## Toh, Kim Chuan

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 Author ID: toh.kimchuan Published as: Toh, Kim-Chuan; Toh, K. C.; Chuan, Toh Kim; Toh, Kim Chuan; Toh, Kimchuan; Toh, K.-C. more...less Homepage: https://blog.nus.edu.sg/mattohkc/ External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp
 Documents Indexed: 124 Publications since 1991 1 Contribution as Editor Co-Authors: 80 Co-Authors with 114 Joint Publications 3,221 Co-Co-Authors
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### Co-Authors

 8 single-authored 48 Sun, Defeng 11 Kojima, Masakazu 10 Kim, Sunyoung 9 Li, Xudong 6 Phoon, Kok-Kwang 6 Sun, Jie 5 Chen, Liang 5 Todd, Michael J. 5 Trefethen, Lloyd Nicholas 5 Tütüncü, Reha H. 5 Zhou, Guanglu 4 Cui, Ying 4 Ding, Chao 4 Yun, Sangwoon 4 Zhao, Gongyun 3 Arima, Naohiko 3 Chan, Swee-Huat 3 Ito, Naoki 3 Jiang, Kaifeng 3 Li, Lu 3 Liang, Ling 3 Liu, Yong-Jin 3 Shen, Zuowei 3 Takeda, Akiko 3 Yang, Liuqin 3 Yuan, Yancheng 3 Zhang, Yangjing 3 Zhao, Xinyuan 2 Chai, Joo-Siong 2 Lasserre, Jean-Bernard 2 Lee, Fook-Hou 2 Lin, Meixia 2 Natarajan, Karthik 2 Shi, Dongjian 2 Wang, Chengjing 2 Xiu, Naihua 2 Yang, Lei 1 Anderssen, Robert Scott 1 Bian, Wei 1 Biswas, Pratik 1 Cai, Zhi 1 Chang, Tsung-Hui 1 Chen, Caihua 1 Cheng, Jin 1 Cheong, LoongFah 1 Doan, Xuan Vinh 1 Driscoll, Tobin A. 1 Fang, Ethan X. 1 Fang, Xingyuan 1 Freund, Robert M. 1 Fukumoto, Yasuhide 1 Gong, Zheng 1 Hu, ShengLong 1 Lam, Xin Yee 1 Lam, Yee Cheong 1 Lee, Choon Meng 1 Leung, Ngai-Hang Zachary 1 Liu, Han 1 Liu, Xinwei 1 Luo, Hezhi 1 Luo, ZiYan 1 Marron, James Stephen 1 McKibbin, Robert 1 Mukherjee, Subrata 1 Ordóñez, Fernando 1 Peng, Jiming 1 Polthier, Konrad 1 Ron, Amos 1 Takagi, Tsuyoshi 1 Tang, Peipei 1 Tran Dinh Quoc 1 Tseng, Paul 1 Vavasis, Stephen A. 1 Wakayama, Masato 1 Weißer, Tillmann 1 Wu, Bin 1 Yang, Junfeng 1 Yang, Shouguang 1 Yap, Yit Fatt 1 Ye, Yinyu 1 Zhou, Wen-Xin 1 Zhu, Tao
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### Serials

 27 SIAM Journal on Optimization 19 Mathematical Programming. Series A. Series B 10 Computational Optimization and Applications 6 Pacific Journal of Optimization 6 Mathematical Programming Computation 5 SIAM Journal on Matrix Analysis and Applications 5 Journal of Machine Learning Research (JMLR) 4 SIAM Journal on Scientific Computing 4 Optimization Methods & Software 3 International Journal for Numerical Methods in Engineering 3 Journal of Optimization Theory and Applications 3 Mathematics of Operations Research 2 International Journal of Heat and Mass Transfer 2 International Journal for Numerical and Analytical Methods in Geomechanics 2 Journal of Global Optimization 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Solids and Structures 1 ACM Transactions on Mathematical Software 1 Journal of Computational and Applied Mathematics 1 Numerische Mathematik 1 Operations Research 1 Journal of Computational Mathematics 1 Asia-Pacific Journal of Operational Research 1 SIAM Review 1 International Journal of Computer Vision 1 Journal on Numerical Methods and Computer Applications 1 RIMS Kokyuroku 1 Multiscale Modeling & Simulation 1 Mathematical Medley 1 SIAM Journal on Imaging Sciences 1 Journal of Math-for-Industry 1 Journal of Computational and Graphical Statistics 1 EURO Journal on Computational Optimization 1 Mathematics for Industry 1 SIAM Journal on Mathematics of Data Science
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### Fields

 98 Operations research, mathematical programming (90-XX) 61 Numerical analysis (65-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 Statistics (62-XX) 9 Computer science (68-XX) 7 Mechanics of deformable solids (74-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Fluid mechanics (76-XX) 4 Biology and other natural sciences (92-XX) 4 Information and communication theory, circuits (94-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX)

### 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.
1999
Solving semidefinite-quadratic-linear programs using SDPT3. Zbl 1030.90082
Tütüncü, R. H.; Toh, K. C.; Todd, M. J.
2003
A Newton-CG augmented Lagrangian method for semidefinite programming. Zbl 1213.90175
Zhao, Xin-Yuan; Sun, Defeng; Toh, Kim-Chuan
2010
An accelerated proximal gradient algorithm for nuclear norm regularized linear least squares problems. Zbl 1205.90218
Toh, Kim-Chuan; Yun, Sangwoon
2010
On the Nesterov-Todd direction in semidefinite programming. Zbl 0913.90217
Todd, M. J.; Toh, K. C.; Tütüncü, R. H.
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
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
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
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
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.
2012
Superlinear convergence of a Newton-type algorithm for monotone equations. Zbl 1114.65055
Zhou, G.; Toh, K. C.
2005
An inexact primal-dual path following algorithm for convex quadratic SDP. Zbl 1136.90027
Toh, Kim-Chuan
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
2015
An implementable proximal point algorithmic framework for nuclear norm minimization. Zbl 1262.90125
Liu, Yong-Jin; Sun, Defeng; Toh, Kim-Chuan
2012
A highly efficient semismooth Newton augmented Lagrangian method for solving lasso problems. Zbl 1392.65062
Li, Xudong; Sun, Defeng; Toh, Kim-Chuan
2018
An inexact accelerated proximal gradient method for large scale linearly constrained convex SDP. Zbl 1401.90120
Jiang, Kaifeng; Sun, Defeng; Toh, Kim-Chuan
2012
A majorized ADMM with indefinite proximal terms for linearly constrained convex composite optimization. Zbl 1338.90305
Li, Min; Sun, Defeng; Toh, Kim-Chuan
2016
Pseudozeros of polynomials and pseudospectra of companion matrices. Zbl 0808.65053
Toh, Kim-Chuan; Trefethen, Lloyd N.
1994
An introduction to a class of matrix cone programming. Zbl 1301.65043
Ding, Chao; Sun, Defeng; Toh, Kim-Chuan
2014
Solving large scale semidefinite programs via an iterative solver on the augmented systems. Zbl 1071.90026
Toh, Kim-Chuan
2003
From potential theory to matrix iterations in six steps. Zbl 0930.65020
Driscoll, Tobin A.; Toh, Kim-Chuan; Trefethen, Lloyd N.
1998
Calculation of pseudospectra by the Arnoldi iteration. Zbl 0842.65022
Toh, Kim-Chuan; Trefethen, Lloyd N.
1996
A coordinate gradient descent method for $$\ell_{1}$$-regularized convex minimization. Zbl 1220.90092
Yun, Sangwoon; Toh, Kim-Chuan
2011
Solving log-determinant optimization problems by a Newton-CG primal proximal point algorithm. Zbl 1211.90130
Wang, Chengjing; Sun, Defeng; Toh, Kim-Chuan
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
2016
A bounded degree SOS hierarchy for polynomial optimization. Zbl 1368.90132
Lasserre, Jean B.; Toh, Kim-Chuan; Yang, Shouguang
2017
An inexact interior point method for $$L_{1}$$-regularized sparse covariance selection. Zbl 1208.90131
Li, Lu; Toh, Kim-Chuan
2010
QSDPNAL: a two-phase augmented Lagrangian method for convex quadratic semidefinite programming. Zbl 1411.90213
Li, Xudong; Sun, Defeng; Toh, Kim-Chuan
2018
Block preconditioners for symmetric indefinite linear systems. Zbl 1065.65064
Toh, Kim-Chuan; Phoon, Kok-Kwang; Chan, Swee-Huat
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.
