## Xu, Zongben

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 Author ID: xu.zongben Published as: Xu, Zongben; Xu, Zong-Ben; Xu, Zong Ben; Xu, Zong-ben; Xu, ZongBen; Xu, Z. B.; Xu, Z.-B. Homepage: http://en.xjtu.edu.cn/info/1017/1632.htm External Links: MGP · dblp · GND
 Documents Indexed: 270 Publications since 1982 1 Contribution as Editor · 1 Further Contribution Co-Authors: 168 Co-Authors with 255 Joint Publications 6,155 Co-Co-Authors
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### Co-Authors

 4 single-authored 23 Cao, Feilong 16 Lin, Shaobo 15 You, Zhaoyong 14 Wei, Guangsheng 12 Peng, Jigen 11 Wang, Lisheng 10 Meng, Deyu 10 Zhang, Hai 10 Zhang, Jiangshe 10 Zou, Bin 9 Chang, Xiangyu 9 Wang, Jianjun 9 Zeng, Jinshan 8 Liang, Yong 7 Cao, Huaixin 7 Jiang, Yaolin 6 Zhu, Chuanxi 5 Leung, Kwong-Sak 5 Li, Fengjun 5 Xu, Wenxiong 5 Zhao, Qian 4 Huang, Ting-Zhu 4 Jiang, Zhaolin 4 Li, Ruihu 4 Peng, Hong 4 Qiao, Chen 4 Sun, Jian 4 Wang, Hongyong 4 Wang, Wei 4 Wang, Yao 4 Zhang, Jianhua 4 Zhang, Wenxiu 4 Zhang, Yongquan 4 Zhao, Xile 3 Chen, Zhiping 3 Cheng, Guosheng 3 Fang, Jian 3 Fu, Shouzhong 3 Jing, Wenfeng 3 Li, Luoqing 3 Li, Youmei 3 Liu, Kunkun 3 Lv, Xiaoguang 3 Nie, Zankan 3 Shi, Xingzhong 3 Xu, Fengmin 3 Xu, Hong-Kun 3 Zhang, Tailei 2 Cao, Wenfei 2 Chen, Baili 2 Gao, Shuping 2 Gao, Yong 2 Gu, Nannan 2 Guo, Xiaofei 2 Han, Guodong 2 Han, Zhi 2 Jiao, Yongchang 2 Leung, Yiuwing 2 Li, Naicheng 2 Li, Shenggang 2 Li, Xueliang 2 Liang, Dong 2 Liang, Jiye 2 Lu, Jane Weizhen 2 Mak, Kai-Ling 2 Qiao, Hong 2 Rong, Yuanhua 2 Shen, Jianzhong 2 Sun, Jianyong 2 Tian, Zhenji 2 Wang, Yu 2 Xu, Jie 2 Yin, Hongwei 2 Yiu, Ka Fai Cedric 2 Zhang, Chengyi 2 Zhang, Lili 2 Zhang, Pu 2 Zhang, Xiangsun 2 Zhang, Zonglao 1 Bai, Zhaofang 1 Cao, Xiangyong 1 Chen, Hongbin 1 Chen, Rong 1 Chen, Yijun 1 Chin, Kwai-Sang 1 Cichocki, Andrzej 1 Culver, Dominic Leon 1 Dai, Yu-Hong 1 Dang, Chuangyin 1 Ding, Chunmei 1 Fan, Huiyuan 1 Fang, Cong 1 Feng, Xiaomei 1 Feng, Zuhong 1 Feng, Zuren 1 Fergola, Paolo 1 Gao, Feilong 1 Gao, Jinghuai 1 Gong, Tieliang 1 Gou, Hailiang ...and 77 more Co-Authors
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### Serials

 19 Acta Mathematica Sinica 10 Journal of Mathematical Analysis and Applications 10 Journal of Xi’an Jiaotong University 10 Acta Mathematicae Applicatae Sinica 9 Chinese Journal of Engineering Mathematics 8 Science China. Information Sciences 7 Applied Mathematics and Computation 6 Neural Networks 6 IEEE Transactions on Image Processing 5 Chinese Annals of Mathematics. Series A 5 Advances in Mathematics 5 Acta Mathematica Sinica. Chinese Series 4 Information Sciences 4 Journal of Systems Science and Mathematical Sciences 4 Mathematica Applicata 4 Acta Mathematica Sinica. English Series 3 IEEE Transactions on Automatic Control 3 Mathematica Numerica Sinica 3 Journal of Computational Mathematics 3 IEEE Transactions on Signal Processing 3 Applied Mathematical Modelling 3 International Journal of Computer Mathematics 3 Linear Algebra and its Applications 3 Applied Mathematics 3 Taiwanese Journal of Mathematics 3 Engineering Computations 3 Acta Mathematica Scientia. Series A. (Chinese Edition) 3 Journal of Software 3 Science in China. Series F 3 Science China. Mathematics 3 Scientia Sinica. Mathematica 2 IEEE Transactions on Information Theory 2 Chaos, Solitons and Fractals 2 Journal of Computational and Applied Mathematics 2 Numerical Mathematics 2 Journal of Engineering Mathematics (Xi’an) 2 Acta Mathematicae Applicatae Sinica. English Series 2 Applied Mathematics Letters 2 Machine Learning 2 Neural Computation 2 Pattern Recognition 2 Computational Optimization and Applications 2 Applied Mathematics. Series A (Chinese Edition) 2 Science in China. Series E 2 International Journal of Quantum Information 2 Fuzzy Systems and Mathematics 2 IEEE Transactions on Circuits and Systems I: Regular Papers 1 Communications in Algebra 1 International Journal of General Systems 1 Indian Journal of Pure & Applied Mathematics 1 Inverse Problems 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Computing 1 Fuzzy Sets and Systems 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 Journal of Approximation Theory 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Journal of Mathematics of Kyoto University 1 Journal of Number Theory 1 Journal of the Operational Research Society 1 Journal of Statistical Planning and Inference 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Semigroup Forum 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Soochow Journal of Mathematics 1 Southeast Asian Bulletin of Mathematics 1 Journal of Mathematical Research & Exposition 1 Chinese Annals of Mathematics. Series B 1 Chinese Journal of Applied Probability and Statistics 1 Approximation Theory and its Applications 1 Journal of Complexity 1 Annals of Differential Equations 1 Journal of Biomathematics 1 Journal of Qufu Normal University. Natural Science 1 Mathematical and Computer Modelling 1 European Journal of Operational Research 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Kexue Tongbao 1 Chinese Science Bulletin 1 Neurocomputing 1 Journal of Mathematical Imaging and Vision 1 Journal of Algebraic Combinatorics 1 SIAM Journal on Scientific Computing 1 Numerical Mathematics 1 Applied Mathematics. Series B (English Edition) 1 Statistica Sinica 1 Advances in Computational Mathematics 1 Pure and Applied Mathematics 1 Discrete and Continuous Dynamical Systems 1 Communications on Applied Nonlinear Analysis 1 Abstract and Applied Analysis 1 Optimization Methods & Software ...and 18 more Serials
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### Fields

 72 Computer science (68-XX) 63 Operator theory (47-XX) 48 Numerical analysis (65-XX) 33 Approximations and expansions (41-XX) 31 Ordinary differential equations (34-XX) 29 Biology and other natural sciences (92-XX) 26 Information and communication theory, circuits (94-XX) 20 Statistics (62-XX) 18 Operations research, mathematical programming (90-XX) 12 Functional analysis (46-XX) 12 Probability theory and stochastic processes (60-XX) 12 Systems theory; control (93-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Partial differential equations (35-XX) 5 Combinatorics (05-XX) 5 Measure and integration (28-XX) 5 Difference and functional equations (39-XX) 4 Group theory and generalizations (20-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Mathematical logic and foundations (03-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 General topology (54-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Quantum theory (81-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General algebraic systems (08-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Differential geometry (53-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX)

### Citations contained in zbMATH Open

147 Publications have been cited 930 times in 799 Documents Cited by Year
Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces. Zbl 0757.46034
Xu, Zong-Ben; Roach, G. F.
