), 445-475 (2007). MSC: 90C51 90C22 PDF BibTeX XML Cite \textit{R. M. Freund} et al., Math. Program. 109, No. 2--3 (B), 445--475 (2007; Zbl 1278.90447) Full Text: DOI
Cai, Zhi; Toh, Kim-Chuan Solving second order cone programming via a reduced augmented system approach. (English) Zbl 1128.90045 SIAM J. Optim. 17, No. 3, 711-737 (2006). MSC: 90C20 90C22 90C51 65K05 PDF BibTeX XML Cite \textit{Z. Cai} and \textit{K.-C. Toh}, SIAM J. Optim. 17, No. 3, 711--737 (2006; Zbl 1128.90045) Full Text: DOI
Chai, Joo-Siong; Toh, Kim-Chuan Computation of condition numbers for linear programming problems using Peña’s method. (English) Zbl 1136.90540 Optim. Methods Softw. 21, No. 3, 419-443 (2006). MSC: 90C90 90C51 PDF BibTeX XML Cite \textit{J.-S. Chai} and \textit{K.-C. Toh}, Optim. Methods Softw. 21, No. 3, 419--443 (2006; Zbl 1136.90540) Full Text: DOI
Zhou, Guanglu; Toh, Kim-Chuan; Sun, Jie Efficient algorithms for the smallest enclosing ball problem. (English) Zbl 1112.90060 Comput. Optim. Appl. 30, No. 2, 147-160 (2005). MSC: 90C25 65D18 PDF BibTeX XML Cite \textit{G. Zhou} et al., Comput. Optim. Appl. 30, No. 2, 147--160 (2005; Zbl 1112.90060) Full Text: DOI
Zhou, Guanglu; Toh, Kim-Chuan Polynomiality of an inexact infeasible interior point algorithm for semidefinite programming. (English) Zbl 1098.90051 Math. Program. 99, No. 2 (A), 261-282 (2004). MSC: 90C22 90C51 PDF BibTeX XML Cite \textit{G. Zhou} and \textit{K.-C. Toh}, Math. Program. 99, No. 2 (A), 261--282 (2004; Zbl 1098.90051) Full Text: DOI
Zhou, Guanglu; Toh, Kim-Chuan; Zhao, Gongyun Convergence analysis of an infeasible interior point algorithm based on a regularized central path for linear complementarity problems. (English) Zbl 1046.90045 Comput. Optim. Appl. 27, No. 3, 269-283 (2004). MSC: 90C05 90C51 90C33 PDF BibTeX XML Cite \textit{G. Zhou} et al., Comput. Optim. Appl. 27, No. 3, 269--283 (2004; Zbl 1046.90045) Full Text: DOI
Toh, Kim-Chuan Solving large scale semidefinite programs via an iterative solver on the augmented systems. (English) Zbl 1071.90026 SIAM J. Optim. 14, No. 3, 670-698 (2003). MSC: 90C06 90C22 90C51 65K05 PDF BibTeX XML Cite \textit{K.-C. Toh}, SIAM J. Optim. 14, No. 3, 670--698 (2003; Zbl 1071.90026) Full Text: DOI
Zhou, Guanglu; Sun, Jie; Toh, Kim-Chuan Efficient algorithms for the smallest enclosing ball problem in high dimensional space. (English) Zbl 1048.90155 Pardalos, Panos (ed.) et al., Novel approaches to hard discrete optimization. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3248-4/hbk). Fields Inst. Commun. 37, 173-181 (2003). MSC: 90C30 90C33 65H10 PDF BibTeX XML Cite \textit{G. Zhou} et al., Fields Inst. Commun. 37, 173--181 (2003; Zbl 1048.90155)
Sun, Jie; Toh, Kim-Chuan; Zhao, Gongyun An analytic center cutting plane method for semidefinite feasibility problems. (English) Zbl 1082.90555 Math. Oper. Res. 27, No. 2, 332-346 (2002). MSC: 90C22 PDF BibTeX XML Cite \textit{J. Sun} et al., Math. Oper. Res. 27, No. 2, 332--346 (2002; Zbl 1082.90555) Full Text: DOI
Toh, Kim-Chuan; Zhao, Gongyun; Sun, Jie A multiple-cut analytic center cutting plane method for semidefinite feasibility problems. (English) Zbl 1012.65056 SIAM J. Optim. 12, No. 4, 1126-1146 (2002). Reviewer: Yves Cherruault (Paris) MSC: 65K05 90C25 PDF BibTeX XML Cite \textit{K.-C. Toh} et al., SIAM J. Optim. 12, No. 4, 1126--1146 (2002; Zbl 1012.65056) Full Text: DOI
Toh, Kim-Chuan A note on the calculation of step-lengths in interior-point methods for semidefinite programming. (English) Zbl 0994.90105 Comput. Optim. Appl. 21, No. 3, 301-310 (2002). MSC: 90C22 90C51 PDF BibTeX XML Cite \textit{K.-C. Toh}, Comput. Optim. Appl. 21, No. 3, 301--310 (2002; Zbl 0994.90105) Full Text: DOI
Toh, Kim-Chuan; Kojima, Masakazu Solving some large scale semidefinite programs via the conjugate residual method. (English) Zbl 1008.90043 SIAM J. Optim. 12, No. 3, 669-691 (2002). MSC: 90C22 90C52 90C06 90C51 PDF BibTeX XML Cite \textit{K.-C. Toh} and \textit{M. Kojima}, SIAM J. Optim. 12, No. 3, 669--691 (2002; Zbl 1008.90043) Full Text: DOI
Toh, Kim-Chuan Some new search directions for primal-dual interior point methods in semidefinite programming. (English) Zbl 0990.90091 SIAM J. Optim. 11, No. 1, 223-242 (2000). MSC: 90C22 90C51 90C34 PDF BibTeX XML Cite \textit{K.-C. Toh}, SIAM J. Optim. 11, No. 1, 223--242 (2000; Zbl 0990.90091) Full Text: DOI
Toh, Kim-Chuan A note on the calculation of step-lengths in interior-point methods for semidefinite programming. (English) Zbl 0957.90536 RIMS Kokyuroku 1114, 106-113 (1999). MSC: 90C51 90C22 PDF BibTeX XML Cite \textit{K.-C. Toh}, RIMS Kokyuroku 1114, 106--113 (1999; Zbl 0957.90536)
Toh, Kim-Chuan Primal-dual path-following algorithms for determinant maximization problems with linear matrix inequalities. (English) Zbl 0961.90129 Comput. Optim. Appl. 14, No. 3, 309-330 (1999). MSC: 90C51 90C22 PDF BibTeX XML Cite \textit{K.-C. Toh}, Comput. Optim. Appl. 14, No. 3, 309--330 (1999; Zbl 0961.90129) Full Text: DOI