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 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
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
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 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
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
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
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
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
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 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
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
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
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
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
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; 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