1991
Multiple solutions of some nonlinear fourth-order beam equations. Zbl 1145.34008
Han, Guodong; Xu, Zongben
2008
A comparative study of two modeling approaches in neural networks. Zbl 1082.68099
Xu, Zong-Ben; Qiao, Hong; Peng, Jigen; Zhang, Bo
2004
The algorithm on knowledge reduction in incomplete information systems. Zbl 1085.68696
Liang, Jiye; Xu, Zongben
2002
Rough set models on two universes. Zbl 1154.93378
Pei, Daowu; Xu, Zong-Ben
2004
Inclusion degree: A perspective on measures for rough set data analysis. Zbl 1008.68134
Xu, Z. B.; Liang, J. Y.; Dang, C. Y.; Chin, K. S.
2002
The essential order of approximation for neural networks. Zbl 1186.82063
Xu, Zongben; Cao, Feilong
2004
A necessary and sufficient condition for convergence of steepest descent approximation to accretive operator equations. Zbl 0818.47061
Xu, Zongben; Roach, G. F.
1992
$$L_{1/2}$$ regularization: convergence of iterative half thresholding algorithm. Zbl 1393.90145
Zeng, Jinshan; Lin, Shaobo; Wang, Yao; Xu, Zongben
2014
Maps preserving numerical radius distance on $$C^*$$-algebras. Zbl 1064.47037
Bai, Zhaofang; Hou, Jinchuan; Xu, Zongben
2004
Improve robustness of sparse PCA by $$L_{1}$$-norm maximization. Zbl 1225.68202
Meng, Deyu; Zhao, Qian; Xu, Zongben
2012
Simultaneous $$\mathbf L^p$$-approximation order for neural networks. Zbl 1088.68158
Xu, Zong-Ben; Cao, Fei-Long
2005
Sufficient and necessary conditions for global exponential stability of discrete-time recurrent neural networks. Zbl 1374.39022
Wang, Lisheng; Xu, Zongben
2006
A problem of D. H. Lehmer and its mean square value formula. Zbl 1046.11070
Zhang, Wenpeng; Xu, Zongben; Yi, Yuan
2003
Kronecker product approximations for image restoration with whole-sample symmetric boundary conditions. Zbl 1239.94011
Lv, Xiao-Guang; Huang, Ting-Zhu; Xu, Zong-Ben; Zhao, Xi-Le
2012
New study on neural networks: the essential order of approximation. Zbl 1398.65023
Wang, Jianjun; Xu, Zongben
2010
Global convergence and asymptotic stability of asymmetric Hopfield neural networks. Zbl 0819.68101
Xu, Zongben; Kwong, C. P.
1995
On multivariate Baskakov operator. Zbl 1067.41017
Cao, Feilong; Ding, Chunmei; Xu, Zongben
2005
Graphs determined by their generalized characteristic polynomials. Zbl 1205.05113
Wang, Wei; Li, Feng; Lu, Hongliang; Xu, Zongben
2011
A cell exclusion algorithm for determining all the solutions of a nonlinear system of equations. Zbl 0883.65042
Xu, Zongben; Zhang, Jiangshe; Wang, Wei
1996
A special Hermitian and skew-Hermitian splitting method for image restoration. Zbl 1351.94006
Lv, Xiao-Guang; Huang, Ting-Zhu; Xu, Zong-Ben; Zhao, Xi-Le
2013
Inequalities and solution of an operator equation. Zbl 1153.47045
Zhu, Chuanxi; Xu, Zongben
2008
An efficient optimization approach for a cardinality-constrained index tracking problem. Zbl 1382.90117
Xu, Fengmin; Lu, Zhaosong; Xu, Zongben
2016
Total variation regularized tensor RPCA for background subtraction from compressive measurements. Zbl 1408.94065
Cao, Wenfei; Wang, Yao; Sun, Jian; Meng, Deyu; Yang, Can; Cichocki, Andrzej; Xu, Zongben
2016
The essential order of approximation for nearly exponential type neural networks. Zbl 1121.41033
Xu, Zongben; Wang, Jianjun
2006
Some results on the lexicographic product of vertex-transitive graphs. Zbl 1234.05192
Li, Feng; Wang, Wei; Xu, Zongben; Zhao, Haixing
2011
Image inpainting by patch propagation using patch sparsity. Zbl 1371.94424
Xu, Zongben; Sun, Jian
2010
A general CDC formulation for specializing the cell exclusion algorithms of finding all zeros of vector functions. Zbl 0910.65033
Xu, Zongben; Zhang, Jiangshe; Leung, Yiuwing
1997
Three improved neural network models for air quality forecasting. Zbl 1157.86302
Wang, Wenjian; Xu, Zongben; Lu, Jane Weizhen
2003
Characterizations and extensions of Lipschitz-$$\alpha$$ operators. Zbl 1111.47045
Cao, Huaixin; Zhang, Jianhua; Xu, Zongben
2006
Efficient algorithm for finding the inverse and the group inverse of FLS $$r$$-circulant matrix. Zbl 1087.65024
Jiang, Zhaolin; Xu, Zongben
2005
Learning rates of $$l^{q}$$ coefficient regularization learning with Gaussian kernel. Zbl 1410.62119
Lin, Shaobo; Zeng, Jinshan; Fang, Jian; Xu, Zongben
2014
Learning from uniformly ergodic Markov chains. Zbl 1183.68515
Zou, Bin; Zhang, Hai; Xu, Zongben
2009
Kronecker product approximations for image restoration with new mean boundary conditions. Zbl 1236.65063
Zhao, Xi-Le; Huang, Ting-Zhu; Lv, Xiao-Guang; Xu, Zong-Ben; Huang, Jie
2012
The generalization performance of ERM algorithm with strongly mixing observations. Zbl 1470.68214
Zou, Bin; Li, Luoqing; Xu, Zongben
2009
Inverse indefinite Sturm-Liouville problems with three spectra. Zbl 1223.34015
Fu, Shouzhong; Xu, Zongben; Wei, Guangsheng
2011
Random ambiguous point of random $$k(\omega )$$-set-contractive operator. Zbl 1113.47051
Zhu, Chuan-Xi; Xu, Zong-Ben
2007
On the uniform continuity of metric projections in Banach spaces. Zbl 0767.41035
Xu, Zongben; Roach, G. F.
1992
A novel dual approach to nonlinear semigroups of Lipschitz operators. Zbl 1072.47054
Peng, Jigen; Xu, Zongben
2005
Linear convergence of adaptively iterative thresholding algorithms for compressed sensing. Zbl 1394.94632
Wang, Yu; Zeng, Jinshan; Peng, Zhimin; Chang, Xiangyu; Xu, Zongben
2015
A computational ball test for the existence of solutions to nonlinear equations. Zbl 0673.65030
Xu, Zongben
1989
A class of random operator equations in the Hilbert space. Zbl 1130.47308
Zhu, Chuanxi; Xu, Zongben
2004
A further necessary and sufficient condition for strong convergence of nonlinear contraction semigroups and of iterative methods for accretive operators in Banach spaces. Zbl 0820.47074
Xu, Zong-Ben; Jiang, Yao-Lin; Roach, G. F.
1995
Some properties of nonlinear Lipschitz-$$\alpha$$ operators. Zbl 1046.47047
Cao, Huai Xin; Xu, Zong Ben
2002
Almost optimal estimates for approximation and learning by radial basis function networks. Zbl 1320.68141
Lin, Shaobo; Liu, Xia; Rong, Yuanhua; Xu, Zongben
2014
Essential rate for approximation by spherical neural networks. Zbl 1267.41002
Lin, Shaobo; Cao, Feilong; Xu, Zongben
2011
The essential ability of sparse reconstruction of different compressive sensing strategies. Zbl 1270.94046
Zhang, Hai; Liang, Yong; Gou, Hailiang; Xu, Zongben
2012
Sparse SAR imaging based on $$L_{1/2}$$ regularization. Zbl 1270.94025
Zeng, Jinshan; Fang, Jian; Xu, Zongben
2012
The interlacing of spectra between continuous and discontinuous Sturm-Liouville problems and its application to inverse problems. Zbl 1255.34015
Fu, Shouzhong; Xu, Zongben; Wei, Guangsheng
2012
Generalization bounds of regularization algorithms derived simultaneously through hypothesis space complexity, algorithmic stability and data quality. Zbl 1219.62003
Chang, Xiangyu; Xu, Zongben; Zou, Bin; Zhang, Hai
2011
A general radial quasi-interpolation operator on the sphere. Zbl 1259.41007
Lin, Shaobo; Cao, Feilong; Chang, Xiangyu; Xu, Zongben
2012
Maximal accretive realizations of regular Sturm-Liouville differential operators. Zbl 1037.47033
Xu, Zongben; Wei, Guangsheng; Fergola, Paolo
2002
Approximation by neural networks with scattered data. Zbl 1334.68190
Lin, Shaobo; Guo, Xiaofei; Cao, Feilong; Xu, Zongben
2013
General $$H$$-matrices and their Schur complements. Zbl 1316.15009
Zhang, Cheng-Yi; Xu, Fengmin; Xu, Zongben; Li, Jicheng
2014
Generalization performance of Gaussian kernels SVMC based on Markov sampling. Zbl 1311.68143
Xu, Jie; Tang, Yuan Yan; Zou, Bin; Xu, Zongben; Li, Luoqing; Lu, Yang
2014
Enhancing low-rank subspace clustering by manifold regularization. Zbl 1374.68472
Liu, Junmin; Chen, Yijun; Zhang, Jiangshe; Xu, Zongben
2014
Self-adjoint domains of products of differential expressions. Zbl 1011.47032
Wei, Guangsheng; Xu, Zongben
2001
Approximation with Jacobi weights by Baskakov operators. Zbl 1180.41022
Wang, Jian-Jun; Xu, Zong-Ben
2009
Sparse regularization: convergence of iterative jumping thresholding algorithm. Zbl 1414.94726
Zeng, Jinshan; Lin, Shaobo; Xu, Zongben
2016
A novel splicing/decomposable binary encoding and its operators for genetic and evolutionary algorithms. Zbl 1227.68091
Liang, Yong; Leung, Kwong-Sak; Xu, Zongben
2007
Combinatorial construction of linear quantum codes from quaternary BCH codes. Zbl 1185.81062
Li, Ruihu; Xu, Zongben
2009
Data modeling: visual psychology approach and $$L_{1/2}$$ regularization theory. Zbl 1243.68262
Xu, Zongben
2011
A new stability criterion for discrete-time neural networks: Nonlinear spectral radius. Zbl 1143.39300
Mak, K. L.; Peng, J. G.; Xu, Z. B.; Yiu, K. F. C.
2007
Generalization performance of least-square regularized regression algorithm with Markov chain samples. Zbl 1231.62167
Zou, Bin; Li, Luoqing; Xu, Zongben
2012
Strong fuzzy compact sets and ultra-fuzzy compact sets in $$L$$-topological spaces. Zbl 1079.54007
Li, Sheng-Gang; Zhang, Li-Li; Xu, Zong-Ben
2004
A class of iteration methods for a strongly monotone operator equation and application to finite element approximate solution of nonlinear elliptic boundary value problem. Zbl 0553.65039
You, Zhaoyong; Xu, Zongben
1984
Variable programming: a generalized minimax problem. I: Models and theory. Zbl 1078.90049
Jiao, Yong-Chang; Leung, Yee; Xu, Zongben; Zhang, Jiang-She
2005
Efficiency speed-up strategies for evolutionary computation: An adaptive implementation. Zbl 1008.65041
Leung, Kwong-Sak; Sun, Jianyong; Xu, Zongben
2002
Efficiency speed-up strategies for evolutionary computation: fundamentals and fast-GAs. Zbl 1069.68092
Xu, Zong-Ben; Leung, Kwong-Sak; Liang, Yong; Leung, Yee
2003
The region contraction algorithm for constructing zeros of quasi-strongly monotone operators. Zbl 0592.65037
You, Zhaoyong; Xu, Zongben; Liu, Kunkun
1984
Ball algorithms for constructing solutions of nonlinear operator equations. Zbl 0745.65040
You, Zhaoyong; Xu, Zongben
1991
A comparison of point and ball iterations in the contractive mapping case. Zbl 0815.65075
Xu, Zongben; Shi, Xingzhong
1992
Continuity and stability of a quadratic mixed-integer stochastic program. Zbl 1176.90436
Chen, Zhiping; Xu, Zongben
2009
An $$L^ p$$ inequality and its applications to fixed point theory and approximation theory. Zbl 0688.47020
Xu, Hong-Kun; Xu, Zong-Ben
1989
An empirical comparison of three novel genetic algorithms. Zbl 0972.65040
Fan, Huiyuan; Lu, Jane Wei-Zhen; Xu, Zongben
2000
Global exponential asymptotic stability in nonlinear discrete dynamical systems. Zbl 0989.93079
Wang, Lisheng; Heng, Pheng-Ann; Leung, Kwong-Sak; Xu, Zongben
2001
A class of rough surfaces and their fractal dimensions. Zbl 0996.28002
Wang, Hongyong; Xu, Zongben
2001
Constructive approximate interpolation by neural networks in the metric space. Zbl 1205.65033
Cao, Feilong; Lin, Shaobo; Xu, Zongben
2010
$$M$$-spectral theory of Lipschitz-$$\alpha$$ operators. Zbl 1068.47066
Cao, Huai Xin; Xu, Zong Ben
2003
Learning rates of regularized regression on the unit sphere. Zbl 1295.68181
Cao, FeiLong; Lin, ShaoBo; Chang, XiangYu; Xu, ZongBen
2013
Generalization bounds of ERM algorithm with $$V$$-geometrically ergodic Markov chains. Zbl 1242.68265
Zou, Bin; Xu, Zongben; Chang, Xiangyu
2012
A new algorithm for computing the inverse and generalized inverse of the scaled factor circulant matrix. Zbl 1174.65016
Jiang, Zhaolin; Xu, Zongben
2008
Inequalities among eigenvalues between indefinite and definite Sturm-Liouville problems. Zbl 1124.34305
Wei, Guang Sheng; Xu, Zong Ben
2005
Generalization bounds of ERM algorithm with Markov chain samples. Zbl 1386.68148
Zou, Bin; Xu, Zong-ben; Xu, Jie
2014
On the lattice of full eventually regular subsemigroups. Zbl 1151.20048
Jones, Peter R.; Tian, Z. J.; Xu, Z. B.
2005
Pointwise approximation for neural networks. Zbl 1082.68601
Cao, Feilong; Xu, Zongben; Li, Youmei
2005
Variable programming: a generalized minimax problem. II: Algorithms. Zbl 1078.90050
Jiao, Yong-Chang; Leung, Yee; Xu, Zongben; Zhang, Jiang-She
2005
Qualitative studies on nonlinear Lipschitz operators. IV: Spectral theory. Zbl 0837.47047
Wang, Lisheng; Xu, Zongben
1995
Qualitative studies on nonlinear Lipschitz operators. III: The $$glb$$-Lipschitz constant. Zbl 1012.47022
Wang, Lisheng; Xu, Zongben; Chen, Baili
1999
On asymptotic behaviours of nonlinear semigroup of Lipschitz operators with applications. Zbl 1049.47053
Peng, Ji Gen; Xu, Zong Ben
2002
Stancu polynomials defined on a simplex and best polynomial approximation. Zbl 1023.41015
Cao, Fei Long; Xu, Zong Ben
2003
Global annealing genetic algorithm and its convergence analysis. Zbl 0886.68114
Zhang, Jiangshe; Xu, Zongben; Leung, Yee
1997
Existence of positive periodic solutions of a prey-predator system with several delays. Zbl 1150.92357
Xu, Wenxiong; Zhang, Tailei; Xu, Zongben
2008
Jackson-type inequalities for spherical neural networks with doubling weights. Zbl 1326.41019
Lin, Shaobo; Zeng, Jinshan; Xu, Lin; Xu, Zongben
2015
Video primal sketch: a unified middle-level representation for video. Zbl 1343.94010
Han, Zhi; Xu, Zongben; Zhu, Song-Chun
2015
Gradient profile prior and its applications in image super-resolution and enhancement. Zbl 1372.94242
Sun, Jian; Sun, Jian; Xu, Zongben; Shum, Heung-Yeung
2011
A critical analysis on global convergence of Hopfield-type neural networks. Zbl 1374.82024
Peng, Jigen; Xu, Zong-Ben; Qiao, Hong; Zhang, Bo
2005
Characteristic inequalities of $$L^ p$$ spaces and their applications. Zbl 0716.46024
Xu, Zongben
1989
Nonlinear version of Holub’s theorem and its application. Zbl 0998.47041
Peng, Jigen; Xu, Zongben
1998
Nonexistence of complete conformal metrics with prescribed scalar curvatures on a manifold of nonpositive curvature. Zbl 1057.53025
Zhang, Zonglao; Xu, Zongben
2004
Variational Bayes’ method for functions with applications to some inverse problems. Zbl 1467.62045
Jia, Junxiong; Zhao, Qian; Xu, Zongben; Meng, Deyu; Leung, Yee
2021
When will be the resumption of work in Wuhan and its surrounding areas during COVID-19 epidemic? A data-driven network modeling analysis. Zbl 07494904
Wang, Xia; Tang, Sanyi; Chen, Yong; Feng, Xiaomei; Xiao, Yanni; Xu, Zongben
2020
On the $$E_2$$-term of the bo-Adams spectral sequence. Zbl 1469.55013
Beaudry, A.; Behrens, M.; Bhattacharya, P.; Culver, D.; Xu, Z.
2020
Nonconvex-sparsity and nonlocal-smoothness-based blind hyperspectral unmixing. Zbl 07122883
Yao, Jing; Meng, Deyu; Zhao, Qian; Cao, Wenfei; Xu, Zongben
2019
Sparse $$k$$-means with $$\ell_\infty/\ell_0$$ penalty for high-dimensional data clustering. Zbl 1394.62084
Chang, Xiangyu; Wang, Yu; Li, Rongjian; Xu, Zongben
2018
Generalization analysis of Fredholm kernel regularized classifiers. Zbl 1456.68148
Gong, Tieliang; Xu, Zongben; Chen, Hong
2017
An efficient optimization approach for a cardinality-constrained index tracking problem. Zbl 1382.90117
Xu, Fengmin; Lu, Zhaosong; Xu, Zongben
2016
Total variation regularized tensor RPCA for background subtraction from compressive measurements. Zbl 1408.94065
Cao, Wenfei; Wang, Yao; Sun, Jian; Meng, Deyu; Yang, Can; Cichocki, Andrzej; Xu, Zongben
2016
Sparse regularization: convergence of iterative jumping thresholding algorithm. Zbl 1414.94726
Zeng, Jinshan; Lin, Shaobo; Xu, Zongben
2016
Robust low-rank matrix factorization under general mixture noise distributions. Zbl 1408.94066
Cao, Xiangyong; Zhao, Qian; Meng, Deyu; Chen, Yang; Xu, Zongben
2016
Linear convergence of adaptively iterative thresholding algorithms for compressed sensing. Zbl 1394.94632
Wang, Yu; Zeng, Jinshan; Peng, Zhimin; Chang, Xiangyu; Xu, Zongben
2015
Jackson-type inequalities for spherical neural networks with doubling weights. Zbl 1326.41019
Lin, Shaobo; Zeng, Jinshan; Xu, Lin; Xu, Zongben
2015
Video primal sketch: a unified middle-level representation for video. Zbl 1343.94010
Han, Zhi; Xu, Zongben; Zhu, Song-Chun
2015
$$L_{1/2}$$ regularization: convergence of iterative half thresholding algorithm. Zbl 1393.90145
Zeng, Jinshan; Lin, Shaobo; Wang, Yao; Xu, Zongben
2014
Learning rates of $$l^{q}$$ coefficient regularization learning with Gaussian kernel. Zbl 1410.62119
Lin, Shaobo; Zeng, Jinshan; Fang, Jian; Xu, Zongben
2014
Almost optimal estimates for approximation and learning by radial basis function networks. Zbl 1320.68141
Lin, Shaobo; Liu, Xia; Rong, Yuanhua; Xu, Zongben
2014
General $$H$$-matrices and their Schur complements. Zbl 1316.15009
Zhang, Cheng-Yi; Xu, Fengmin; Xu, Zongben; Li, Jicheng
2014
Generalization performance of Gaussian kernels SVMC based on Markov sampling. Zbl 1311.68143
Xu, Jie; Tang, Yuan Yan; Zou, Bin; Xu, Zongben; Li, Luoqing; Lu, Yang
2014
Enhancing low-rank subspace clustering by manifold regularization. Zbl 1374.68472
Liu, Junmin; Chen, Yijun; Zhang, Jiangshe; Xu, Zongben
2014
Generalization bounds of ERM algorithm with Markov chain samples. Zbl 1386.68148
Zou, Bin; Xu, Zong-ben; Xu, Jie
2014
A sharp nonasymptotic bound and phase diagram of $$L_{1/2}$$ regularization. Zbl 1305.62258
Zhang, Hai; Xu, Zong Ben; Wang, Yao; Chang, Xiang Yu; Liang, Yong
2014
A special Hermitian and skew-Hermitian splitting method for image restoration. Zbl 1351.94006
Lv, Xiao-Guang; Huang, Ting-Zhu; Xu, Zong-Ben; Zhao, Xi-Le
2013
Approximation by neural networks with scattered data. Zbl 1334.68190
Lin, Shaobo; Guo, Xiaofei; Cao, Feilong; Xu, Zongben
2013
Learning rates of regularized regression on the unit sphere. Zbl 1295.68181
Cao, FeiLong; Lin, ShaoBo; Chang, XiangYu; Xu, ZongBen
2013
Compressive sensing with noise based on SCAD penalty. Zbl 1299.94055
Zhang, Hai; Liang, Yong; Xu, Zongben; Chang, Xiangyu
2013
Proportion-based robust optimization and team orienteering problem with interval data. Zbl 1292.90249
Ke, Liangjun; Xu, Zongben; Feng, Zuren; Shang, Ke; Qian, Xueming
2013
Improve robustness of sparse PCA by $$L_{1}$$-norm maximization. Zbl 1225.68202
Meng, Deyu; Zhao, Qian; Xu, Zongben
2012
Kronecker product approximations for image restoration with whole-sample symmetric boundary conditions. Zbl 1239.94011
Lv, Xiao-Guang; Huang, Ting-Zhu; Xu, Zong-Ben; Zhao, Xi-Le
2012
Kronecker product approximations for image restoration with new mean boundary conditions. Zbl 1236.65063
Zhao, Xi-Le; Huang, Ting-Zhu; Lv, Xiao-Guang; Xu, Zong-Ben; Huang, Jie
2012
The essential ability of sparse reconstruction of different compressive sensing strategies. Zbl 1270.94046
Zhang, Hai; Liang, Yong; Gou, Hailiang; Xu, Zongben
2012
Sparse SAR imaging based on $$L_{1/2}$$ regularization. Zbl 1270.94025
Zeng, Jinshan; Fang, Jian; Xu, Zongben
2012
The interlacing of spectra between continuous and discontinuous Sturm-Liouville problems and its application to inverse problems. Zbl 1255.34015
Fu, Shouzhong; Xu, Zongben; Wei, Guangsheng
2012
A general radial quasi-interpolation operator on the sphere. Zbl 1259.41007
Lin, Shaobo; Cao, Feilong; Chang, Xiangyu; Xu, Zongben
2012
Generalization performance of least-square regularized regression algorithm with Markov chain samples. Zbl 1231.62167
Zou, Bin; Li, Luoqing; Xu, Zongben
2012
Generalization bounds of ERM algorithm with $$V$$-geometrically ergodic Markov chains. Zbl 1242.68265
Zou, Bin; Xu, Zongben; Chang, Xiangyu
2012
A convergence rate for approximate solutions of Fredholm integral equations of the first kind. Zbl 1262.65199
Lin, Shaobo; Cao, Feilong; Xu, Zongben
2012
Graphs determined by their generalized characteristic polynomials. Zbl 1205.05113
Wang, Wei; Li, Feng; Lu, Hongliang; Xu, Zongben
2011
Some results on the lexicographic product of vertex-transitive graphs. Zbl 1234.05192
Li, Feng; Wang, Wei; Xu, Zongben; Zhao, Haixing
2011
Inverse indefinite Sturm-Liouville problems with three spectra. Zbl 1223.34015
Fu, Shouzhong; Xu, Zongben; Wei, Guangsheng
2011
Essential rate for approximation by spherical neural networks. Zbl 1267.41002
Lin, Shaobo; Cao, Feilong; Xu, Zongben
2011
Generalization bounds of regularization algorithms derived simultaneously through hypothesis space complexity, algorithmic stability and data quality. Zbl 1219.62003
Chang, Xiangyu; Xu, Zongben; Zou, Bin; Zhang, Hai
2011
Data modeling: visual psychology approach and $$L_{1/2}$$ regularization theory. Zbl 1243.68262
Xu, Zongben
2011
Gradient profile prior and its applications in image super-resolution and enhancement. Zbl 1372.94242
Sun, Jian; Sun, Jian; Xu, Zongben; Shum, Heung-Yeung
2011
Optimal rate of the regularized regression learning algorithm. Zbl 1218.68141
Zhang, Yongquan; Cao, Feilong; Xu, Zongben
2011
Neural networks and the best trigomometric approximation. Zbl 1283.42003
Wang, Jianjun; Xu, Zongben
2011
The essential rate of approximation for radial function manifold. Zbl 1241.41010
Lin, ShaoBo; Cao, FeiLong; Xu, ZongBen
2011
New study on neural networks: the essential order of approximation. Zbl 1398.65023
Wang, Jianjun; Xu, Zongben
2010
Image inpainting by patch propagation using patch sparsity. Zbl 1371.94424
Xu, Zongben; Sun, Jian
2010
Constructive approximate interpolation by neural networks in the metric space. Zbl 1205.65033
Cao, Feilong; Lin, Shaobo; Xu, Zongben
2010
Scale selection for anisotropic diffusion filter by Markov random field model. Zbl 1207.68315
Sun, Jian; Xu, Zongben
2010
Derivatives of Bernstein operators and smoothness with Jacobi weights. Zbl 1216.41018
Wang, Jianjun; Han, Guodong; Xu, Zongben
2010
Learning from uniformly ergodic Markov chains. Zbl 1183.68515
Zou, Bin; Zhang, Hai; Xu, Zongben
2009
The generalization performance of ERM algorithm with strongly mixing observations. Zbl 1470.68214
Zou, Bin; Li, Luoqing; Xu, Zongben
2009
Approximation with Jacobi weights by Baskakov operators. Zbl 1180.41022
Wang, Jian-Jun; Xu, Zong-Ben
2009
Combinatorial construction of linear quantum codes from quaternary BCH codes. Zbl 1185.81062
Li, Ruihu; Xu, Zongben
2009
Continuity and stability of a quadratic mixed-integer stochastic program. Zbl 1176.90436
Chen, Zhiping; Xu, Zongben
2009
Multiple solutions of some nonlinear fourth-order beam equations. Zbl 1145.34008
Han, Guodong; Xu, Zongben
2008
Inequalities and solution of an operator equation. Zbl 1153.47045
Zhu, Chuanxi; Xu, Zongben
2008
A new algorithm for computing the inverse and generalized inverse of the scaled factor circulant matrix. Zbl 1174.65016
Jiang, Zhaolin; Xu, Zongben
2008
Existence of positive periodic solutions of a prey-predator system with several delays. Zbl 1150.92357
Xu, Wenxiong; Zhang, Tailei; Xu, Zongben
2008
The estimation of simultaneous approximation order for neural networks. Zbl 1161.68728
Li, Fengjun; Xu, Zongben
2008
The bidding selection and assignment problem with minimum quantity commitment. Zbl 1156.90402
Lim, A.; Xu, Z.; Wang, F.
2008
Direct and inverse approximation theorems with Jacobi weight for combinations and higher derivatives of Baskakov operators. Zbl 1164.41340
Wang, Jianjun; Xu, Zongben
2008
Optimal approximation order for $$q$$-Stancu operators defined on a simplex. Zbl 1164.41015
Li, Fengjun; Xu, Zongben; Zheng, Kaijie
2008
On the classification of binary optimal self-orthogonal codes. Zbl 1322.94105
Li, Ruihu; Xu, Zongben; Zhao, Xuejun
2008
Random ambiguous point of random $$k(\omega )$$-set-contractive operator. Zbl 1113.47051
Zhu, Chuan-Xi; Xu, Zong-Ben
2007
A novel splicing/decomposable binary encoding and its operators for genetic and evolutionary algorithms. Zbl 1227.68091
Liang, Yong; Leung, Kwong-Sak; Xu, Zongben
2007
A new stability criterion for discrete-time neural networks: Nonlinear spectral radius. Zbl 1143.39300
Mak, K. L.; Peng, J. G.; Xu, Z. B.; Yiu, K. F. C.
2007
The essential order of simultaneous approximation for neural networks. Zbl 1193.41027
Li, Fengjun; Xu, Zongben
2007
The approximation properties of generalized multivariate Bernstein operators. Zbl 1150.41015
Li, Fengjun; Xu, Zongben
2007
On characterizations of exponential stability of nonlinear discrete dynamical systems on bounded regions. Zbl 1366.93556
Wang, Lisheng; Xu, Zongben
2007
Quantitative characterizations of exponential convergence property of nonlinear discrete dynamical systems. Zbl 1366.93557
Wang, Lisheng; Xu, Zongben; Zhao, Qunfei
2007
Sufficient and necessary conditions for global exponential stability of discrete-time recurrent neural networks. Zbl 1374.39022
Wang, Lisheng; Xu, Zongben
2006
The essential order of approximation for nearly exponential type neural networks. Zbl 1121.41033
Xu, Zongben; Wang, Jianjun
2006
Characterizations and extensions of Lipschitz-$$\alpha$$ operators. Zbl 1111.47045
Cao, Huaixin; Zhang, Jianhua; Xu, Zongben
2006
Linear quantum codes of minimum distance three. Zbl 1110.81051
Li, Ruihu; Li, Xueliang; Xu, Zongben
2006
The lattice of full subsemigroups of an inverse semigroup. Zbl 1117.20047
Tian, Zhenji; Xu, Zongben
2006
Algorithms for finding the inverses of factor block circulant matrices. Zbl 1105.65030
Jiang, Zhaolin; Xu, Zongben; Gao, Shuping
2006
Simultaneous $$\mathbf L^p$$-approximation order for neural networks. Zbl 1088.68158
Xu, Zong-Ben; Cao, Fei-Long
2005
On multivariate Baskakov operator. Zbl 1067.41017
Cao, Feilong; Ding, Chunmei; Xu, Zongben
2005
Efficient algorithm for finding the inverse and the group inverse of FLS $$r$$-circulant matrix. Zbl 1087.65024
Jiang, Zhaolin; Xu, Zongben
2005
A novel dual approach to nonlinear semigroups of Lipschitz operators. Zbl 1072.47054
Peng, Jigen; Xu, Zongben
2005
Variable programming: a generalized minimax problem. I: Models and theory. Zbl 1078.90049
Jiao, Yong-Chang; Leung, Yee; Xu, Zongben; Zhang, Jiang-She
2005
Inequalities among eigenvalues between indefinite and definite Sturm-Liouville problems. Zbl 1124.34305
Wei, Guang Sheng; Xu, Zong Ben
2005
On the lattice of full eventually regular subsemigroups. Zbl 1151.20048
Jones, Peter R.; Tian, Z. J.; Xu, Z. B.
2005
Pointwise approximation for neural networks. Zbl 1082.68601
Cao, Feilong; Xu, Zongben; Li, Youmei
2005
Variable programming: a generalized minimax problem. II: Algorithms. Zbl 1078.90050
Jiao, Yong-Chang; Leung, Yee; Xu, Zongben; Zhang, Jiang-She
2005
A critical analysis on global convergence of Hopfield-type neural networks. Zbl 1374.82024
Peng, Jigen; Xu, Zong-Ben; Qiao, Hong; Zhang, Bo
2005
An expanded Phillips theory and its application to differential operators. Zbl 1065.47005
Wei, Guangsheng; Xu, Zongben
2005
A comparative study of two modeling approaches in neural networks. Zbl 1082.68099
Xu, Zong-Ben; Qiao, Hong; Peng, Jigen; Zhang, Bo
2004
Rough set models on two universes. Zbl 1154.93378
Pei, Daowu; Xu, Zong-Ben
2004
The essential order of approximation for neural networks. Zbl 1186.82063
Xu, Zongben; Cao, Feilong
2004
Maps preserving numerical radius distance on $$C^*$$-algebras. Zbl 1064.47037
Bai, Zhaofang; Hou, Jinchuan; Xu, Zongben
2004
A class of random operator equations in the Hilbert space. Zbl 1130.47308
Zhu, Chuanxi; Xu, Zongben
2004
Strong fuzzy compact sets and ultra-fuzzy compact sets in $$L$$-topological spaces. Zbl 1079.54007
Li, Sheng-Gang; Zhang, Li-Li; Xu, Zong-Ben
2004
Nonexistence of complete conformal metrics with prescribed scalar curvatures on a manifold of nonpositive curvature. Zbl 1057.53025
Zhang, Zonglao; Xu, Zongben
2004
Lipschitz operators and the solvability of nonlinear operator equations. Zbl 1082.47056
Cao, Huai Xin; Xu, Zong Ben
2004
Non-commutative Lipschitz-$$\phi$$ operator algebras. Zbl 1285.46033
Cao, Huaixin; Xu, Zongben
2004
Some properties of subharmonic functions on complete Riemannian manifolds and their geometric applications. Zbl 1073.53052
Zhang, Zonglao; Xu, Zongben
2004
A problem of D. H. Lehmer and its mean square value formula. Zbl 1046.11070
Zhang, Wenpeng; Xu, Zongben; Yi, Yuan
2003
...and 47 more Documents
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### Cited by 1,254 Authors

 42 Xu, Zongben 23 Chidume, Charles Ejike 17 Huang, Ting-Zhu 17 Qian, Yuhua 17 Zhu, Chuanxi 16 Liang, Jiye 15 Cao, Feilong 12 Dang, Chuangyin 12 Hou, Jinchuan 12 Zegeye, Habtu 11 Shehu, Yekini 10 Zhao, Xile 9 Lin, Shaobo 9 Peng, Jianwen 8 Wang, Jianjun 8 Yao, Jen-Chih 7 Cho, Yeol Je 7 Liu, Xia 7 Lv, Xiaoguang 7 Ma, Tian-Hui 7 Sunthrayuth, Pongsakorn 6 Moore, Chika 6 Peng, Jigen 6 Sheng, Baohuai 6 Yang, Yang 6 Zhang, Jihui 6 Zhang, Yuanbiao 6 Zhou, Haiyun 6 Zou, Bin 5 Chang, Shih-Sen 5 Chen, Chunfang 5 Ding, Xie Ping 5 He, Kan 5 Ji, Teng-Yu 5 Liang, Yong 5 Mewomo, Oluwatosin Temitope 5 Ofoedu, Eric U. 5 Park, Juhyun (Jessie) 5 Pei, Daowu 5 She, Yanhong 5 Shi, Haiping 5 Sun, Bingzhen 5 Wei, Guangsheng 5 Yao, Yiyu 5 Zhang, Hongying 5 Zhang, Xiuling 4 Anastassiou, George Angelos 4 Cao, Jinde 4 Ceng, Lu-Chuan 4 Chen, Zhixiang 4 Cholamjiak, Prasit 4 Costarelli, Danilo 4 Deng, Lei 4 Djitté, Ngalla 4 Jiang, Zhaolin 4 Kang, Shin Min 4 Li, Deyu 4 Ma, Ruyun 4 Shakiba, Ali 4 Vinti, Gianluca 4 Wang, Si 4 Wu, Weizhi 4 Wu, Zhaoqi 4 Xu, Jie 4 Xu, Weihua 4 Yang, Jinghua 4 Zeng, Jinshan 3 Ali, Bashir 3 Ao, Jijun 3 Bastani, Mehdi 3 Botmart, Thongchai 3 Braha, Naim Latif 3 Cao, Huaixin 3 Chang, Xiangyu 3 Chen, Zhiping 3 Cui, Baotong 3 Dai, Yu-Hong 3 Deng, Liangjian 3 Diker, Murat 3 Du, Bo 3 Feng, Meiqiang 3 Feng, Xiaojing 3 Fu, Liyong 3 He, Xiaoli 3 Hein, Torsten 3 Hong, Wei-Chiang 3 Huang, Tingwen 3 Jiang, Tai-Xiang 3 Jolaoso, Lateef Olakunle 3 Leung, Kwong-Sak 3 Li, Fang 3 Li, Fengjun 3 Li, Qiuying 3 Li, Tongjun 3 Lin, Guoping 3 Liu, Huaning 3 Liu, Jun 3 Ma, Weimin 3 Manivannan, Raman 3 Miao, Duoqian ...and 1,154 more Authors
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### Cited in 217 Serials

 45 Applied Mathematics and Computation 38 Journal of Mathematical Analysis and Applications 36 Information Sciences 23 Computers & Mathematics with Applications 23 Neural Networks 22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 Journal of Computational and Applied Mathematics 16 Acta Mathematica Sinica. English Series 15 Abstract and Applied Analysis 14 International Journal of Approximate Reasoning 13 Linear Algebra and its Applications 12 Boundary Value Problems 11 Journal of Inequalities and Applications 10 Applied Mathematical Modelling 10 Soft Computing 10 Fixed Point Theory and Applications 9 Applicable Analysis 9 Inverse Problems 9 Journal of Global Optimization 9 International Journal of Computer Mathematics 9 Applied Mathematics. Series B (English Edition) 9 International Journal of Wavelets, Multiresolution and Information Processing 8 International Journal of General Systems 8 Journal of the Franklin Institute 7 Fuzzy Sets and Systems 7 Applied Mathematics and Mechanics. (English Edition) 7 Mathematical and Computer Modelling 7 Neural Computation 7 Journal of Intelligent and Fuzzy Systems 7 Advances in Difference Equations 7 Nonlinear Analysis. Theory, Methods & Applications 6 Journal of Optimization Theory and Applications 6 Proceedings of the American Mathematical Society 6 Journal of Scientific Computing 6 Mathematical Problems in Engineering 6 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 6 Journal of Applied Mathematics 6 Journal of Applied Mathematics and Computing 6 Analysis in Theory and Applications 5 Linear and Multilinear Algebra 5 Mathematical Methods in the Applied Sciences 5 Numerical Functional Analysis and Optimization 5 Numerische Mathematik 5 Circuits, Systems, and Signal Processing 5 Optimization 5 Pattern Recognition 5 Computational and Applied Mathematics 5 Analysis and Applications (Singapore) 4 Chaos, Solitons and Fractals 4 Discrete Dynamics in Nature and Society 4 Engineering Computations 4 Science China. Mathematics 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Mathematical Notes 3 Rocky Mountain Journal of Mathematics 3 Mathematische Nachrichten 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Results in Mathematics 3 Bulletin of the Iranian Mathematical Society 3 Applied Numerical Mathematics 3 Journal of Complexity 3 Applied Mathematics Letters 3 European Journal of Operational Research 3 Computational Optimization and Applications 3 Journal of Inverse and Ill-Posed Problems 3 Complexity 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Systems Science and Complexity 3 Journal of Machine Learning Research (JMLR) 3 Thai Journal of Mathematics 3 Mediterranean Journal of Mathematics 3 Science in China. Series F 3 Journal of Fixed Point Theory and Applications 3 SIAM Journal on Imaging Sciences 3 Science China. Information Sciences 3 Journal of Function Spaces 2 Bulletin of the Australian Mathematical Society 2 International Journal of Systems Science 2 Automatica 2 International Journal of Mathematics and Mathematical Sciences 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Transactions of the American Mathematical Society 2 Journal of the Nigerian Mathematical Society 2 Acta Mathematicae Applicatae Sinica. English Series 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Mathematical Programming. Series A. Series B 2 Indagationes Mathematicae. New Series 2 SIAM Journal on Optimization 2 Journal of Mathematical Imaging and Vision 2 SIAM Journal on Scientific Computing 2 Applied and Computational Harmonic Analysis 2 Journal of the Egyptian Mathematical Society 2 Filomat 2 Advances in Computational Mathematics 2 Nonlinear Dynamics 2 Nonlinear Analysis. Modelling and Control 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Communications on Pure and Applied Analysis 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série ...and 117 more Serials
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### Cited in 52 Fields

 222 Operator theory (47-XX) 177 Computer science (68-XX) 136 Numerical analysis (65-XX) 88 Operations research, mathematical programming (90-XX) 85 Ordinary differential equations (34-XX) 69 Information and communication theory, circuits (94-XX) 63 Biology and other natural sciences (92-XX) 60 Approximations and expansions (41-XX) 57 Systems theory; control (93-XX) 53 Statistics (62-XX) 42 Functional analysis (46-XX) 36 Calculus of variations and optimal control; optimization (49-XX) 29 Linear and multilinear algebra; matrix theory (15-XX) 27 Mathematical logic and foundations (03-XX) 27 Difference and functional equations (39-XX) 21 Global analysis, analysis on manifolds (58-XX) 21 Probability theory and stochastic processes (60-XX) 20 Combinatorics (05-XX) 18 Number theory (11-XX) 18 Partial differential equations (35-XX) 17 General topology (54-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Mechanics of deformable solids (74-XX) 7 Measure and integration (28-XX) 6 Integral equations (45-XX) 5 Optics, electromagnetic theory (78-XX) 5 Quantum theory (81-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Functions of a complex variable (30-XX) 4 Sequences, series, summability (40-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Real functions (26-XX) 3 Convex and discrete geometry (52-XX) 3 Differential geometry (53-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Category theory; homological algebra (18-XX) 2 Group theory and generalizations (20-XX) 2 Mechanics of particles and systems (70-XX) 2 Fluid mechanics (76-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 General algebraic systems (08-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX)