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Author ID: toh.kimchuan Recent zbMATH articles by "Toh, Kim Chuan"
Published as: Toh, Kim-Chuan; Toh, K. C.; Chuan, Toh Kim; Toh, Kim Chuan; Toh, Kimchuan; Toh, K.-C.
Homepage: https://blog.nus.edu.sg/mattohkc/
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Publications by Year

Citations contained in zbMATH Open

106 Publications have been cited 2,431 times in 1,480 Documents Cited by Year
SDPT3 – a MATLAB software package for semidefinite programming, version 1. 3. Zbl 0997.90060
Toh, K. C.; Todd, M. J.; Tütüncü, R. H.
318
1999
Solving semidefinite-quadratic-linear programs using SDPT3. Zbl 1030.90082
Tütüncü, R. H.; Toh, K. C.; Todd, M. J.
244
2003
A Newton-CG augmented Lagrangian method for semidefinite programming. Zbl 1213.90175
Zhao, Xin-Yuan; Sun, Defeng; Toh, Kim-Chuan
138
2010
An accelerated proximal gradient algorithm for nuclear norm regularized linear least squares problems. Zbl 1205.90218
Toh, Kim-Chuan; Yun, Sangwoon
131
2010
On the Nesterov-Todd direction in semidefinite programming. Zbl 0913.90217
Todd, M. J.; Toh, K. C.; Tütüncü, R. H.
85
1998
A convergent 3-block semiproximal alternating direction method of multipliers for conic programming with 4-type constraints. Zbl 1328.90083
Sun, Defeng; Toh, Kim-Chuan; Yang, Liuqin
69
2015
A Schur complement based semi-proximal ADMM for convex quadratic conic programming and extensions. Zbl 1342.90134
Li, Xudong; Sun, Defeng; Toh, Kim-Chuan
59
2016
SDPNAL+: a majorized semismooth Newton-CG augmented Lagrangian method for semidefinite programming with nonnegative constraints. Zbl 1321.90085
Yang, Liuqin; Sun, Defeng; Toh, Kim-Chuan
59
2015
An efficient inexact symmetric Gauss-Seidel based majorized ADMM for high-dimensional convex composite conic programming. Zbl 1356.90105
Chen, Liang; Sun, Defeng; Toh, Kim-Chuan
56
2017
On the implementation and usage of SDPT3 – a Matlab software package for semidefinite-quadratic-linear programming, version 4.0. Zbl 1334.90117
Toh, Kim-Chuan; Todd, Michael J.; Tütüncü, Reha H.
53
2012
Superlinear convergence of a Newton-type algorithm for monotone equations. Zbl 1114.65055
Zhou, G.; Toh, K. C.
48
2005
An inexact primal-dual path following algorithm for convex quadratic SDP. Zbl 1136.90027
Toh, Kim-Chuan
48
2008
A convergent 3-block semi-proximal ADMM for convex minimization problems with one strongly convex block. Zbl 1327.90214
Li, Min; Sun, Defeng; Toh, Kim-Chuan
41
2015
An implementable proximal point algorithmic framework for nuclear norm minimization. Zbl 1262.90125
Liu, Yong-Jin; Sun, Defeng; Toh, Kim-Chuan
39
2012
A highly efficient semismooth Newton augmented Lagrangian method for solving lasso problems. Zbl 1392.65062
Li, Xudong; Sun, Defeng; Toh, Kim-Chuan
38
2018
An inexact accelerated proximal gradient method for large scale linearly constrained convex SDP. Zbl 1401.90120
Jiang, Kaifeng; Sun, Defeng; Toh, Kim-Chuan
36
2012
A majorized ADMM with indefinite proximal terms for linearly constrained convex composite optimization. Zbl 1338.90305
Li, Min; Sun, Defeng; Toh, Kim-Chuan
36
2016
Pseudozeros of polynomials and pseudospectra of companion matrices. Zbl 0808.65053
Toh, Kim-Chuan; Trefethen, Lloyd N.
34
1994
An introduction to a class of matrix cone programming. Zbl 1301.65043
Ding, Chao; Sun, Defeng; Toh, Kim-Chuan
33
2014
Solving large scale semidefinite programs via an iterative solver on the augmented systems. Zbl 1071.90026
Toh, Kim-Chuan
32
2003
From potential theory to matrix iterations in six steps. Zbl 0930.65020
Driscoll, Tobin A.; Toh, Kim-Chuan; Trefethen, Lloyd N.
32
1998
Calculation of pseudospectra by the Arnoldi iteration. Zbl 0842.65022
Toh, Kim-Chuan; Trefethen, Lloyd N.
28
1996
A coordinate gradient descent method for \(\ell_{1}\)-regularized convex minimization. Zbl 1220.90092
Yun, Sangwoon; Toh, Kim-Chuan
28
2011
Solving log-determinant optimization problems by a Newton-CG primal proximal point algorithm. Zbl 1211.90130
Wang, Chengjing; Sun, Defeng; Toh, Kim-Chuan
27
2010
A Lagrangian-DNN relaxation: a fast method for computing tight lower bounds for a class of quadratic optimization problems. Zbl 1342.90123
Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan
26
2016
A bounded degree SOS hierarchy for polynomial optimization. Zbl 1368.90132
Lasserre, Jean B.; Toh, Kim-Chuan; Yang, Shouguang
24
2017
An inexact interior point method for \(L_{1}\)-regularized sparse covariance selection. Zbl 1208.90131
Li, Lu; Toh, Kim-Chuan
24
2010
QSDPNAL: a two-phase augmented Lagrangian method for convex quadratic semidefinite programming. Zbl 1411.90213
Li, Xudong; Sun, Defeng; Toh, Kim-Chuan
22
2018
Block preconditioners for symmetric indefinite linear systems. Zbl 1065.65064
Toh, Kim-Chuan; Phoon, Kok-Kwang; Chan, Swee-Huat
21
2004
Inexact primal-dual path-following algorithms for a special class of convex quadratic SDP and related problems. Zbl 1136.90026
Toh, K. C.; Tütüncü, R. H.; Todd, M. J.
19
2007
On the convergence properties of a majorized alternating direction method of multipliers for linearly constrained convex optimization problems with coupled objective functions. Zbl 1342.90130
Cui, Ying; Li, Xudong; Sun, Defeng; Toh, Kim-Chuan
19
2016
An efficient diagonal preconditioner for finite element solution of Biot’s consolidation equations. Zbl 1076.74558
Phoon, K. K.; Toh, K. C.; Chan, S. H.; Lee, F. H.
18
2002
Solving some large scale semidefinite programs via the conjugate residual method. Zbl 1008.90043
Toh, Kim-Chuan; Kojima, Masakazu
18
2002
An accelerated proximal gradient algorithm for frame-based image restoration via the balanced approach. Zbl 1219.94012
Shen, Zuowei; Toh, Kim-Chuan; Yun, Sangwoon
18
2011
The Kreiss matrix theorem on a general complex domain. Zbl 0946.65029
Toh, Kim-Chuan; Trefethen, Lloyd N.
17
1999
Sparse-BSOS: a bounded degree SOS hierarchy for large scale polynomial optimization with sparsity. Zbl 1402.90136
Weisser, Tillmann; Lasserre, Jean B.; Toh, Kim-Chuan
17
2018
Efficient algorithms for the smallest enclosing ball problem. Zbl 1112.90060
Zhou, Guanglu; Toh, Kim-Chuan; Sun, Jie
16
2005
SDPNAL+: A Matlab software for semidefinite programming with bound constraints (version 1.0). Zbl 1432.90104
Sun, Defeng; Toh, Kim-Chuan; Yuan, Yancheng; Zhao, Xin-Yuan
15
2020
On efficiently solving the subproblems of a level-set method for fused lasso problems. Zbl 1401.90145
Li, Xudong; Sun, Defeng; Toh, Kim-Chuan
15
2018
A note on the convergence of ADMM for linearly constrained convex optimization problems. Zbl 1367.90083
Chen, Liang; Sun, Defeng; Toh, Kim-Chuan
15
2017
A modified SSOR preconditioner for sparse symmetric indefinite linear systems of equations. Zbl 1114.74056
Chen, X.; Toh, K. C.; Phoon, K. K.
15
2006
Preconditioning and iterative solution of symmetric indefinite linear systems arising from interior point methods for linear programming. Zbl 1148.90352
Chai, Joo-Siong; Toh, Kim-Chuan
15
2007
A proximal point algorithm for log-determinant optimization with group Lasso regularization. Zbl 1285.65037
Yang, Junfeng; Sun, Defeng; Toh, Kim-Chuan
14
2013
Hypersingular and finite part integrals in the boundary element method. Zbl 0946.74584
Toh, Kim-Chuan; Mukherjee, Subrata
14
1994
An efficient Hessian based algorithm for solving large-scale sparse group Lasso problems. Zbl 1435.90112
Zhang, Yangjing; Zhang, Ning; Sun, Defeng; Toh, Kim-Chuan
13
2020
A distributed SDP approach for large-scale noisy anchor-free graph realization with applications to molecular conformation. Zbl 1161.49028
Biswas, Pratik; Toh, Kim-Chuan; Ye, Yinyu
13
2008
Image restoration with mixed or unknown noises. Zbl 1380.94021
Gong, Zheng; Shen, Zuowei; Toh, Kim-Chuan
13
2014
On the Moreau-Yosida regularization of the vector \(k\)-norm related functions. Zbl 1297.90122
Wu, Bin; Ding, Chao; Sun, Defeng; Toh, Kim-Chuan
12
2014
Spectral operators of matrices. Zbl 1411.90264
Ding, Chao; Sun, Defeng; Sun, Jie; Toh, Kim-Chuan
12
2018
The Chebyshev polynomials of a matrix. Zbl 0922.65019
Toh, Kim-Chuan; Trefethen, Lloyd N.
12
1998
On the R-superlinear convergence of the KKT residuals generated by the augmented Lagrangian method for convex composite conic programming. Zbl 1423.90171
Cui, Ying; Sun, Defeng; Toh, Kim-Chuan
12
2019
A partial proximal point algorithm for nuclear norm regularized matrix least squares problems. Zbl 1327.90109
Jiang, Kaifeng; Sun, Defeng; Toh, Kim-Chuan
11
2014
An efficient inexact ABCD method for least squares semidefinite programming. Zbl 1346.90658
Sun, Defeng; Toh, Kim-Chuan; Yang, Liuqin
11
2016
A block symmetric Gauss-Seidel decomposition theorem for convex composite quadratic programming and its applications. Zbl 1412.90086
Li, Xudong; Sun, Defeng; Toh, Kim-Chuan
10
2019
Primal-dual path-following algorithms for determinant maximization problems with linear matrix inequalities. Zbl 0961.90129
Toh, Kim-Chuan
9
1999
Solving nuclear norm regularized and semidefinite matrix least squares problems with linear equality constraints. Zbl 1297.90085
Jiang, Kaifeng; Sun, Defeng; Toh, Kim-Chuan
9
2013
Numerical computation of fluid flow and heat transfer in microchannels. Zbl 1008.76519
Toh, K. C.; Chen, X. Y.; Chai, J. C.
