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## Ding, Jiu

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 Author ID: ding.jiu Published as: Ding, Jiu; Ding, J.
 Documents Indexed: 131 Publications since 1990, including 3 Books
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#### Co-Authors

 26 single-authored 23 Rhee, Noah H. 22 Zhou, Aihui 9 Li, Tien-Yien 8 Jin, Congming 7 Huang, Qianglian 5 Zhou, Duanmei 4 Chen, Guoliang 4 Tian, Haiyan 4 Zhang, Chenhua 3 Adam, Mansour Saeed Ibrahim 3 Upadhyay, Tulsi 3 Wei, Yimin 3 Zhu, Lanping 2 Dong, Qixiang 2 Du, Qiang 2 Fay, Temple H. 2 Hitt, L. Richard 2 Kolibal, Joseph 2 Mead, Lawrence R. 2 Pye, Wallace C. 2 Zhang, Xinmin 1 Bangura, Raymond Manna 1 Chen, Suanrong 1 Cibotarica, Alexandru 1 Eifler, Larry Q. 1 Fang, TingTing 1 Hang, Weihua 1 He, Bingsheng 1 Hornor, William E. 1 Hunt, Fern Y. 1 Jia, Hongxia 1 Komornik, Vilmos 1 Krodkiewski, J. M. 1 Li, Zhao 1 Manglik, Raj M. 1 Mansour, Saeed Ibrahim Adam 1 Mao, Dong 1 Ni, Qin 1 Schröder, Bernd S. W. 1 Sun, Wenyu 1 Tang, Yifa 1 Wang, Zizhong John 1 Yang, Huiqing H. 1 Yao, Guangming 1 Zhao, Lian
all top 5

#### Serials

 14 Journal of Mathematical Analysis and Applications 14 Applied Mathematics and Computation 13 Applied Mathematics Letters 9 Linear Algebra and its Applications 6 Nonlinear Analysis. Theory, Methods & Applications 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Journal of Statistical Physics 4 Missouri Journal of Mathematical Sciences 4 East Asian Journal on Applied Mathematics 3 Computers & Mathematics with Applications 3 Journal of Computational and Applied Mathematics 3 International Journal of Computer Mathematics 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Fractals 3 Numerical Algebra, Control and Optimization 2 Journal of Mathematical Physics 2 Linear and Multilinear Algebra 2 Communications in Mathematical Sciences 2 Advances in Applied Mathematics and Mechanics 1 American Mathematical Monthly 1 International Journal of Heat and Mass Transfer 1 International Journal of Mathematical Education in Science and Technology 1 Journal of Sound and Vibration 1 Nonlinearity 1 The Arabian Journal for Science and Engineering 1 International Journal of Mathematics and Mathematical Sciences 1 Numerical Functional Analysis and Optimization 1 Proceedings of the American Mathematical Society 1 Stochastic Analysis and Applications 1 Advances in Mathematics 1 Physica D 1 SIAM Journal on Matrix Analysis and Applications 1 Annals of Operations Research 1 Dynamic Systems and Applications 1 SIAM Journal on Optimization 1 Algebra Colloquium 1 Monte Carlo Methods and Applications 1 Discrete and Continuous Dynamical Systems 1 Nonlinear Analysis. Real World Applications 1 Communications in Computational Physics 1 Operators and Matrices 1 Journal of Applied Analysis and Computation 1 Open Mathematics 1 Journal of Shanghai Normal University. Natural Sciences
all top 5

#### Fields

 43 Numerical analysis (65-XX) 38 Operator theory (47-XX) 35 Linear and multilinear algebra; matrix theory (15-XX) 29 Dynamical systems and ergodic theory (37-XX) 15 Measure and integration (28-XX) 13 Approximations and expansions (41-XX) 7 Probability theory and stochastic processes (60-XX) 4 Associative rings and algebras (16-XX) 4 Operations research, mathematical programming (90-XX) 3 Real functions (26-XX) 3 Partial differential equations (35-XX) 3 Integral equations (45-XX) 3 Statistics (62-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

95 Publications have been cited 658 times in 298 Documents Cited by Year
Markov finite approximation of Frobenius-Perron operator. Zbl 0758.28014
Ding, Jiu; Li, Tien Yien
1991
Eigenvalues of rank-one updated matrices with some applications. Zbl 1139.15003
Ding, Jiu; Zhou, Aihui
2007
Finite approximations of Frobenius-Perron operators. A solution of Ulam’s conjecture to multi-dimensional transformations. Zbl 0890.58035
Ding, Jiu; Zhou, Aihui
1996
High order approximation of the Frobenius-Perron operator. Zbl 0769.65025
Ding, J.; Du, Q.; Li, T. Y.
1993
On the perturbation of the least squares solutions in Hilbert spaces. Zbl 0817.47017
Ding, J.; Huang, L. J.
1994
Spectral solutions of the Yang-Baxter matrix equation. Zbl 1262.15012
Ding, J.; Rhee, N. H.
2013
Piecewise linear Markov approximations of Frobenius-Perron operators associated with multi-dimensional transformations. Zbl 0907.47025
Ding, Jiu; Zhou, Ai Hui
1995
Representations for Moore-Penrose inverses in Hilbert spaces. Zbl 0982.47003
Wei, Yimin; Ding, Jiu
2001
A maximum entropy method for solving Frobenius-Perron operator equations. Zbl 0940.37001
Ding, J.
1998
A convergence rate analysis for Markov finite approximations to a class of Frobenius-Perron operators. Zbl 1003.47026
Ding, Jiu; Li, Tien Yien
1998
A nontrivial solution to a stochastic matrix equation. Zbl 1287.15003
Ding, J.; Rhee, N. H.
2012
On the continuity of generalized inverses of linear operators in Hilbert spaces. Zbl 1052.47500
Ding, J.; Huang, L. J.
1997
Projection solutions of Frobenius-Perron operator equations. Zbl 0779.41016
Ding, Jiu; Li, Tien Tien
1993
Statistical properties of deterministic systems. Zbl 1171.37001
Ding, Jiu; Zhou, Aihui
2009
New perturbation results on pseudo-inverses of linear operators in Banach spaces. Zbl 1044.47011
Ding, Jiu
2003
The projection method for computing multidimensional absolutely continuous invariant measures. Zbl 0972.28501
Ding, Jiu; Zhou, Aihui
1994
Perturbation of generalized inverses of linear operators in Hilbert spaces. Zbl 0867.47003
Ding, J.; Huang, L. J.
1996
On the structure of the spectral solutions of the Yang-Baxter matrix equation. Zbl 1314.15011
Ding, Jiu; Zhang, Chenhua
2014
Nonnegative matrices, positive operators, and applications. Zbl 1205.15048
Ding, Jiu; Zhou, Aihui
2009
Commuting solutions of the Yang-Baxter matrix equation. Zbl 1315.15014
Ding, J.; Zhang, C.; Rhee, N. H.
2015
New perturbation results for equality-constrained least squares problems. Zbl 0893.65021
Ding, Jiu; Hang, Weihua
1998
Further solutions of a Yang-Baxter-like matrix equation. Zbl 1292.15013
Ding, Jiu; Zhang, Chenhua; Rhee, Noah H.
2013
The eigenvalue problem of a specially updated matrix. Zbl 1113.15010
Ding, Jiu; Yao, Guangming
2007
Perturbation results for projecting a point onto a linear manifold. Zbl 0913.65034
Ding, Jiu
1998
Perturbation analysis for the projection of a point to an affine set. Zbl 0784.15014
Ding, Jiu
1993
Finite approximations of Markov operators. Zbl 1013.65140
Ding, Jiu; Li, Tien Yien; Zhou, Aihui
2002
A maximum entropy method based on piecewise linear functions for the recovery of a stationary density of interval mappings. Zbl 1231.37042
Ding, Jiu; Jin, Congming; Rhee, Noah H.; Zhou, Aihui
2011
Solutions of the Yang-Baxter matrix equation for an idempotent. Zbl 1264.15013
Cibotarica, A.; Ding, Jiu; Kolibal, J.; Rhee, Noah H.
2013
The spectral analysis of Frobenius-Perron operators. Zbl 0830.47022
Ding, J.; Du, Q.; Li, T. Y.
1994
A modified piecewise linear Markov approximation of Markov operators. Zbl 1107.65009
Ding, J.; Rhee, N. H.
2006
On the equality of algebraic and geometric multiplicities of matrix eigenvalues. Zbl 1236.15023
Ding, J.; Rhee, Noah H.
2011
A polynomial-time predictor-corrector algorithm for a class of linear complementarity problems. Zbl 0752.90079
Ding, Jiu; Li, Tien-Yien
1991
Computing invariant measures of piecewise convex transformations. Zbl 1081.37500
Ding, J.
1996
Chaos control in an investment model with straight-line stabilization method. Zbl 1139.93345
Yao, H. X.; Wu, C. Y.; Jiang, D. P.; Ding, J.
2008
A new approach to Frobenius-Perron operators. Zbl 0819.47043
Ding, Jiu; Hornor, William E.
1994
Maximum entropy approximation for Lyapunov exponents of chaotic maps. Zbl 1059.37024
2002
Explicit solutions of the Yang-Baxter-like matrix equation for an idempotent matrix. Zbl 1348.15011
Mansour, Saeed Ibrahim Adam; Ding, Jiu; Huang, Qianglian
2017
Solving the Yang-Baxter-like matrix equation for rank-two matrices. Zbl 1353.15014
Zhou, Duanmei; Chen, Guoliang; Ding, Jiu
2017
Perturbation bounds for least squares problems with equality constraints. Zbl 0922.15012
Ding, Jiu
1999
Characteristic polynomials of some perturbed matrices. Zbl 1154.15011
Ding, Jiu; Zhou, Aihui
2008
Structure preserving finite element approximations of Markov operators. Zbl 1073.37091
Ding, Jiu; Zhou, Aihui
2002
On the spectrum and pseudoinverse of a special bordered matrix. Zbl 0981.15006
Ding, Jiu; Pye, Wallace C.
2001
Birkhoff’s ergodic theorem and the piecewise-constant maximum entropy method for Frobenius-Perron operators. Zbl 1263.41012
Ding, Jiu; Rhee, Noah H.
2012
Computing solutions of the Yang-Baxter-like matrix equation for diagonalisable matrices. Zbl 1315.65043
Ding, J.; Rhee, Noah H.
2015
A maximum entropy method based on orthogonal polynomials for Frobenius-Perron operators. Zbl 1262.41013
Ding, Jiu; Rhee, Noah H.
2011
On the perturbation of the reduced minimum modulus of bounded linear operators. Zbl 1047.47010
Ding, J.
2003
A spectrum theorem for perturbed bounded linear operators. Zbl 1161.47004
Ding, Jiu; Zhou, Aihui
2008
The point spectrum of Frobenius-Perron and Koopman operators. Zbl 0892.47010
Ding, J.
1998
A generalization of a classic theorem in the perturbation theory for linear operators. Zbl 0944.47009
Ding, J.; Huang, L. J.
1999
Perturbation of systems of linear algebraic equations. Zbl 0956.15003
Ding, Jiu
2000
Parallel computation of invariant measures. Zbl 0997.65007
Ding, J.; Wang, Z.
2001
Approximations of Frobenius-Perron operators via interpolation. Zbl 1059.65123
Ding, J.; Rhee, N. H.
2004
Absolutely continuous invariant measure of a piecewise concave mapping of $$[0,1]$$. Zbl 0868.47006
Ding, J.
1997
Constructive approximations of Markov operators. Zbl 0991.37004
Ding, Jiu; Zhou, Aihui
2001
Solving the Yang-Baxter-like matrix equation for a class of elementary matrices. Zbl 1361.15014
Ding, Jiu; Tian, Haiyan
2016
The recursive formulation of particular solutions for some elliptic PDEs with polynomial source functions. Zbl 1364.65271
Ding, Jiu; Tian, H. Y.; Chen, C. S.
2009
Commuting solutions of a quadratic matrix equation for nilpotent matrices. Zbl 1382.15021
Dong, Qixiang; Ding, Jiu; Huang, Qianglian
2018
The maximum entropy method applied to stationary density computation. Zbl 1112.65007
2007
Piecewise linear least squares approximations of Frobenius-Perron operators. Zbl 1204.65007
Ding, J.; Rhee, N. H.
2010
A piecewise quadratic maximum entropy method for the statistical study of chaos. Zbl 1298.65192
Upadhyay, Tulsi; Ding, Jiu; Rhee, Noah H.
2015
A unified maximum entropy method via spline functions for Frobenius-Perron operators. Zbl 1268.41020
Ding, Jiu; Rhee, Noah H.
2013
On the Yang-Baxter-like matrix equation for rank-two matrices. Zbl 1361.15019
Zhou, Duanmei; Chen, Guoliang; Ding, Jiu
2017
Inclusion of static indetermination in the mathematical model for nonlinear dynamic analyses of multi-bearing rotor system. Zbl 0925.73378
Ding, J.; Krodkiewski, J. M.
1993
A finite element method for the Frobenius-Perron operator equation. Zbl 0977.65104
Ding, Jiu; Zhou, Aihui
1999
Markov chains and dynamic geometry of polygons. Zbl 1024.51026
Ding, Jiu; Hitt, L. Richard; Zhang, Xin-Min
2003
Integral and nonnegativity preserving approximations of functions. Zbl 1114.41004
Ding, J.; Eifler, Larry; Rhee, N. H.
2007
Sierpiński pedal triangles. Zbl 1173.28006
Zhang, Xin-Min; Hitt, L. Richard; Wang, Bin; Ding, Jiu
2008
An algorithm based on weighted logarithmic barrier functions for linear complementarity problems. Zbl 0717.90076
Ding, Jiu; Li, Tien-Yien
1990
The projection method for a class of Frobenius-Perron operators. Zbl 0943.47042
Ding, J.; Zhou, A.
1999
Error estimates for quasi-compact Markov operators. Zbl 0968.60077
Ding, Jiu; Hunt, Fern Y.
2000
A closed range theorem for the Frobenius-Perron operator and its application to the spectral analysis. Zbl 0804.47032
Ding, J.
1994
Minimal distance upper bounds for the perturbation of least squares problems in Hilbert spaces. Zbl 1022.47007
Ding, J.
2002
A piecewise linear maximum entropy method for invariant measures of random maps with position-dependent probabilities. Zbl 1403.37090
Jin, Congming; Upadhyay, Tulsi; Ding, Jiu
2018
Lower and upper bounds in the perturbation of general linear algebraic equations. Zbl 0985.65029
Ding, Jiu
2001
On the norm convergence of a piecewise linear least squares method for Frobenius-Perron operators. Zbl 1368.37084
Ding, J.; Rhee, Noah H.
2012
When a matrix and its inverse are nonnegative. Zbl 1339.15022
Ding, J.; Rhee, N. H.
2014
Approximations of Frobenius-Perron operators via piecewise quadratic functions. Zbl 1364.41010
Tian, Haiyan; Ding, Jiu; Rhee, Noah H.
2016
Solving Fredholm integral equations via a piecewise linear maximum entropy method. Zbl 1416.65538
Jin, Congming; Ding, Jiu
2016
Laminar flow heat transfer to viscous power-law fluids in double-sine ducts. Zbl 0922.76048
Manglik, R. M.; Ding, J.
1997
On the expression of generalized inverses of perturbed bounded linear operators. Zbl 1039.47001
Ding, Jiu
2003
A posteriori error estimates for Markov approximations of Frobenius-Perron operators. Zbl 1119.41018
Ding, Jiu; Jin, Congming; Zhou, Aihui
2007
On the dimension of Sierpiński pedal triangles. Zbl 1168.28306
Ding, Jiu; Li, Zhao
2009
Absolutely continuous invariant measures for piecewise $$C^2$$ and expanding mappings in higher dimensions. Zbl 1009.37012
Ding, Jiu; Zhou, Aihui
2000
On the existence of solutions to equality constrained least-squares problems in infinite-dimensional Hilbert spaces. Zbl 1051.47008
Ding, J.
2002
Decomposition theorems for Koopman operators. Zbl 0868.47005
Ding, Jiu
1997
Some results on structured $$M$$-matrices with an application to wireless communications. Zbl 1105.15018
Ding, Jiu; Pye, Wallace; Zhao, Lian
2006
Complete commuting solutions of the Yang-Baxter-like matrix equation for diagonalizable matrices. Zbl 1443.15010
Dong, Qixiang; Ding, Jiu
2016
All non-commuting solutions of the Yang-Baxter matrix equation for a class of diagonalizable matrices. Zbl 1417.15016
Huang, Qianglian; Adam, Mansour Saeed Ibrahim; Ding, Jiu; Zhu, Lanping
2019
Convergence analysis of projection methods for Frobenius-Perron operators based on matrix norm techniques. Zbl 07096842
Huang, Qianglian; Ding, Jiu; Rhee, Noah H.
2019
Solving a class of quadratic matrix equations. Zbl 1391.15052
Adam, Mansour Saeed Ibrahim; Ding, Jiu; Huang, Qianglian; Zhu, Lanping
2018
Solving the Yang-Baxter-like matrix equation for nilpotent matrices of index three. Zbl 1392.15027
Zhou, Duanmei; Ding, Jiu
2018
On estimating absolutely continuous invariant measures. Zbl 1031.37004
Ding, Jiu; Zhou, Aihui
2001
A quadratic spline least squares method for computing absolutely continuous invariant measures. Zbl 1412.37075
Chen, Guoliang; Ding, Jiu; Rhee, Noah H.; Zhou, Duanmei
2018
Invariant measures and their computation. Zbl 1054.37500
Ding, Jiu; Zhou, Aihui
1998
A linear spline Markov approximation method for random maps with position dependent probabilities. Zbl 1445.37036
Jin, Congming; Ding, Jiu
2020
A linear spline Markov approximation method for random maps with position dependent probabilities. Zbl 1445.37036
Jin, Congming; Ding, Jiu
2020
All non-commuting solutions of the Yang-Baxter matrix equation for a class of diagonalizable matrices. Zbl 1417.15016
Huang, Qianglian; Adam, Mansour Saeed Ibrahim; Ding, Jiu; Zhu, Lanping
2019
Convergence analysis of projection methods for Frobenius-Perron operators based on matrix norm techniques. Zbl 07096842
Huang, Qianglian; Ding, Jiu; Rhee, Noah H.
2019
Commuting solutions of a quadratic matrix equation for nilpotent matrices. Zbl 1382.15021
Dong, Qixiang; Ding, Jiu; Huang, Qianglian
2018
A piecewise linear maximum entropy method for invariant measures of random maps with position-dependent probabilities. Zbl 1403.37090
Jin, Congming; Upadhyay, Tulsi; Ding, Jiu
2018
Solving a class of quadratic matrix equations. Zbl 1391.15052
Adam, Mansour Saeed Ibrahim; Ding, Jiu; Huang, Qianglian; Zhu, Lanping
2018
Solving the Yang-Baxter-like matrix equation for nilpotent matrices of index three. Zbl 1392.15027
Zhou, Duanmei; Ding, Jiu
2018
A quadratic spline least squares method for computing absolutely continuous invariant measures. Zbl 1412.37075
Chen, Guoliang; Ding, Jiu; Rhee, Noah H.; Zhou, Duanmei
2018
Explicit solutions of the Yang-Baxter-like matrix equation for an idempotent matrix. Zbl 1348.15011
Mansour, Saeed Ibrahim Adam; Ding, Jiu; Huang, Qianglian
2017
Solving the Yang-Baxter-like matrix equation for rank-two matrices. Zbl 1353.15014
Zhou, Duanmei; Chen, Guoliang; Ding, Jiu
2017
On the Yang-Baxter-like matrix equation for rank-two matrices. Zbl 1361.15019
Zhou, Duanmei; Chen, Guoliang; Ding, Jiu
2017
Solving the Yang-Baxter-like matrix equation for a class of elementary matrices. Zbl 1361.15014
Ding, Jiu; Tian, Haiyan
2016
Approximations of Frobenius-Perron operators via piecewise quadratic functions. Zbl 1364.41010
Tian, Haiyan; Ding, Jiu; Rhee, Noah H.
2016
Solving Fredholm integral equations via a piecewise linear maximum entropy method. Zbl 1416.65538
Jin, Congming; Ding, Jiu
2016
Complete commuting solutions of the Yang-Baxter-like matrix equation for diagonalizable matrices. Zbl 1443.15010
Dong, Qixiang; Ding, Jiu
2016
Commuting solutions of the Yang-Baxter matrix equation. Zbl 1315.15014
Ding, J.; Zhang, C.; Rhee, N. H.
2015
Computing solutions of the Yang-Baxter-like matrix equation for diagonalisable matrices. Zbl 1315.65043
Ding, J.; Rhee, Noah H.
2015
A piecewise quadratic maximum entropy method for the statistical study of chaos. Zbl 1298.65192
Upadhyay, Tulsi; Ding, Jiu; Rhee, Noah H.
2015
On the structure of the spectral solutions of the Yang-Baxter matrix equation. Zbl 1314.15011
Ding, Jiu; Zhang, Chenhua
2014
When a matrix and its inverse are nonnegative. Zbl 1339.15022
Ding, J.; Rhee, N. H.
2014
Spectral solutions of the Yang-Baxter matrix equation. Zbl 1262.15012
Ding, J.; Rhee, N. H.
2013
Further solutions of a Yang-Baxter-like matrix equation. Zbl 1292.15013
Ding, Jiu; Zhang, Chenhua; Rhee, Noah H.
2013
Solutions of the Yang-Baxter matrix equation for an idempotent. Zbl 1264.15013
Cibotarica, A.; Ding, Jiu; Kolibal, J.; Rhee, Noah H.
2013
A unified maximum entropy method via spline functions for Frobenius-Perron operators. Zbl 1268.41020
Ding, Jiu; Rhee, Noah H.
2013
A nontrivial solution to a stochastic matrix equation. Zbl 1287.15003
Ding, J.; Rhee, N. H.
2012
Birkhoff’s ergodic theorem and the piecewise-constant maximum entropy method for Frobenius-Perron operators. Zbl 1263.41012
Ding, Jiu; Rhee, Noah H.
2012
On the norm convergence of a piecewise linear least squares method for Frobenius-Perron operators. Zbl 1368.37084
Ding, J.; Rhee, Noah H.
2012
A maximum entropy method based on piecewise linear functions for the recovery of a stationary density of interval mappings. Zbl 1231.37042
Ding, Jiu; Jin, Congming; Rhee, Noah H.; Zhou, Aihui
2011
On the equality of algebraic and geometric multiplicities of matrix eigenvalues. Zbl 1236.15023
Ding, J.; Rhee, Noah H.
2011
A maximum entropy method based on orthogonal polynomials for Frobenius-Perron operators. Zbl 1262.41013
Ding, Jiu; Rhee, Noah H.
2011
Piecewise linear least squares approximations of Frobenius-Perron operators. Zbl 1204.65007
Ding, J.; Rhee, N. H.
2010
Statistical properties of deterministic systems. Zbl 1171.37001
Ding, Jiu; Zhou, Aihui
2009
Nonnegative matrices, positive operators, and applications. Zbl 1205.15048
Ding, Jiu; Zhou, Aihui
2009
The recursive formulation of particular solutions for some elliptic PDEs with polynomial source functions. