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
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
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
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
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
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
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
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
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
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
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
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