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
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.
2002
Solving some large scale semidefinite programs via the conjugate residual method. Zbl 1008.90043
Toh, Kim-Chuan; Kojima, Masakazu
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
2011
The Kreiss matrix theorem on a general complex domain. Zbl 0946.65029
Toh, Kim-Chuan; Trefethen, Lloyd N.
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
2018
Efficient algorithms for the smallest enclosing ball problem. Zbl 1112.90060
Zhou, Guanglu; Toh, Kim-Chuan; Sun, Jie
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
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
2018
A note on the convergence of ADMM for linearly constrained convex optimization problems. Zbl 1367.90083
Chen, Liang; Sun, Defeng; Toh, Kim-Chuan
2017
A modified SSOR preconditioner for sparse symmetric indefinite linear systems of equations. Zbl 1114.74056
Chen, X.; Toh, K. C.; Phoon, K. K.
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
2007
A proximal point algorithm for log-determinant optimization with group Lasso regularization. Zbl 1285.65037
Yang, Junfeng; Sun, Defeng; Toh, Kim-Chuan
2013
Hypersingular and finite part integrals in the boundary element method. Zbl 0946.74584
Toh, Kim-Chuan; Mukherjee, Subrata
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
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
2008
Image restoration with mixed or unknown noises. Zbl 1380.94021
Gong, Zheng; Shen, Zuowei; Toh, Kim-Chuan
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
2014
Spectral operators of matrices. Zbl 1411.90264
Ding, Chao; Sun, Defeng; Sun, Jie; Toh, Kim-Chuan
2018
The Chebyshev polynomials of a matrix. Zbl 0922.65019
Toh, Kim-Chuan; Trefethen, Lloyd N.
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
2019
A partial proximal point algorithm for nuclear norm regularized matrix least squares problems. Zbl 1327.90109
Jiang, Kaifeng; Sun, Defeng; Toh, Kim-Chuan
2014
An efficient inexact ABCD method for least squares semidefinite programming. Zbl 1346.90658
Sun, Defeng; Toh, Kim-Chuan; Yang, Liuqin
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
2019
Primal-dual path-following algorithms for determinant maximization problems with linear matrix inequalities. Zbl 0961.90129
Toh, Kim-Chuan
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
2013
Numerical computation of fluid flow and heat transfer in microchannels. Zbl 1008.76519
Toh, K. C.; Chen, X. Y.; Chai, J. C.
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
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
2016
An analytic center cutting plane method for semidefinite feasibility problems. Zbl 1082.90555
Sun, Jie; Toh, Kim-Chuan; Zhao, Gongyun
2002
Efficient sparse semismooth Newton methods for the clustered Lasso problem. Zbl 1427.90200
Lin, Meixia; Liu, Yong-Jin; Sun, Defeng; Toh, Kim-Chuan
2019
A multiple-cut analytic center cutting plane method for semidefinite feasibility problems. Zbl 1012.65056
Toh, Kim-Chuan; Zhao, Gongyun; Sun, Jie
2002
GMRES vs. ideal GMRES. Zbl 0877.65014
Toh, Kim-Chuan
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
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
2015
Polynomiality of an inexact infeasible interior point algorithm for semidefinite programming. Zbl 1098.90051
Zhou, Guanglu; Toh, Kim-Chuan
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
2020
Spectral operators of matrices: semismoothness and characterizations of the generalized Jacobian. Zbl 1434.49007
Ding, Chao; Sun, Defeng; Sun, Jie; Toh, Kim-Chuan
2020
Computing the Sobolev regularity of refinable functions by the Arnoldi method. Zbl 1009.42025
Ron, Amos; Shen, Zuowei; Toh, Kim-Chuan
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
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.
2005
A probabilistic model for minmax regret in combinatorial optimization. Zbl 1291.90208
Natarajan, Karthik; Shi, Dongjian; Toh, Kim-Chuan
2014
A polynomial-time inexact interior-point method for convex quadratic symmetric cone programming. Zbl 1279.90126
Li, Lu; Toh, Kim-Chuan
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
2019
Some new search directions for primal-dual interior point methods in semidefinite programming. Zbl 0990.90091
Toh, Kim-Chuan
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
2009
Using a distributed SDP approach to solve simulated protein molecular conformation problems. Zbl 1271.68233
Fang, Xingyuan; Toh, Kim-Chuan
2013
A polynomial-time inexact primal-dual infeasible path-following algorithm for convex quadratic SDP. Zbl 1247.90211
Li, Lu; Toh, Kim-Chuan
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
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
2020
Max-norm optimization for robust matrix recovery. Zbl 1414.90265
Fang, Ethan X.; Liu, Han; Toh, Kim-Chuan; Zhou, Wen-Xin
2018
A unified formulation and fast accelerated proximal gradient method for classification. Zbl 1433.68351
Ito, Naoki; Takeda, Akiko; Toh, Kim-Chuan
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
2011
An asymptotically superlinearly convergent semismooth Newton augmented Lagrangian method for linear programming. Zbl 1450.90007
Li, Xudong; Sun, Defeng; Toh, Kim-Chuan
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
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
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
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.
2007
A note on the calculation of step-lengths in interior-point methods for semidefinite programming. Zbl 0994.90105
Toh, Kim-Chuan
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
2003
Solving second order cone programming via a reduced augmented system approach. Zbl 1128.90045
Cai, Zhi; Toh, Kim-Chuan
2006
A proximal point algorithm for sequential feature extraction applications. Zbl 1277.65044
Doan, Xuan Vinh; Toh, Kim-Chuan; Vavasis, Stephen
2013
Fast algorithms for large-scale generalized distance weighted discrimination. Zbl 07498954
Lam, Xin Yee; Marron, J. S.; Sun, Defeng; Toh, Kim-Chuan
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
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
2019
A geometrical analysis on convex conic reformulations of quadratic and polynomial optimization problems. Zbl 1491.90112
Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan
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
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
2021
Convex clustering: model, theoretical guarantee and efficient algorithm. Zbl 07370526
Sun, Defeng; Toh, Kim-Chuan; Yuan, Yancheng
2021
Computation of condition numbers for linear programming problems using Peña’s method. Zbl 1136.90540
Chai, Joo-Siong; Toh, Kim-Chuan
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
2021
Convex clustering: model, theoretical guarantee and efficient algorithm. Zbl 07370526
Sun, Defeng; Toh, Kim-Chuan; Yuan, Yancheng
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
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
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
2020
Spectral operators of matrices: semismoothness and characterizations of the generalized Jacobian. Zbl 1434.49007
Ding, Chao; Sun, Defeng; Sun, Jie; Toh, Kim-Chuan
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
2020
An asymptotically superlinearly convergent semismooth Newton augmented Lagrangian method for linear programming. Zbl 1450.90007
Li, Xudong; Sun, Defeng; Toh, Kim-Chuan
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
2020
A geometrical analysis on convex conic reformulations of quadratic and polynomial optimization problems. Zbl 1491.90112
Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan
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
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
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
2019
Efficient sparse semismooth Newton methods for the clustered Lasso problem. Zbl 1427.90200
Lin, Meixia; Liu, Yong-Jin; Sun, Defeng; Toh, Kim-Chuan
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
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
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
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
2019
Best nonnegative rank-one approximations of tensors. Zbl 1454.90047
Hu, Shenglong; Sun, Defeng; Toh, Kim-Chuan
2019
Lagrangian-conic relaxations. II: Applications to polynomial optimization problems. Zbl 1454.90041
Arima, Naohiko; Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan
2019
A highly efficient semismooth Newton augmented Lagrangian method for solving lasso problems. Zbl 1392.65062
Li, Xudong; Sun, Defeng; Toh, Kim-Chuan
2018
QSDPNAL: a two-phase augmented Lagrangian method for convex quadratic semidefinite programming. Zbl 1411.90213
Li, Xudong; Sun, Defeng; Toh, Kim-Chuan
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
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
2018
Spectral operators of matrices. Zbl 1411.90264
Ding, Chao; Sun, Defeng; Sun, Jie; Toh, Kim-Chuan
2018
Max-norm optimization for robust matrix recovery. Zbl 1414.90265
Fang, Ethan X.; Liu, Han; Toh, Kim-Chuan; Zhou, Wen-Xin
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
2018
Fast algorithms for large-scale generalized distance weighted discrimination. Zbl 07498954
Lam, Xin Yee; Marron, J. S.; Sun, Defeng; Toh, Kim-Chuan
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.