9
2002
Behavioral measures and their correlation with IPM iteration counts on semi-definite programming problems. Zbl 1278.90447
Freund, Robert M.; Ordóñez, Fernando; Toh, Kim-Chuan
9
2007
A semismooth Newton-CG based dual PPA for matrix spectral norm approximation problems. Zbl 1342.90100
Chen, Caihua; Liu, Yong-Jin; Sun, Defeng; Toh, Kim-Chuan
9
2016
An analytic center cutting plane method for semidefinite feasibility problems. Zbl 1082.90555
Sun, Jie; Toh, Kim-Chuan; Zhao, Gongyun
9
2002
Efficient sparse semismooth Newton methods for the clustered Lasso problem. Zbl 1427.90200
Lin, Meixia; Liu, Yong-Jin; Sun, Defeng; Toh, Kim-Chuan
8
2019
A multiple-cut analytic center cutting plane method for semidefinite feasibility problems. Zbl 1012.65056
Toh, Kim-Chuan; Zhao, Gongyun; Sun, Jie
8
2002
GMRES vs. ideal GMRES. Zbl 0877.65014
Toh, Kim-Chuan
8
1997
A robust Lagrangian-DNN method for a class of quadratic optimization problems. Zbl 1366.90152
Arima, Naohiko; Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan
7
2017
Semi-definite programming relaxation of quadratic assignment problems based on nonredundant matrix splitting. Zbl 1338.90295
Peng, Jiming; Zhu, Tao; Luo, Hezhi; Toh, Kim-Chuan
7
2015
Polynomiality of an inexact infeasible interior point algorithm for semidefinite programming. Zbl 1098.90051
Zhou, Guanglu; Toh, Kim-Chuan
7
2004
On the efficient computation of a generalized Jacobian of the projector over the Birkhoff polytope. Zbl 1434.90116
Li, Xudong; Sun, Defeng; Toh, Kim-Chuan
6
2020
Spectral operators of matrices: semismoothness and characterizations of the generalized Jacobian. Zbl 1434.49007
Ding, Chao; Sun, Defeng; Sun, Jie; Toh, Kim-Chuan
6
2020
Computing the Sobolev regularity of refinable functions by the Arnoldi method. Zbl 1009.42025
Ron, Amos; Shen, Zuowei; Toh, Kim-Chuan
6
2001
Algorithm 996: BBCPOP: a sparse doubly nonnegative relaxation of polynomial optimization problems with binary, box, and complementarity constraints. Zbl 1486.65065
Ito, Naoki; Kim, Sunyoung; Kojima, Masakazu; Takeda, Akiko; Toh, Kim-Chuan
6
2019
Numerical modeling of unidirectional stratified flow with and without phase change. Zbl 1097.76019
Yap, Y. F.; Chai, J. C.; Toh, K. C.; Wong, T. N.; Lam, Y. C.
6
2005
A probabilistic model for minmax regret in combinatorial optimization. Zbl 1291.90208
Natarajan, Karthik; Shi, Dongjian; Toh, Kim-Chuan
6
2014
A polynomial-time inexact interior-point method for convex quadratic symmetric cone programming. Zbl 1279.90126
Li, Lu; Toh, Kim-Chuan
6
2010
Solving the OSCAR and SLOPE models using a semismooth Newton-based augmented Lagrangian method. Zbl 1434.68430
Luo, Ziyan; Sun, Defeng; Toh, Kim-Chuan; Xiu, Naihua
5
2019
Some new search directions for primal-dual interior point methods in semidefinite programming. Zbl 0990.90091
Toh, Kim-Chuan
5
2000
An SDP-based divide-and-conquer algorithm for large-scale noisy anchor-free graph realization. Zbl 1203.93157
Leung, Ngai-Hang Z.; Toh, Kim-Chuan
5
2009
Using a distributed SDP approach to solve simulated protein molecular conformation problems. Zbl 1271.68233
Fang, Xingyuan; Toh, Kim-Chuan
5
2013
A polynomial-time inexact primal-dual infeasible path-following algorithm for convex quadratic SDP. Zbl 1247.90211
Li, Lu; Toh, Kim-Chuan
5
2011
Practical matrix completion and corruption recovery using proximal alternating robust subspace minimization. Zbl 1398.68463
Wang, Yu-Xiang; Lee, Choon Meng; Cheong, Loong-Fah; Toh, Kim-Chuan
4
2015
A sparse semismooth Newton based proximal majorization-minimization algorithm for nonconvex square-root-loss regression problems. Zbl 07306909
Tang, Peipei; Wang, Chengjing; Sun, Defeng; Toh, Kim-Chuan
4
2020
Max-norm optimization for robust matrix recovery. Zbl 1414.90265
Fang, Ethan X.; Liu, Han; Toh, Kim-Chuan; Zhou, Wen-Xin
4
2018
A unified formulation and fast accelerated proximal gradient method for classification. Zbl 1433.68351
Ito, Naoki; Takeda, Akiko; Toh, Kim-Chuan
4
2017
A block coordinate gradient descent method for regularized convex separable optimization and covariance selection. Zbl 1228.90052
Yun, Sangwoon; Tseng, Paul; Toh, Kim-Chuan
4
2011
An asymptotically superlinearly convergent semismooth Newton augmented Lagrangian method for linear programming. Zbl 1450.90007
Li, Xudong; Sun, Defeng; Toh, Kim-Chuan
3
2020
A unified algorithmic framework of symmetric Gauss-Seidel decomposition based proximal ADMMs for convex composite programming. Zbl 1463.90154
Chen, Liang; Sun, Defeng; Toh, Kim Chuan; Zhang, Ning
3
2019
Comparison between iterative solution of symmetric and non-symmetric forms of Biot’s FEM equations using the generalized Jacobi preconditioner. Zbl 1273.74551
Toh, Kim-Chuan; Phoon, Kok-Kwang
3
2008
Lagrangian-conic relaxations. I: A unified framework and its applications to quadratic optimization problems. Zbl 1474.90314
Arima, Naohiko; Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan
3
2018
Partitioned versus global Krylov subspace iterative methods for FE solution of 3-D Biot’s problem. Zbl 1173.74405
Chen, X.; Phoon, K. K.; Toh, K. C.
3
2007
A note on the calculation of step-lengths in interior-point methods for semidefinite programming. Zbl 0994.90105
Toh, Kim-Chuan
3
2002
Fast iterative solution of large undrained soil-structure interaction problems. Zbl 1106.74413
Phoon, Kok-Kwang; Chan, Swee-Huat; Toh, Kim-Chuan; Lee, Fook-Hou
3
2003
Solving second order cone programming via a reduced augmented system approach. Zbl 1128.90045
Cai, Zhi; Toh, Kim-Chuan
3
2006
A proximal point algorithm for sequential feature extraction applications. Zbl 1277.65044
Doan, Xuan Vinh; Toh, Kim-Chuan; Vavasis, Stephen
3
2013
Fast algorithms for large-scale generalized distance weighted discrimination. Zbl 07498954
Lam, Xin Yee; Marron, J. S.; Sun, Defeng; Toh, Kim-Chuan
3
2018
A proximal point dual Newton algorithm for solving group graphical Lasso problems. Zbl 1448.90096
Zhang, Yangjing; Zhang, Ning; Sun, Defeng; Toh, Kim-Chuan
2
2020
Computing the best approximation over the intersection of a polyhedral set and the doubly nonnegative cone. Zbl 1431.90109
Cui, Ying; Sun, Defeng; Toh, Kim-Chuan
2
2019
A geometrical analysis on convex conic reformulations of quadratic and polynomial optimization problems. Zbl 1491.90112
Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan
2
2020
Doubly nonnegative relaxations are equivalent to completely positive reformulations of quadratic optimization problems with block-clique graph structures. Zbl 1444.90090
Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan
2
2020
On the equivalence of inexact proximal ALM and ADMM for a class of convex composite programming. Zbl 1458.90509
Chen, Liang; Li, Xudong; Sun, Defeng; Toh, Kim-Chuan
2
2021
Convex clustering: model, theoretical guarantee and efficient algorithm. Zbl 07370526
Sun, Defeng; Toh, Kim-Chuan; Yuan, Yancheng
2
2021
Computation of condition numbers for linear programming problems using Peña’s method. Zbl 1136.90540
Chai, Joo-Siong; Toh, Kim-Chuan
2
2006
On the equivalence of inexact proximal ALM and ADMM for a class of convex composite programming. Zbl 1458.90509
Chen, Liang; Li, Xudong; Sun, Defeng; Toh, Kim-Chuan
2
2021
Convex clustering: model, theoretical guarantee and efficient algorithm. Zbl 07370526
Sun, Defeng; Toh, Kim-Chuan; Yuan, Yancheng
2
2021
SDPNAL+: A Matlab software for semidefinite programming with bound constraints (version 1.0). Zbl 1432.90104
Sun, Defeng; Toh, Kim-Chuan; Yuan, Yancheng; Zhao, Xin-Yuan
15
2020
An efficient Hessian based algorithm for solving large-scale sparse group Lasso problems. Zbl 1435.90112
Zhang, Yangjing; Zhang, Ning; Sun, Defeng; Toh, Kim-Chuan
13
2020
On the efficient computation of a generalized Jacobian of the projector over the Birkhoff polytope. Zbl 1434.90116
Li, Xudong; Sun, Defeng; Toh, Kim-Chuan
6
2020
Spectral operators of matrices: semismoothness and characterizations of the generalized Jacobian. Zbl 1434.49007
Ding, Chao; Sun, Defeng; Sun, Jie; Toh, Kim-Chuan
6
2020
A sparse semismooth Newton based proximal majorization-minimization algorithm for nonconvex square-root-loss regression problems. Zbl 07306909
Tang, Peipei; Wang, Chengjing; Sun, Defeng; Toh, Kim-Chuan
4
2020
An asymptotically superlinearly convergent semismooth Newton augmented Lagrangian method for linear programming. Zbl 1450.90007
Li, Xudong; Sun, Defeng; Toh, Kim-Chuan
3
2020
A proximal point dual Newton algorithm for solving group graphical Lasso problems. Zbl 1448.90096
Zhang, Yangjing; Zhang, Ning; Sun, Defeng; Toh, Kim-Chuan
2
2020
A geometrical analysis on convex conic reformulations of quadratic and polynomial optimization problems. Zbl 1491.90112
Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan
2
2020
Doubly nonnegative relaxations are equivalent to completely positive reformulations of quadratic optimization problems with block-clique graph structures. Zbl 1444.90090
Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan
2
2020
On the R-superlinear convergence of the KKT residuals generated by the augmented Lagrangian method for convex composite conic programming. Zbl 1423.90171
Cui, Ying; Sun, Defeng; Toh, Kim-Chuan
12
2019
A block symmetric Gauss-Seidel decomposition theorem for convex composite quadratic programming and its applications. Zbl 1412.90086
Li, Xudong; Sun, Defeng; Toh, Kim-Chuan
10
2019
Efficient sparse semismooth Newton methods for the clustered Lasso problem. Zbl 1427.90200
Lin, Meixia; Liu, Yong-Jin; Sun, Defeng; Toh, Kim-Chuan
8
2019
Algorithm 996: BBCPOP: a sparse doubly nonnegative relaxation of polynomial optimization problems with binary, box, and complementarity constraints. Zbl 1486.65065
Ito, Naoki; Kim, Sunyoung; Kojima, Masakazu; Takeda, Akiko; Toh, Kim-Chuan
6
2019
Solving the OSCAR and SLOPE models using a semismooth Newton-based augmented Lagrangian method. Zbl 1434.68430
Luo, Ziyan; Sun, Defeng; Toh, Kim-Chuan; Xiu, Naihua
5
2019
A unified algorithmic framework of symmetric Gauss-Seidel decomposition based proximal ADMMs for convex composite programming. Zbl 1463.90154
Chen, Liang; Sun, Defeng; Toh, Kim Chuan; Zhang, Ning
3
2019
Computing the best approximation over the intersection of a polyhedral set and the doubly nonnegative cone. Zbl 1431.90109
Cui, Ying; Sun, Defeng; Toh, Kim-Chuan
2
2019
Best nonnegative rank-one approximations of tensors. Zbl 1454.90047
Hu, Shenglong; Sun, Defeng; Toh, Kim-Chuan
1
2019
Lagrangian-conic relaxations. II: Applications to polynomial optimization problems. Zbl 1454.90041
Arima, Naohiko; Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan
1
2019
A highly efficient semismooth Newton augmented Lagrangian method for solving lasso problems. Zbl 1392.65062
Li, Xudong; Sun, Defeng; Toh, Kim-Chuan
38
2018
QSDPNAL: a two-phase augmented Lagrangian method for convex quadratic semidefinite programming. Zbl 1411.90213
Li, Xudong; Sun, Defeng; Toh, Kim-Chuan
22
2018
Sparse-BSOS: a bounded degree SOS hierarchy for large scale polynomial optimization with sparsity. Zbl 1402.90136
Weisser, Tillmann; Lasserre, Jean B.; Toh, Kim-Chuan
17
2018
On efficiently solving the subproblems of a level-set method for fused lasso problems. Zbl 1401.90145
Li, Xudong; Sun, Defeng; Toh, Kim-Chuan
15
2018
Spectral operators of matrices. Zbl 1411.90264
Ding, Chao; Sun, Defeng; Sun, Jie; Toh, Kim-Chuan
12
2018
Max-norm optimization for robust matrix recovery. Zbl 1414.90265
Fang, Ethan X.; Liu, Han; Toh, Kim-Chuan; Zhou, Wen-Xin
4
2018
Lagrangian-conic relaxations. I: A unified framework and its applications to quadratic optimization problems. Zbl 1474.90314
Arima, Naohiko; Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan
3
2018
Fast algorithms for large-scale generalized distance weighted discrimination. Zbl 07498954
Lam, Xin Yee; Marron, J. S.; Sun, Defeng; Toh, Kim-Chuan
3
2018
Equivalences and differences in conic relaxations of combinatorial quadratic optimization problems. Zbl 1404.90096
Ito, N.; Kim, Sunyoung; Kojima, M.; Takeda, A.; Toh, K.-C.
1
2018
Bounds for random binary quadratic programs. Zbl 1396.90046
Natarajan, Karthik; Shi, Dongjian; Toh, Kim-Chuan
1
2018
An efficient inexact symmetric Gauss-Seidel based majorized ADMM for high-dimensional convex composite conic programming. Zbl 1356.90105
Chen, Liang; Sun, Defeng; Toh, Kim-Chuan
56
2017
A bounded degree SOS hierarchy for polynomial optimization. Zbl 1368.90132
Lasserre, Jean B.; Toh, Kim-Chuan; Yang, Shouguang
24
2017
A note on the convergence of ADMM for linearly constrained convex optimization problems. Zbl 1367.90083
Chen, Liang; Sun, Defeng; Toh, Kim-Chuan
15
2017
A robust Lagrangian-DNN method for a class of quadratic optimization problems. Zbl 1366.90152
Arima, Naohiko; Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan
7
2017
A unified formulation and fast accelerated proximal gradient method for classification. Zbl 1433.68351
Ito, Naoki; Takeda, Akiko; Toh, Kim-Chuan
4
2017
A Schur complement based semi-proximal ADMM for convex quadratic conic programming and extensions. Zbl 1342.90134
Li, Xudong; Sun, Defeng; Toh, Kim-Chuan
59
2016
A majorized ADMM with indefinite proximal terms for linearly constrained convex composite optimization. Zbl 1338.90305
Li, Min; Sun, Defeng; Toh, Kim-Chuan
36
2016
A Lagrangian-DNN relaxation: a fast method for computing tight lower bounds for a class of quadratic optimization problems. Zbl 1342.90123
Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan
26
2016
On the convergence properties of a majorized alternating direction method of multipliers for linearly constrained convex optimization problems with coupled objective functions. Zbl 1342.90130
Cui, Ying; Li, Xudong; Sun, Defeng; Toh, Kim-Chuan
19
2016
An efficient inexact ABCD method for least squares semidefinite programming. Zbl 1346.90658
Sun, Defeng; Toh, Kim-Chuan; Yang, Liuqin
11
2016
A semismooth Newton-CG based dual PPA for matrix spectral norm approximation problems. Zbl 1342.90100
Chen, Caihua; Liu, Yong-Jin; Sun, Defeng; Toh, Kim-Chuan
9
2016
A convergent 3-block semiproximal alternating direction method of multipliers for conic programming with 4-type constraints. Zbl 1328.90083
Sun, Defeng; Toh, Kim-Chuan; Yang, Liuqin
69
2015
SDPNAL+: a majorized semismooth Newton-CG augmented Lagrangian method for semidefinite programming with nonnegative constraints. Zbl 1321.90085
Yang, Liuqin; Sun, Defeng; Toh, Kim-Chuan
59
2015
A convergent 3-block semi-proximal ADMM for convex minimization problems with one strongly convex block. Zbl 1327.90214
Li, Min; Sun, Defeng; Toh, Kim-Chuan
41
2015
Semi-definite programming relaxation of quadratic assignment problems based on nonredundant matrix splitting. Zbl 1338.90295
Peng, Jiming; Zhu, Tao; Luo, Hezhi; Toh, Kim-Chuan
7
2015
Practical matrix completion and corruption recovery using proximal alternating robust subspace minimization. Zbl 1398.68463
Wang, Yu-Xiang; Lee, Choon Meng; Cheong, Loong-Fah; Toh, Kim-Chuan
4
2015
An introduction to a class of matrix cone programming. Zbl 1301.65043
Ding, Chao; Sun, Defeng; Toh, Kim-Chuan
33
2014
Image restoration with mixed or unknown noises. Zbl 1380.94021
Gong, Zheng; Shen, Zuowei; Toh, Kim-Chuan
13
2014
On the Moreau-Yosida regularization of the vector \(k\)-norm related functions. Zbl 1297.90122
Wu, Bin; Ding, Chao; Sun, Defeng; Toh, Kim-Chuan
12
2014
A partial proximal point algorithm for nuclear norm regularized matrix least squares problems. Zbl 1327.90109
Jiang, Kaifeng; Sun, Defeng; Toh, Kim-Chuan
11
2014
A probabilistic model for minmax regret in combinatorial optimization. Zbl 1291.90208
Natarajan, Karthik; Shi, Dongjian; Toh, Kim-Chuan
6
2014
A proximal point algorithm for log-determinant optimization with group Lasso regularization. Zbl 1285.65037
Yang, Junfeng; Sun, Defeng; Toh, Kim-Chuan
14
2013
Solving nuclear norm regularized and semidefinite matrix least squares problems with linear equality constraints. Zbl 1297.90085
Jiang, Kaifeng; Sun, Defeng; Toh, Kim-Chuan
9
2013
Using a distributed SDP approach to solve simulated protein molecular conformation problems. Zbl 1271.68233
Fang, Xingyuan; Toh, Kim-Chuan
5
2013
A proximal point algorithm for sequential feature extraction applications. Zbl 1277.65044
Doan, Xuan Vinh; Toh, Kim-Chuan; Vavasis, Stephen
3
2013
On the implementation and usage of SDPT3 – a Matlab software package for semidefinite-quadratic-linear programming, version 4.0. Zbl 1334.90117
Toh, Kim-Chuan; Todd, Michael J.; Tütüncü, Reha H.
53
2012
An implementable proximal point algorithmic framework for nuclear norm minimization. Zbl 1262.90125
Liu, Yong-Jin; Sun, Defeng; Toh, Kim-Chuan
39
2012
An inexact accelerated proximal gradient method for large scale linearly constrained convex SDP. Zbl 1401.90120
Jiang, Kaifeng; Sun, Defeng; Toh, Kim-Chuan
36
2012
A coordinate gradient descent method for \(\ell_{1}\)-regularized convex minimization. Zbl 1220.90092
Yun, Sangwoon; Toh, Kim-Chuan
28
2011
An accelerated proximal gradient algorithm for frame-based image restoration via the balanced approach. Zbl 1219.94012
Shen, Zuowei; Toh, Kim-Chuan; Yun, Sangwoon
18
2011
A polynomial-time inexact primal-dual infeasible path-following algorithm for convex quadratic SDP. Zbl 1247.90211
Li, Lu; Toh, Kim-Chuan
5
2011
A block coordinate gradient descent method for regularized convex separable optimization and covariance selection. Zbl 1228.90052
Yun, Sangwoon; Tseng, Paul; Toh, Kim-Chuan
4
2011
A Newton-CG augmented Lagrangian method for semidefinite programming. Zbl 1213.90175
Zhao, Xin-Yuan; Sun, Defeng; Toh, Kim-Chuan
138
2010
An accelerated proximal gradient algorithm for nuclear norm regularized linear least squares problems. Zbl 1205.90218
Toh, Kim-Chuan; Yun, Sangwoon
131
2010
Solving log-determinant optimization problems by a Newton-CG primal proximal point algorithm. Zbl 1211.90130
Wang, Chengjing; Sun, Defeng; Toh, Kim-Chuan
27
2010
An inexact interior point method for \(L_{1}\)-regularized sparse covariance selection. Zbl 1208.90131
Li, Lu; Toh, Kim-Chuan
24
2010
A polynomial-time inexact interior-point method for convex quadratic symmetric cone programming. Zbl 1279.90126
Li, Lu; Toh, Kim-Chuan
6
2010
An SDP-based divide-and-conquer algorithm for large-scale noisy anchor-free graph realization. Zbl 1203.93157
Leung, Ngai-Hang Z.; Toh, Kim-Chuan
5
2009
An inexact primal-dual path following algorithm for convex quadratic SDP. Zbl 1136.90027
Toh, Kim-Chuan
48
2008
A distributed SDP approach for large-scale noisy anchor-free graph realization with applications to molecular conformation. Zbl 1161.49028
Biswas, Pratik; Toh, Kim-Chuan; Ye, Yinyu
13
2008
Comparison between iterative solution of symmetric and non-symmetric forms of Biot’s FEM equations using the generalized Jacobi preconditioner. Zbl 1273.74551
Toh, Kim-Chuan; Phoon, Kok-Kwang
3
2008
Inexact primal-dual path-following algorithms for a special class of convex quadratic SDP and related problems. Zbl 1136.90026
Toh, K. C.; Tütüncü, R. H.; Todd, M. J.
19
2007
Preconditioning and iterative solution of symmetric indefinite linear systems arising from interior point methods for linear programming. Zbl 1148.90352
Chai, Joo-Siong; Toh, Kim-Chuan
15
2007
Behavioral measures and their correlation with IPM iteration counts on semi-definite programming problems. Zbl 1278.90447
Freund, Robert M.; Ordóñez, Fernando; Toh, Kim-Chuan
9
2007
Partitioned versus global Krylov subspace iterative methods for FE solution of 3-D Biot’s problem. Zbl 1173.74405
Chen, X.; Phoon, K. K.; Toh, K. C.
3
2007
A modified SSOR preconditioner for sparse symmetric indefinite linear systems of equations. Zbl 1114.74056
Chen, X.; Toh, K. C.; Phoon, K. K.
15
2006
Solving second order cone programming via a reduced augmented system approach. Zbl 1128.90045
Cai, Zhi; Toh, Kim-Chuan
3
2006
Computation of condition numbers for linear programming problems using Peña’s method. Zbl 1136.90540
Chai, Joo-Siong; Toh, Kim-Chuan
2
2006
Superlinear convergence of a Newton-type algorithm for monotone equations. Zbl 1114.65055
Zhou, G.; Toh, K. C.
48
2005
Efficient algorithms for the smallest enclosing ball problem. Zbl 1112.90060
Zhou, Guanglu; Toh, Kim-Chuan; Sun, Jie
16
2005
Numerical modeling of unidirectional stratified flow with and without phase change. Zbl 1097.76019
Yap, Y. F.; Chai, J. C.; Toh, K. C.; Wong, T. N.; Lam, Y. C.
6
2005
Block preconditioners for symmetric indefinite linear systems. Zbl 1065.65064
Toh, Kim-Chuan; Phoon, Kok-Kwang; Chan, Swee-Huat
21
2004
Polynomiality of an inexact infeasible interior point algorithm for semidefinite programming. Zbl 1098.90051
Zhou, Guanglu; Toh, Kim-Chuan
7
2004
Convergence analysis of an infeasible interior point algorithm based on a regularized central path for linear complementarity problems. Zbl 1046.90045
Zhou, Guanglu; Toh, Kim-Chuan; Zhao, Gongyun
2
2004
Solving semidefinite-quadratic-linear programs using SDPT3. Zbl 1030.90082
Tütüncü, R. H.; Toh, K. C.; Todd, M. J.
244
2003
Solving large scale semidefinite programs via an iterative solver on the augmented systems. Zbl 1071.90026
Toh, Kim-Chuan
32
2003
Fast iterative solution of large undrained soil-structure interaction problems. Zbl 1106.74413
Phoon, Kok-Kwang; Chan, Swee-Huat; Toh, Kim-Chuan; Lee, Fook-Hou
3
2003
Globally and quadratically convergent algorithm for minimizing the sum of Euclidean norms. Zbl 1055.90057
Zhou, G.; Toh, K. C.; Sun, D.
2
2003
An efficient diagonal preconditioner for finite element solution of Biot’s consolidation equations. Zbl 1076.74558
Phoon, K. K.; Toh, K. C.; Chan, S. H.; Lee, F. H.
18
2002
Solving some large scale semidefinite programs via the conjugate residual method. Zbl 1008.90043
Toh, Kim-Chuan; Kojima, Masakazu
18
2002
Numerical computation of fluid flow and heat transfer in microchannels. Zbl 1008.76519
Toh, K. C.; Chen, X. Y.; Chai, J. C.
9
2002
An analytic center cutting plane method for semidefinite feasibility problems. Zbl 1082.90555
Sun, Jie; Toh, Kim-Chuan; Zhao, Gongyun
9
2002
A multiple-cut analytic center cutting plane method for semidefinite feasibility problems. Zbl 1012.65056
Toh, Kim-Chuan; Zhao, Gongyun; Sun, Jie
8
2002
A note on the calculation of step-lengths in interior-point methods for semidefinite programming. Zbl 0994.90105
Toh, Kim-Chuan
3
2002
Computing the Sobolev regularity of refinable functions by the Arnoldi method. Zbl 1009.42025
Ron, Amos; Shen, Zuowei; Toh, Kim-Chuan
6
2001
Some new search directions for primal-dual interior point methods in semidefinite programming. Zbl 0990.90091
Toh, Kim-Chuan
5
2000
SDPT3 – a MATLAB software package for semidefinite programming, version 1. 3. Zbl 0997.90060
Toh, K. C.; Todd, M. J.; Tütüncü, R. H.
318
1999
The Kreiss matrix theorem on a general complex domain. Zbl 0946.65029
Toh, Kim-Chuan; Trefethen, Lloyd N.
17
1999
Primal-dual path-following algorithms for determinant maximization problems with linear matrix inequalities. Zbl 0961.90129
Toh, Kim-Chuan
9
1999
On the Nesterov-Todd direction in semidefinite programming. Zbl 0913.90217
Todd, M. J.; Toh, K. C.; Tütüncü, R. H.
85
1998
...and 6 more Documents
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Cited by 2,258 Authors

62 Toh, Kim Chuan
42 Sun, Defeng
19 Kim, Sunyoung
18 Kojima, Masakazu
17 Pan, Shaohua
16 Qi, Houduo
14 Ma, Shiqian
13 Lu, Zhaosong
13 Wen, Zaiwen
12 Bi, Shujun
12 Wolkowicz, Henry
12 Xiao, Yunhai
12 Xiu, Naihua
11 Boyd, Stephen Poythress
11 Li, Xudong
11 Zhang, Shuzhong
10 Ding, Chao
10 Hu, ShengLong
10 Huang, Zheng-Hai
10 Lasserre, Jean-Bernard
10 Li, Qingna
10 Liu, Sanyang
10 Mitchell, John E.
10 Monteiro, Renato D. C.
9 Cui, Ying
9 Ferronato, Massimiliano
9 Goldfarb, Donald
9 Han, Deren
9 Liu, Hongwei
9 Liu, Yong-Jin
9 Parrilo, Pablo A.
9 Yamashita, Makoto
9 Zhang, Liwei
8 Bai, Yanqin
8 Chandrasekaran, Venkat
8 Gondzio, Jacek
8 Kanno, Yoshihiro
8 Kheirfam, Behrouz
8 Peng, Jiming
8 Shen, Zuowei
8 Tran Dinh Quoc
8 Wang, Guoqiang
8 Yin, Wotao
8 Yu, Bo
7 Chen, Liang
7 de Klerk, Etienne
7 Farhood, Mazen
7 Gambolati, Giuseppe
7 Gillis, Nicolas
7 Gonçalves, Max L. N.
7 Li, Guoyin
7 Oliveira, Aurelio Ribeiro Leite
7 Pong, Ting Kei
7 Terlaky, Tamás
7 Tsuchiya, Takashi
7 Xu, Yangyang
7 Yildirim, Emre Alper
7 Yuan, Xiaoming
7 Zhang, Lei-Hong
7 Zhao, Xinyuan
6 Cai, Xingju
6 Chang, Xiaokai
6 Fukushima, Masao
6 Goulart, Paul J.
6 Jarre, Florian
6 Kong, Lingchen
6 Liu, Yafeng
6 Magron, Victor
6 Povh, Janez
6 Qi, Liqun
6 Rendl, Franz
6 Sun, Jie
6 Tunçel, Levent
6 Vandenberghe, Lieven
6 Wu, Zhongming
6 Yuan, Ya-xiang
6 Zhang, Su
5 Abou Jaoude, Dany
5 Açıkmeşe, Behçet
5 Beckermann, Bernhard
5 Burer, Samuel
5 Chen, Jein-Shan
5 Fantuzzi, Giovanni
5 Gemignani, Luca
5 Henrion, Didier
5 Huang, Ting-Zhu
5 Lavor, Carlile Campos
5 Lin, Tianyi
5 Luo, Hezhi
5 Melo, Jefferson G.
5 Mukherjee, Subrata
5 Muramatsu, Masakazu
5 Natarajan, Karthik
5 Nie, Jiawang
5 Okuno, Takayuki
5 Pang, Jong-Shi
5 Sadeghzadeh, Arash
5 Scheinberg, Katya
5 Sharma, Punit
5 Sim, Chee-Khian
...and 2,158 more Authors
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Cited in 239 Serials

115 Computational Optimization and Applications
103 Mathematical Programming. Series A. Series B
74 SIAM Journal on Optimization
57 Journal of Optimization Theory and Applications
48 Optimization Methods & Software
44 Journal of Global Optimization
36 Journal of Computational and Applied Mathematics
33 Automatica
31 Journal of Scientific Computing
27 SIAM Journal on Scientific Computing
27 Mathematical Programming Computation
26 Linear Algebra and its Applications
25 Numerical Algorithms
23 International Journal of Control
20 European Journal of Operational Research
20 Journal of the Operations Research Society of China
18 Optimization
15 Applied Mathematics and Computation
15 Mathematical Problems in Engineering
14 Journal of Machine Learning Research (JMLR)
14 Journal of Industrial and Management Optimization
14 SIAM Journal on Imaging Sciences
13 Optimization and Engineering
12 Mathematics of Computation
12 Applied Numerical Mathematics
12 Asia-Pacific Journal of Operational Research
12 International Journal of Computer Mathematics
12 Optimization Letters
11 Computer Methods in Applied Mechanics and Engineering
11 Mathematics of Operations Research
11 INFORMS Journal on Computing
10 Operations Research Letters
9 The Annals of Statistics
9 Machine Learning
9 Numerical Linear Algebra with Applications
9 Journal of Inequalities and Applications
8 Computers & Mathematics with Applications
8 SIAM Journal on Matrix Analysis and Applications
8 Inverse Problems and Imaging
7 Discrete Applied Mathematics
7 Inverse Problems
7 Journal of Computational Physics
7 Journal of the Franklin Institute
7 Numerical Functional Analysis and Optimization
7 Systems & Control Letters
7 Computers & Operations Research
7 Applied Mathematics Letters
7 Annals of Operations Research
7 International Journal of Robust and Nonlinear Control
7 Journal of Mathematical Imaging and Vision
7 Applied and Computational Harmonic Analysis
7 Advances in Computational Mathematics
7 Engineering Analysis with Boundary Elements
7 Journal of Applied Mathematics
7 SIAM Journal on Mathematics of Data Science
6 Information Sciences
6 International Journal for Numerical Methods in Engineering
6 Operations Research
6 Computational Statistics and Data Analysis
6 Abstract and Applied Analysis
6 Mathematical Methods of Operations Research
6 Journal of Applied Mathematics and Computing
5 Journal of Mathematical Analysis and Applications
5 BIT
5 Calcolo
5 Journal of the American Statistical Association
5 Numerische Mathematik
5 Circuits, Systems, and Signal Processing
5 Japan Journal of Industrial and Applied Mathematics
5 Applied Mathematical Modelling
5 International Journal of Computer Vision
5 Computational and Applied Mathematics
5 Foundations of Computational Mathematics
5 Set-Valued and Variational Analysis
5 Science China. Mathematics
5 Numerical Algebra, Control and Optimization
4 Journal of Fluid Mechanics
4 SIAM Journal on Control and Optimization
4 Acta Mathematicae Applicatae Sinica. English Series
4 Automation and Remote Control
4 Physics of Fluids
4 European Journal of Control
4 Journal of Combinatorial Optimization
4 Journal of Systems Science and Complexity
4 Asian Journal of Control
3 Journal of Approximation Theory
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 SIAM Journal on Numerical Analysis
3 Journal of Symbolic Computation
3 Constructive Approximation
3 Computational Mechanics
3 Mathematical and Computer Modelling
3 Neural Computation
3 Pattern Recognition
3 Top
3 Statistica Sinica
3 Multiscale Modeling & Simulation
3 4OR
3 Nonlinear Analysis. Hybrid Systems
3 Electronic Journal of Statistics
...and 139 more Serials
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Cited in 49 Fields

1,028 Operations research, mathematical programming (90-XX)
527 Numerical analysis (65-XX)
127 Linear and multilinear algebra; matrix theory (15-XX)
126 Calculus of variations and optimal control; optimization (49-XX)
124 Systems theory; control (93-XX)
119 Computer science (68-XX)
117 Statistics (62-XX)
72 Information and communication theory, circuits (94-XX)
43 Mechanics of deformable solids (74-XX)
37 Operator theory (47-XX)
32 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
27 Combinatorics (05-XX)
26 Partial differential equations (35-XX)
26 Fluid mechanics (76-XX)
23 Biology and other natural sciences (92-XX)
22 Convex and discrete geometry (52-XX)
19 Real functions (26-XX)
18 Algebraic geometry (14-XX)
18 Functions of a complex variable (30-XX)
16 Harmonic analysis on Euclidean spaces (42-XX)
16 Probability theory and stochastic processes (60-XX)
15 Field theory and polynomials (12-XX)
11 Approximations and expansions (41-XX)
10 Commutative algebra (13-XX)
10 Ordinary differential equations (34-XX)
8 Functional analysis (46-XX)
7 Quantum theory (81-XX)
6 Dynamical systems and ergodic theory (37-XX)
5 Optics, electromagnetic theory (78-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Nonassociative rings and algebras (17-XX)
4 Integral equations (45-XX)
4 Mechanics of particles and systems (70-XX)
4 Geophysics (86-XX)
3 Number theory (11-XX)
3 Potential theory (31-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 History and biography (01-XX)
2 Mathematical logic and foundations (03-XX)
2 General algebraic systems (08-XX)
2 Measure and integration (28-XX)
1 Associative rings and algebras (16-XX)
1 Special functions (33-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mathematics education (97-XX)

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