# zbMATH — the first resource for mathematics

## Sun, Defeng

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 Author ID: sun.defeng Published as: Sun, Defeng; Sun, D.; Sen, D.; Sen, Defeng External Links: ORCID
 Documents Indexed: 132 Publications since 1981
all top 5

#### Co-Authors

 9 single-authored 43 Toh, Kimchuan 21 Qi, Liqun 13 Sun, Jie 10 Han, Jiye 9 Li, Xudong 6 Ding, Chao 5 Chen, Liang 5 Cui, Ying 5 Qi, Houduo 4 Zhou, Guanglu 3 Huang, Zheng-Hai 3 Jiang, Kaifeng 3 Liu, Yong-Jin 3 Yang, Liuqin 3 Zhang, Liwei 3 Zhang, Yangjing 2 Baldacci, Roberto 2 Fukushima, Masao 2 Han, Deren 2 Jiang, Houyuan 2 Liu, Guanghui 2 Mifflin, Robert 2 Outrata, Jiří V. 2 Pan, Shaohua 2 Polak, Elijah (Lucien) 2 Sengupta, Shyamal 2 Tang, Lixin 2 Wang, Chengjing 2 Womersley, Robert S. 2 Yin, Hongxia 2 Yuan, Yancheng 2 Zhao, Gongyun 2 Zhao, Xinyuan 2 Zhao, Yunbin 1 Bai, Zhengjian 1 Basu, A. N. 1 Bi, Shujun 1 Chakraborty, Mihir Kumar 1 Chan, Zi Xian 1 Chen, Caihua 1 Chen, Jein-Shan 1 Chen, Xiaojun 1 Chen, Xiongda 1 Chu, Delin 1 Dai, Yu-Hong 1 Fazel, Maryam 1 Fritsch, I. 1 Gao, Yan 1 Hu, ShengLong 1 Isaac, Kakkattukuzhy M. 1 Leng, Chenlei 1 Leventis, N. 1 Li, Xun 1 Liang, Ling 1 Lim, Andrew E. B. 1 Lin, Meixia 1 Luo, ZiYan 1 Meng, Fanwen 1 Miao, Weimin 1 Mody, S. M. S. 1 Mruthyunjaya, T. S. 1 Pang, Jong-Shi 1 Pong, Ting Kei 1 Potra, Florian-Alexandru 1 Rilett, Laurence R. 1 Selvam, A. Mary 1 Tang, Peipei 1 Tseng, Paul 1 Wang, Jinde 1 Wu, Bin 1 Xiu, Naihua 1 Xu, Dachuan 1 Xu, Dachun 1 Yang, Junfeng 1 Ye, Jane J. 1 Yuan, Ya-xiang
all top 5

#### Serials

 26 SIAM Journal on Optimization 20 Mathematical Programming. Series A. Series B 6 Computational Optimization and Applications 5 Journal of Optimization Theory and Applications 5 Mathematics of Operations Research 4 SIAM Journal on Matrix Analysis and Applications 4 Journal of Machine Learning Research (JMLR) 4 Mathematical Programming Computation 3 Journal of Computational Mathematics 2 Mathematics of Computation 2 Journal of Computational and Applied Mathematics 2 Operations Research Letters 2 Journal of Qufu Normal University. Natural Science 2 Asia-Pacific Journal of Operational Research 2 European Journal of Operational Research 2 Chinese Journal of Numerical Mathematics and Applications 2 Transactions of A. Razmadze Mathematical Institute 1 Helvetica Physica Acta 1 IMA Journal of Numerical Analysis 1 International Journal of Heat and Mass Transfer 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Optimization 1 Biometrical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Numerical Mathematics 1 Mathematica Numerica Sinica 1 Acta Mathematicae Applicatae Sinica 1 International Journal of Production Research 1 Journal of Nanjing University. Mathematical Biquarterly 1 Acta Mathematicae Applicatae Sinica. English Series 1 Optimization 1 Ganit 1 Computers & Operations Research 1 Computational Statistics and Data Analysis 1 Chinese Science Bulletin 1 SIAM Journal on Scientific Computing 1 Set-Valued Analysis 1 Journal on Numerical Methods and Computer Applications 1 Optimization Methods & Software 1 Mechanism and Machine Theory 1 Journal of Shenyang Normal University. Natural Science Edition 1 Foundations of Physics Letters 1 Pacific Journal of Optimization 1 Set-Valued and Variational Analysis 1 SIAM Journal on Mathematics of Data Science
all top 5

#### Fields

 106 Operations research, mathematical programming (90-XX) 69 Numerical analysis (65-XX) 32 Calculus of variations and optimal control; optimization (49-XX) 7 Statistics (62-XX) 5 Computer science (68-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Quantum theory (81-XX) 2 Real functions (26-XX) 2 General topology (54-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

107 Publications have been cited 2,872 times in 1,452 Documents Cited by Year
A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities. Zbl 0989.90124
Qi, Liqun; Sun, Defeng; Zhou, Guanglu
2000
Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities. Zbl 0894.90143
Chen, X.; Qi, L.; Sun, D.