2018
Bounds for random binary quadratic programs. Zbl 1396.90046
Natarajan, Karthik; Shi, Dongjian; Toh, Kim-Chuan
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
2017
A bounded degree SOS hierarchy for polynomial optimization. Zbl 1368.90132
Lasserre, Jean B.; Toh, Kim-Chuan; Yang, Shouguang
2017
A note on the convergence of ADMM for linearly constrained convex optimization problems. Zbl 1367.90083
Chen, Liang; Sun, Defeng; Toh, Kim-Chuan
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
2017
A unified formulation and fast accelerated proximal gradient method for classification. Zbl 1433.68351
Ito, Naoki; Takeda, Akiko; Toh, Kim-Chuan
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
2016
A majorized ADMM with indefinite proximal terms for linearly constrained convex composite optimization. Zbl 1338.90305
Li, Min; Sun, Defeng; Toh, Kim-Chuan
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
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
2016
An efficient inexact ABCD method for least squares semidefinite programming. Zbl 1346.90658
Sun, Defeng; Toh, Kim-Chuan; Yang, Liuqin
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
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
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
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
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
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
2015
An introduction to a class of matrix cone programming. Zbl 1301.65043
Ding, Chao; Sun, Defeng; Toh, Kim-Chuan
2014
Image restoration with mixed or unknown noises. Zbl 1380.94021
Gong, Zheng; Shen, Zuowei; Toh, Kim-Chuan
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
2014
A partial proximal point algorithm for nuclear norm regularized matrix least squares problems. Zbl 1327.90109
Jiang, Kaifeng; Sun, Defeng; Toh, Kim-Chuan
2014
A probabilistic model for minmax regret in combinatorial optimization. Zbl 1291.90208
Natarajan, Karthik; Shi, Dongjian; Toh, Kim-Chuan
2014
A proximal point algorithm for log-determinant optimization with group Lasso regularization. Zbl 1285.65037
Yang, Junfeng; Sun, Defeng; Toh, Kim-Chuan
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
2013
Using a distributed SDP approach to solve simulated protein molecular conformation problems. Zbl 1271.68233
Fang, Xingyuan; Toh, Kim-Chuan
2013
A proximal point algorithm for sequential feature extraction applications. Zbl 1277.65044
Doan, Xuan Vinh; Toh, Kim-Chuan; Vavasis, Stephen
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.
2012
An implementable proximal point algorithmic framework for nuclear norm minimization. Zbl 1262.90125
Liu, Yong-Jin; Sun, Defeng; Toh, Kim-Chuan
2012
An inexact accelerated proximal gradient method for large scale linearly constrained convex SDP. Zbl 1401.90120
Jiang, Kaifeng; Sun, Defeng; Toh, Kim-Chuan
2012
A coordinate gradient descent method for $$\ell_{1}$$-regularized convex minimization. Zbl 1220.90092
Yun, Sangwoon; Toh, Kim-Chuan
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
2011
A polynomial-time inexact primal-dual infeasible path-following algorithm for convex quadratic SDP. Zbl 1247.90211
Li, Lu; Toh, Kim-Chuan
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
2011
A Newton-CG augmented Lagrangian method for semidefinite programming. Zbl 1213.90175
Zhao, Xin-Yuan; Sun, Defeng; Toh, Kim-Chuan
2010
An accelerated proximal gradient algorithm for nuclear norm regularized linear least squares problems. Zbl 1205.90218
Toh, Kim-Chuan; Yun, Sangwoon
2010
Solving log-determinant optimization problems by a Newton-CG primal proximal point algorithm. Zbl 1211.90130
Wang, Chengjing; Sun, Defeng; Toh, Kim-Chuan
2010
An inexact interior point method for $$L_{1}$$-regularized sparse covariance selection. Zbl 1208.90131
Li, Lu; Toh, Kim-Chuan
2010
A polynomial-time inexact interior-point method for convex quadratic symmetric cone programming. Zbl 1279.90126
Li, Lu; Toh, Kim-Chuan
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
2009
An inexact primal-dual path following algorithm for convex quadratic SDP. Zbl 1136.90027
Toh, Kim-Chuan
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
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
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.
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
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
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.
2007
A modified SSOR preconditioner for sparse symmetric indefinite linear systems of equations. Zbl 1114.74056
Chen, X.; Toh, K. C.; Phoon, K. K.
2006
Solving second order cone programming via a reduced augmented system approach. Zbl 1128.90045
Cai, Zhi; Toh, Kim-Chuan
2006
Computation of condition numbers for linear programming problems using Peña’s method. Zbl 1136.90540
Chai, Joo-Siong; Toh, Kim-Chuan
2006
Superlinear convergence of a Newton-type algorithm for monotone equations. Zbl 1114.65055
Zhou, G.; Toh, K. C.
2005
Efficient algorithms for the smallest enclosing ball problem. Zbl 1112.90060
Zhou, Guanglu; Toh, Kim-Chuan; Sun, Jie
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.
2005
Block preconditioners for symmetric indefinite linear systems. Zbl 1065.65064
Toh, Kim-Chuan; Phoon, Kok-Kwang; Chan, Swee-Huat
2004
Polynomiality of an inexact infeasible interior point algorithm for semidefinite programming. Zbl 1098.90051
Zhou, Guanglu; Toh, Kim-Chuan
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
2004
Solving semidefinite-quadratic-linear programs using SDPT3. Zbl 1030.90082
Tütüncü, R. H.; Toh, K. C.; Todd, M. J.
2003
Solving large scale semidefinite programs via an iterative solver on the augmented systems. Zbl 1071.90026
Toh, Kim-Chuan
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
2003
Globally and quadratically convergent algorithm for minimizing the sum of Euclidean norms. Zbl 1055.90057
Zhou, G.; Toh, K. C.; Sun, D.
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.
2002
Solving some large scale semidefinite programs via the conjugate residual method. Zbl 1008.90043
Toh, Kim-Chuan; Kojima, Masakazu
2002
Numerical computation of fluid flow and heat transfer in microchannels. Zbl 1008.76519
Toh, K. C.; Chen, X. Y.; Chai, J. C.
2002
An analytic center cutting plane method for semidefinite feasibility problems. Zbl 1082.90555
Sun, Jie; Toh, Kim-Chuan; Zhao, Gongyun
2002
A multiple-cut analytic center cutting plane method for semidefinite feasibility problems. Zbl 1012.65056
Toh, Kim-Chuan; Zhao, Gongyun; Sun, Jie
2002
A note on the calculation of step-lengths in interior-point methods for semidefinite programming. Zbl 0994.90105
Toh, Kim-Chuan
2002
Computing the Sobolev regularity of refinable functions by the Arnoldi method. Zbl 1009.42025
Ron, Amos; Shen, Zuowei; Toh, Kim-Chuan
2001
Some new search directions for primal-dual interior point methods in semidefinite programming. Zbl 0990.90091
Toh, Kim-Chuan
2000
SDPT3 – a MATLAB software package for semidefinite programming, version 1. 3. Zbl 0997.90060
Toh, K. C.; Todd, M. J.; Tütüncü, R. H.
1999
The Kreiss matrix theorem on a general complex domain. Zbl 0946.65029
Toh, Kim-Chuan; Trefethen, Lloyd N.
1999
Primal-dual path-following algorithms for determinant maximization problems with linear matrix inequalities. Zbl 0961.90129
Toh, Kim-Chuan
1999
On the Nesterov-Todd direction in semidefinite programming. Zbl 0913.90217
Todd, M. J.; Toh, K. C.; Tütüncü, R. H.
1998
...and 6 more Documents
all top 5

### 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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