1998
A Newton-CG augmented Lagrangian method for semidefinite programming. Zbl 1213.90175
Zhao, Xin-Yuan; Sun, Defeng; Toh, Kim-Chuan
2010
Complementarity functions and numerical experiments on some smoothing Newton methods for second-order-cone complementarity problems. Zbl 1038.90084
Chen, X. D.; Sun, D.; Sun, J.
2003
Hankel matrix rank minimization with applications to system identification and realization. Zbl 1302.90127
Fazel, Maryam; Pong, Ting Kei; Sun, Defeng; Tseng, Paul
2013
Semismooth matrix-valued functions. Zbl 1082.49501
Sun, Defeng; Sun, Jie
2002
A quadratically convergent Newton method for computing the nearest correlation matrix. Zbl 1120.65049
Qi, Houduo; Sun, Defeng
2006
Löwner’s operator and spectral functions in Euclidean Jordan algebras. Zbl 1218.90197
Sun, Defeng; Sun, Jie
2008
The strong second-order sufficient condition and constraint nondegeneracy in nonlinear semidefinite programming and their implications. Zbl 1278.90304
Sun, Defeng
2006
A class of iterative methods for solving nonlinear projection equations. Zbl 0871.90091
Sun, D.
1996
On NCP-functions. Zbl 1040.90544
Sun, Defeng; Qi, Liqun
1999
Semismooth homeomorphisms and strong stability of semidefinite and Lorentz complementarity problems. Zbl 1082.90115
Pang, Jong-Shi; Sun, Defeng; Sun, Jie
2003
Convergence properties of nonlinear conjugate gradient methods. Zbl 0957.65062
Dai, Yuhong; Han, Jiye; Liu, Guanghui; Sun, Defeng; Yin, Hongxia; Yuan, Ya-Xiang
1999
Strong semismoothness of the Fischer-Burmeister SDC and SOC complementarity functions. Zbl 1099.90062
Sun, Defeng; Sun, Jie
2005
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
The rate of convergence of the augmented Lagrangian method for nonlinear semidefinite programming. Zbl 1190.90117
Sun, Defeng; Sun, Jie; Zhang, Liwei
2008
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
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
Improving the convergence of non-interior point algorithms for nonlinear complementarity problems. Zbl 0947.90117
Qi, Liqun; Sun, Defeng
2000
Sub-quadratic convergence of a smoothing Newton algorithm for the $$P_0$$- and monotone LCP. Zbl 1168.90646
Huang, Zheng-Hai; Qi, Liqun; Sun, Defeng
2004
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
Smoothing functions and smoothing Newton method for complementarity and variational inequality problems. Zbl 1032.49017
Qi, L.; Sun, D.
2002
Newton and quasi-Newton methods for a class of nonsmooth equations and related problems. Zbl 0872.90087
Sun, Defeng; Han, Jiye
1997
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
A regularization Newton method for solving nonlinear complementarity problems. Zbl 0937.90110
Sun, D.
1999
An implementable proximal point algorithmic framework for nuclear norm minimization. Zbl 1262.90125
Liu, Yong-Jin; Sun, Defeng; Toh, Kim-Chuan
2012
A squared smoothing Newton method for nonsmooth matrix equations and its applications in semidefinite optimization problems. Zbl 1079.90094
Sun, Jie; Sun, Defeng; Qi, Liqun
2004
A trust region method for solving generalized complementarity problems. Zbl 0911.90324
Jiang, Houyuan; Fukushima, Masao; Qi, Liqun; Sun, Defeng
1998
An inexact accelerated proximal gradient method for large scale linearly constrained convex SDP. Zbl 1401.90120
Jiang, Kaifeng; Sun, Defeng; Toh, Kim-Chuan
2012
On the coderivative of the projection operator onto the second-order cone. Zbl 1161.49011
Outrata, Jiří V.; Sun, Defeng
2008
A survey of some nonsmooth equations and smoothing Newton methods. Zbl 0957.65042
Qi, L.; Sun, D.
1999
Constraint nondegeneracy, strong regularity, and nonsingularity in semidefinite programming. Zbl 1190.90116
Chan, Zi Xian; Sun, Defeng
2008
Semismoothness of solutions to generalized equations and the Moreau-Yosida regularization. Zbl 1093.90059
Meng, Fanwen; Sun, Defeng; Zhao, Gongyun
2005
Secant methods for semismooth equations. Zbl 0914.65051
Potra, Florian A.; Qi, Liqun; Sun, Defeng
1998
A feasible semismooth asymptotically Newton method for mixed complementarity problems. Zbl 1023.90068
Sun, Defeng; Womersley, Robert S.; Qi, Houduo
2002
A majorized ADMM with indefinite proximal terms for linearly constrained convex composite optimization. Zbl 1338.90305
Li, Min; Sun, Defeng; Toh, Kim-Chuan
2016
Calibrating least squares semidefinite programming with equality and inequality constraints. Zbl 1201.49031
Gao, Yan; Sun, Defeng
2010
First order optimality conditions for mathematical programs with semidefinite cone complementarity constraints. Zbl 1301.49036
Ding, Chao; Sun, Defeng; Ye, Jane J.
2014
Solving log-determinant optimization problems by a Newton-CG primal proximal point algorithm. Zbl 1211.90130
Wang, Chengjing; Sun, Defeng; Toh, Kim-Chuan
2010
Strong semismoothness of eigenvalues of symmetric matrices and its application to inverse eigenvalue problems. Zbl 1041.65037
Sun, Defeng; Sun, Jie
2003
An introduction to a class of matrix cone programming. Zbl 1301.65043
Ding, Chao; Sun, Defeng; Toh, Kim-Chuan
2014
A highly efficient semismooth Newton augmented Lagrangian method for solving lasso problems. Zbl 1392.65062
Li, Xudong; Sun, Defeng; Toh, Kim-Chuan
2018
A projection and contraction method for the nonlinear complementarity problem and its extensions. Zbl 0900.65188
Sun, Defeng
1994
Global convergence of the BFGS algorithm with nonmonotone linesearch. Zbl 0858.90122
Liu, G.; Han, J.; Sun, D.
1995
An augmented Lagrangian dual approach for the $$H$$-weighted nearest correlation matrix problem. Zbl 1218.65061
Qi, Houduo; Sun, Defeng
2011
A further result on an implicit function theorem for locally Lipschitz functions. Zbl 1006.49009
Sun, Defeng
2001
A rank-corrected procedure for matrix completion with fixed basis coefficients. Zbl 1356.90178
Miao, Weimin; Pan, Shaohua; Sun, Defeng
2016
Characterization of the robust isolated calmness for a class of conic programming problems. Zbl 1357.49100
Ding, Chao; Sun, Defeng; Zhang, Liwei
2017
Quasi-Newton bundle-type methods for nondifferentiable convex optimization. Zbl 0927.65074
Mifflin, Robert; Sun, Defeng; Qi, Liqun
1998
A smoothing Newton-type algorithm of stronger convergence for the quadratically constrained convex quadratic programming. Zbl 1151.90509
Huang, Zhenghai; Sun, Defeng; Zhao, Gongyun
2006
A dual optimization approach to inverse quadratic eigenvalue problems with partial eigenstructure. Zbl 1154.65312
Bai, Zheng-Jian; Chu, Delin; Sun, Defeng
2007
Linear rate convergence of the alternating direction method of multipliers for convex composite programming. Zbl 1440.90047
Han, Deren; Sun, Defeng; Zhang, Liwei
2018
Solving variational inequality problems via smoothing-nonsmooth reformulations. Zbl 0987.65059
Sun, Defeng; Qi, Liqun
2001
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
Correlation stress testing for value-at-risk: an unconstrained convex optimization approach. Zbl 1198.91091
Qi, Houduo; Sun, Defeng
2010
Heuristic shortest path algorithms for transportation applications: state of the art. Zbl 1113.90034
Fu, L.; Sun, D.; Rilett, L. R.
2006
A proximal point algorithm for log-determinant optimization with group Lasso regularization. Zbl 1285.65037
Yang, Junfeng; Sun, Defeng; Toh, Kim-Chuan
2013
Solving Karush–Kuhn–Tucker systems via the trust region and the conjugate gradient methods. Zbl 1052.65060
Qi, Houduo; Qi, Liqun; Sun, Defeng
2003
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 new unconstrained differentiable merit function for box constrained variational inequality problems and a damped Gauss-Newton method. Zbl 0960.90086
Sun, Defeng; Womersley, Robert S.
1999
A computable generalized Hessian of the $$D$$-gap function and Newton-type methods for variational inequality problems. Zbl 0886.90165
Sun, Defeng; Fukushima, Masao; Qi, Liqun
1997
A new step-size skill for solving a class of nonlinear projection equations. Zbl 0854.65048
Sun, D.
1995
QSDPNAL: a two-phase augmented Lagrangian method for convex quadratic semidefinite programming. Zbl 1411.90213
Li, Xudong; Sun, Defeng; Toh, Kim-Chuan
2018
Sparse estimation of high-dimensional correlation matrices. Zbl 06918713
Cui, Ying; Leng, Chenlei; Sun, Defeng
2016
The $$SC^1$$ property of the squared norm of the SOC Fischer-Burmeister function. Zbl 1152.90621
Chen, Jein-Shan; Sun, Defeng; Sun, Jie
2008
An efficient inexact ABCD method for least squares semidefinite programming. Zbl 1346.90658
Sun, Defeng; Toh, Kim-Chuan; Yang, Liuqin
2016
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 partial proximal point algorithm for nuclear norm regularized matrix least squares problems. Zbl 1327.90109
Jiang, Kaifeng; Sun, Defeng; 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
Numerical experiments for a class of squared smoothing Newton methods for box constrained variational inequality problems. Zbl 0928.65080
Zhou, Guanglu; Sun, Defeng; Qi, Liqun
1999
Non-equilibrium dynamics of quantum systems: order parameter evolution, defect generation, and qubit transfer. Zbl 1201.81031
Mondal, S.; Sen, D.; Sengupta, K.
2010
Semismoothness and superlinear convergence in nonsmooth optimization and nonsmooth equations. Zbl 0991.90123
Jiang, Houyuan; Qi, Liqun; Chen, Xiaojun; Sun, Defeng
1996
An iterative method for solving variational inequality problems and complementarity problems. Zbl 0817.65048
Sun, Defeng
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
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
The finite termination of the damped Newton algorithm for linear complementarity problems. Zbl 0958.90081
Sun, Defeng; Han, Jiye; Zhao, Yunbin
1998
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
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
Properties of the Moreau-Yosida regularization of a piecewise $$C^2$$ convex function. Zbl 0971.90082
Mifflin, Robert; Qi, Liqun; Sun, Defeng
1999
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
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
Spectral operators of matrices. Zbl 1411.90264
Ding, Chao; Sun, Defeng; Sun, Jie; Toh, Kim-Chuan
2018
A centro-based characterization of singularities in the workspace of planar closed-loop manipulators. Zbl 1052.70515
Sen, D.; Mruthyunjaya, T. S.
1998
Two fundamental convergence theorems for nonlinear conjugate gradient methods and their applications. Zbl 0973.65048
Han, Jiye; Liu, Guanghui; Sen, Defeng; Yin, Hongxia
2001
Alternative theorems for nonlinear projection equations and applications to generalized complementarity problems. Zbl 1047.49014
Zhao, Yunbin; Sun, Defeng
2001
A primal-dual algorithm for minimizing a sum of Euclidean norms. Zbl 0994.65066
Qi, Liqun; Sun, Defeng; Zhou, Guanglu
2002
A dynamic job shop scheduling framework: A backward approach. Zbl 0902.90101
Sun, D.; Lin, L.
1994
Newton and quasi-Newton methods for normal maps with polyhedral sets. Zbl 0892.90164
Han, J.; Sun, D.
1997
Efficient sparse semismooth Newton methods for the clustered Lasso problem. Zbl 1427.90200
Lin, Meixia; Liu, Yong-Jin; Sun, Defeng; Toh, Kim-Chuan
2019
Polyhedral methods for solving three index assignment problems. Zbl 1134.90434
Qi, Liqun; Sun, Defeng
2000
Bounding option pricing of multi-assets: a semidefinite programming approach. Zbl 1105.90056
Han, Deren; Li, Xun; Sun, Defeng; Sun, Jie
2005
An introduction to the theory of fuzzy sets and its applications. Zbl 0583.94020
Chakraborty, M. K.; Sen, D.
1981
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
First-order algorithms for generalized semi-infinite min-max problems. Zbl 1040.90562
Polak, Elijah; Qi, Liqun; Sun, Defeng
1999
Second-order algorithms for generalized finite and semi-infinite min-max problems. Zbl 1001.65064
Polak, Elijah; Qi, Liqun; Sun, Defeng
2001
Globally and quadratically convergent algorithm for minimizing the sum of Euclidean norms. Zbl 1055.90057
Zhou, G.; Toh, K. C.; Sun, D.
2003
A Benders decomposition-based framework for solving quay crane scheduling problems. Zbl 1403.90504
Sun, Defeng; Tang, Lixin; Baldacci, Roberto
2019
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
Spectral operators of matrices: semismoothness and characterizations of the generalized Jacobian. Zbl 1434.49007
Ding, Chao; Sun, Defeng; Sun, Jie; Toh, Kim-Chuan
2020
Critical fluctuation in daily incidence of acute myocardial infarction. Zbl 0953.92022
Selvam, A. M.; Sen, D.; Mody, S. M. S.
2000
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
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
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
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
Spectral operators of matrices: semismoothness and characterizations of the generalized Jacobian. Zbl 1434.49007
Ding, Chao; Sun, Defeng; Sun, Jie; 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
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
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
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
Efficient sparse semismooth Newton methods for the clustered Lasso problem. Zbl 1427.90200
Lin, Meixia; Liu, Yong-Jin; Sun, Defeng; 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 Benders decomposition-based framework for solving quay crane scheduling problems. Zbl 1403.90504
Sun, Defeng; Tang, Lixin; Baldacci, Roberto
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
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
A highly efficient semismooth Newton augmented Lagrangian method for solving lasso problems. Zbl 1392.65062
Li, Xudong; Sun, Defeng; Toh, Kim-Chuan
2018
Linear rate convergence of the alternating direction method of multipliers for convex composite programming. Zbl 1440.90047
Han, Deren; Sun, Defeng; Zhang, Liwei
2018
QSDPNAL: a two-phase augmented Lagrangian method for convex quadratic semidefinite programming. Zbl 1411.90213
Li, Xudong; Sun, Defeng; 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
A complete characterization of the robust isolated calmness of nuclear norm regularized convex optimization problems. Zbl 1413.90199
Cui, Ying; Sun, Defeng
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
Characterization of the robust isolated calmness for a class of conic programming problems. Zbl 1357.49100
Ding, Chao; Sun, Defeng; Zhang, Liwei
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 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 rank-corrected procedure for matrix completion with fixed basis coefficients. Zbl 1356.90178
Miao, Weimin; Pan, Shaohua; Sun, Defeng
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
Sparse estimation of high-dimensional correlation matrices. Zbl 06918713
Cui, Ying; Leng, Chenlei; Sun, Defeng
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
First order optimality conditions for mathematical programs with semidefinite cone complementarity constraints. Zbl 1301.49036
Ding, Chao; Sun, Defeng; Ye, Jane J.
2014
An introduction to a class of matrix cone programming. Zbl 1301.65043
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
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
Hankel matrix rank minimization with applications to system identification and realization. Zbl 1302.90127
Fazel, Maryam; Pong, Ting Kei; Sun, Defeng; Tseng, Paul
2013
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
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
An augmented Lagrangian dual approach for the $$H$$-weighted nearest correlation matrix problem. Zbl 1218.65061
Qi, Houduo; Sun, Defeng
2011
A Newton-CG augmented Lagrangian method for semidefinite programming. Zbl 1213.90175
Zhao, Xin-Yuan; Sun, Defeng; Toh, Kim-Chuan
2010
Calibrating least squares semidefinite programming with equality and inequality constraints. Zbl 1201.49031
Gao, Yan; Sun, Defeng
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
Correlation stress testing for value-at-risk: an unconstrained convex optimization approach. Zbl 1198.91091
Qi, Houduo; Sun, Defeng
2010
Non-equilibrium dynamics of quantum systems: order parameter evolution, defect generation, and qubit transfer. Zbl 1201.81031
Mondal, S.; Sen, D.; Sengupta, K.
2010
Löwner’s operator and spectral functions in Euclidean Jordan algebras. Zbl 1218.90197
Sun, Defeng; Sun, Jie
2008
The rate of convergence of the augmented Lagrangian method for nonlinear semidefinite programming. Zbl 1190.90117
Sun, Defeng; Sun, Jie; Zhang, Liwei
2008
On the coderivative of the projection operator onto the second-order cone. Zbl 1161.49011
Outrata, Jiří V.; Sun, Defeng
2008
Constraint nondegeneracy, strong regularity, and nonsingularity in semidefinite programming. Zbl 1190.90116
Chan, Zi Xian; Sun, Defeng
2008
The $$SC^1$$ property of the squared norm of the SOC Fischer-Burmeister function. Zbl 1152.90621
Chen, Jein-Shan; Sun, Defeng; Sun, Jie
2008
A dual optimization approach to inverse quadratic eigenvalue problems with partial eigenstructure. Zbl 1154.65312
Bai, Zheng-Jian; Chu, Delin; Sun, Defeng
2007
A quadratically convergent Newton method for computing the nearest correlation matrix. Zbl 1120.65049
Qi, Houduo; Sun, Defeng
2006
The strong second-order sufficient condition and constraint nondegeneracy in nonlinear semidefinite programming and their implications. Zbl 1278.90304
Sun, Defeng
2006
A smoothing Newton-type algorithm of stronger convergence for the quadratically constrained convex quadratic programming. Zbl 1151.90509
Huang, Zhenghai; Sun, Defeng; Zhao, Gongyun
2006
Heuristic shortest path algorithms for transportation applications: state of the art. Zbl 1113.90034
Fu, L.; Sun, D.; Rilett, L. R.
2006
Strong semismoothness of the Fischer-Burmeister SDC and SOC complementarity functions. Zbl 1099.90062
Sun, Defeng; Sun, Jie
2005
Semismoothness of solutions to generalized equations and the Moreau-Yosida regularization. Zbl 1093.90059
Meng, Fanwen; Sun, Defeng; Zhao, Gongyun
2005
Bounding option pricing of multi-assets: a semidefinite programming approach. Zbl 1105.90056
Han, Deren; Li, Xun; Sun, Defeng; Sun, Jie
2005
Sub-quadratic convergence of a smoothing Newton algorithm for the $$P_0$$- and monotone LCP. Zbl 1168.90646
Huang, Zheng-Hai; Qi, Liqun; Sun, Defeng
2004
A squared smoothing Newton method for nonsmooth matrix equations and its applications in semidefinite optimization problems. Zbl 1079.90094
Sun, Jie; Sun, Defeng; Qi, Liqun
2004
Complementarity functions and numerical experiments on some smoothing Newton methods for second-order-cone complementarity problems. Zbl 1038.90084
Chen, X. D.; Sun, D.; Sun, J.
2003
Semismooth homeomorphisms and strong stability of semidefinite and Lorentz complementarity problems. Zbl 1082.90115
Pang, Jong-Shi; Sun, Defeng; Sun, Jie
2003
Strong semismoothness of eigenvalues of symmetric matrices and its application to inverse eigenvalue problems. Zbl 1041.65037
Sun, Defeng; Sun, Jie
2003
Solving Karush–Kuhn–Tucker systems via the trust region and the conjugate gradient methods. Zbl 1052.65060
Qi, Houduo; Qi, Liqun; Sun, Defeng
2003
Globally and quadratically convergent algorithm for minimizing the sum of Euclidean norms. Zbl 1055.90057
Zhou, G.; Toh, K. C.; Sun, D.
2003
Semismooth matrix-valued functions. Zbl 1082.49501
Sun, Defeng; Sun, Jie
2002
Smoothing functions and smoothing Newton method for complementarity and variational inequality problems. Zbl 1032.49017
Qi, L.; Sun, D.
2002
A feasible semismooth asymptotically Newton method for mixed complementarity problems. Zbl 1023.90068
Sun, Defeng; Womersley, Robert S.; Qi, Houduo
2002
A primal-dual algorithm for minimizing a sum of Euclidean norms. Zbl 0994.65066
Qi, Liqun; Sun, Defeng; Zhou, Guanglu
2002
A further result on an implicit function theorem for locally Lipschitz functions. Zbl 1006.49009
Sun, Defeng
2001
Solving variational inequality problems via smoothing-nonsmooth reformulations. Zbl 0987.65059
Sun, Defeng; Qi, Liqun
2001
Two fundamental convergence theorems for nonlinear conjugate gradient methods and their applications. Zbl 0973.65048
Han, Jiye; Liu, Guanghui; Sen, Defeng; Yin, Hongxia
2001
Alternative theorems for nonlinear projection equations and applications to generalized complementarity problems. Zbl 1047.49014
Zhao, Yunbin; Sun, Defeng
2001
Second-order algorithms for generalized finite and semi-infinite min-max problems. Zbl 1001.65064
Polak, Elijah; Qi, Liqun; Sun, Defeng
2001
A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities. Zbl 0989.90124
Qi, Liqun; Sun, Defeng; Zhou, Guanglu
2000
Improving the convergence of non-interior point algorithms for nonlinear complementarity problems. Zbl 0947.90117
Qi, Liqun; Sun, Defeng
2000
Polyhedral methods for solving three index assignment problems. Zbl 1134.90434
Qi, Liqun; Sun, Defeng
2000
Critical fluctuation in daily incidence of acute myocardial infarction. Zbl 0953.92022
Selvam, A. M.; Sen, D.; Mody, S. M. S.
2000
On NCP-functions. Zbl 1040.90544
Sun, Defeng; Qi, Liqun
1999
Convergence properties of nonlinear conjugate gradient methods. Zbl 0957.65062
Dai, Yuhong; Han, Jiye; Liu, Guanghui; Sun, Defeng; Yin, Hongxia; Yuan, Ya-Xiang
1999
A regularization Newton method for solving nonlinear complementarity problems. Zbl 0937.90110
Sun, D.
1999
A survey of some nonsmooth equations and smoothing Newton methods. Zbl 0957.65042
Qi, L.; Sun, D.
1999
A new unconstrained differentiable merit function for box constrained variational inequality problems and a damped Gauss-Newton method. Zbl 0960.90086
Sun, Defeng; Womersley, Robert S.
1999
Numerical experiments for a class of squared smoothing Newton methods for box constrained variational inequality problems. Zbl 0928.65080
Zhou, Guanglu; Sun, Defeng; Qi, Liqun
1999
Properties of the Moreau-Yosida regularization of a piecewise $$C^2$$ convex function. Zbl 0971.90082
Mifflin, Robert; Qi, Liqun; Sun, Defeng
1999
First-order algorithms for generalized semi-infinite min-max problems. Zbl 1040.90562
Polak, Elijah; Qi, Liqun; Sun, Defeng
1999
Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities. Zbl 0894.90143
Chen, X.; Qi, L.; Sun, D.
1998
A trust region method for solving generalized complementarity problems. Zbl 0911.90324
Jiang, Houyuan; Fukushima, Masao; Qi, Liqun; Sun, Defeng
1998
Secant methods for semismooth equations. Zbl 0914.65051
Potra, Florian A.; Qi, Liqun; Sun, Defeng
1998
Quasi-Newton bundle-type methods for nondifferentiable convex optimization. Zbl 0927.65074
Mifflin, Robert; Sun, Defeng; Qi, Liqun
1998
The finite termination of the damped Newton algorithm for linear complementarity problems. Zbl 0958.90081
Sun, Defeng; Han, Jiye; Zhao, Yunbin
1998
A centro-based characterization of singularities in the workspace of planar closed-loop manipulators. Zbl 1052.70515
Sen, D.; Mruthyunjaya, T. S.
1998
Newton and quasi-Newton methods for a class of nonsmooth equations and related problems. Zbl 0872.90087
Sun, Defeng; Han, Jiye
1997
A computable generalized Hessian of the $$D$$-gap function and Newton-type methods for variational inequality problems. Zbl 0886.90165
Sun, Defeng; Fukushima, Masao; Qi, Liqun
1997
Newton and quasi-Newton methods for normal maps with polyhedral sets. Zbl 0892.90164
Han, J.; Sun, D.
1997
A unified approach for the analysis of iterative methods for solving generalized complementarity problems. Zbl 0880.65042
Han, Jiye; Sun, Defeng; Xu, Dachun
1997
A class of iterative methods for solving nonlinear projection equations. Zbl 0871.90091
Sun, D.
1996
...and 7 more Documents
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#### Cited by 1,601 Authors

 57 Chen, Jein-Shan 55 Sun, Defeng 54 Zhang, Liwei 43 Qi, Liqun 39 Pan, Shaohua 35 Xiu, Naihua 33 Huang, Zheng-Hai 33 Ma, Changfeng 32 Toh, Kimchuan 25 Liu, Sanyang 24 Zhou, Jinchuan 21 Tang, Jingyong 18 Qi, Houduo 17 Fang, Liang 17 Kong, Lingchen 17 Wu, Jia 15 Wei, Zengxin 14 Bi, Shujun 14 Chi, Xiaoni 14 Han, Deren 14 Ling, Chen 14 Sun, Jie 13 Gao, Yan 13 Ma, Shiqian 13 Mordukhovich, Boris S. 13 Noor, Muhammad Aslam 13 Yuan, Xiaoming 12 Dong, Li 12 Du, Shouqiang 12 Kanzow, Christian 12 Liu, Hongwei 12 Liu, Yong-Jin 11 Chen, Xiaojun 11 Ding, Chao 11 Fukushima, Masao 11 Zhang, Jianzhong 11 Zhang, Liping 10 Luo, ZiYan 10 Pang, Liping 10 Tong, Xiaojiao 10 Wan, Zhongping 10 Wang, Yiju 10 Zhang, Shuzhong 10 Zhang, Yi 9 Babaie-Kafaki, Saman 9 Chang, Xiaokai 9 Han, Jiye 9 He, Hongjin 9 Li, Guoyin 9 Li, Xudong 9 Lin, Guihua 9 Mehlitz, Patrick 9 Śmietański, Marek J. 9 Sun, Wenyu 9 Wen, Zaiwen 9 Yu, Bo 9 Zhou, Guanglu 8 Bai, Jianchao 8 Dong, Qiaoli 8 Fan, Xiaona 8 Hu, ShengLong 8 Li, Qingna 8 Li, Xiangli 8 Sarabi, M. Ebrahim 8 Xiao, Xiantao 8 Xu, Chengxian 8 Yu, Zhensheng 7 Cai, Xingju 7 Chang, Yulin 7 Chen, Liang 7 Cui, Ying 7 Hao, Zijun 7 Kim, Sunyoung 7 Li, Donghui 7 Lu, Nan 7 Németh, Sándor Zoltán 7 Ng, Michael Kwok-Po 7 Ni, Tie 7 Shen, Weiping 7 Zhang, Lei-Hong 7 Zhu, Detong 7 Zhu, Jianguang 6 Chen, Caihua 6 Dai, Yu-Hong 6 Goh, Mark 6 Gonçalves, Max L. N. 6 Gowda, Muddappa Seetharama 6 He, Bingsheng 6 He, Guoping 6 Huang, Yakui 6 Li, Chong 6 Lu, Yue 6 Lu, Zhaosong 6 Meng, Fanwen 6 Miao, Xinhe 6 Monteiro, Renato D. C. 6 Narushima, Yasushi 6 Shi, Zhenjun 6 Sun, Juhe 6 Tang, Jia ...and 1,501 more Authors
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#### Cited in 170 Serials

 103 Computational Optimization and Applications 96 Journal of Optimization Theory and Applications 78 Applied Mathematics and Computation 78 Journal of Computational and Applied Mathematics 77 Mathematical Programming. Series A. Series B 53 SIAM Journal on Optimization 48 Optimization 47 Optimization Methods & Software 45 Journal of Global Optimization 34 Numerical Algorithms 28 Journal of Applied Mathematics and Computing 26 Optimization Letters 24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 24 Mathematical Problems in Engineering 23 Journal of Industrial and Management Optimization 22 Asia-Pacific Journal of Operational Research 21 Journal of Scientific Computing 21 European Journal of Operational Research 21 Linear Algebra and its Applications 21 Computational and Applied Mathematics 19 Computers & Mathematics with Applications 19 Operations Research Letters 19 Abstract and Applied Analysis 17 Numerical Functional Analysis and Optimization 17 Mathematical Methods of Operations Research 16 Mathematical Programming Computation 15 Set-Valued and Variational Analysis 14 Journal of Mathematical Analysis and Applications 14 Applied Numerical Mathematics 11 Mathematics of Computation 11 The Annals of Statistics 11 Annals of Operations Research 11 Journal of Inequalities and Applications 10 Applications of Mathematics 10 SIAM Journal on Scientific Computing 9 Acta Mathematicae Applicatae Sinica. English Series 9 International Journal of Computer Mathematics 9 Journal of Machine Learning Research (JMLR) 9 SIAM Journal on Imaging Sciences 8 Acta Mathematica Sinica. English Series 8 Journal of Applied Mathematics 8 Journal of the Operations Research Society of China 7 Inverse Problems 7 Calcolo 7 Applied Mathematical Modelling 7 Computational Statistics and Data Analysis 6 Mathematics of Operations Research 6 SIAM Journal on Matrix Analysis and Applications 6 Nonlinear Analysis. Real World Applications 6 Journal of Systems Science and Complexity 5 Computer Methods in Applied Mechanics and Engineering 5 Automatica 5 Applied Mathematics. Series B (English Edition) 5 Numerical Linear Algebra with Applications 5 Advances in Computational Mathematics 5 4OR 5 Science China. Mathematics 4 Mathematical Methods in the Applied Sciences 4 Applied Mathematics and Optimization 4 SIAM Journal on Numerical Analysis 4 Applied Mathematics Letters 4 RAIRO. Operations Research 4 Quantitative Finance 4 Fixed Point Theory and Applications 4 Numerical Algebra, Control and Optimization 3 Linear and Multilinear Algebra 3 Systems & Control Letters 3 Applied Mathematics and Mechanics. (English Edition) 3 Acta Applicandae Mathematicae 3 Journal of Mathematical Imaging and Vision 3 Applied and Computational Harmonic Analysis 3 International Journal of Computer Vision 3 Top 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Frontiers of Mathematics in China 2 International Journal of Modern Physics B 2 Journal of Engineering Mathematics 2 Journal of the Franklin Institute 2 Information Sciences 2 International Journal for Numerical Methods in Engineering 2 Journal of the American Statistical Association 2 Journal of Differential Equations 2 Journal of Multivariate Analysis 2 Numerische Mathematik 2 SIAM Journal on Control and Optimization 2 Mathematical and Computer Modelling 2 Science in China. Series A 2 Neural Computation 2 Japan Journal of Industrial and Applied Mathematics 2 SIAM Review 2 Filomat 2 ETNA. Electronic Transactions on Numerical Analysis 2 Bernoulli 2 Positivity 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Journal of the Royal Statistical Society. Series B. Statistical Methodology 2 Communications in Nonlinear Science and Numerical Simulation 2 Optimization and Engineering 2 Central European Journal of Mathematics 2 Structural and Multidisciplinary Optimization ...and 70 more Serials
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#### Cited in 43 Fields

 1,148 Operations research, mathematical programming (90-XX) 645 Numerical analysis (65-XX) 285 Calculus of variations and optimal control; optimization (49-XX) 90 Linear and multilinear algebra; matrix theory (15-XX) 80 Operator theory (47-XX) 79 Statistics (62-XX) 51 Computer science (68-XX) 40 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 38 Information and communication theory, circuits (94-XX) 27 Systems theory; control (93-XX) 20 Real functions (26-XX) 20 Mechanics of deformable solids (74-XX) 13 Combinatorics (05-XX) 12 Nonassociative rings and algebras (17-XX) 11 Partial differential equations (35-XX) 10 Fluid mechanics (76-XX) 9 Ordinary differential equations (34-XX) 9 Convex and discrete geometry (52-XX) 8 Functional analysis (46-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Probability theory and stochastic processes (60-XX) 8 Biology and other natural sciences (92-XX) 6 Algebraic geometry (14-XX) 6 General topology (54-XX) 6 Mechanics of particles and systems (70-XX) 5 Approximations and expansions (41-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 3 General and overarching topics; collections (00-XX) 3 Quantum theory (81-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Differential geometry (53-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistical mechanics, structure of matter (82-XX)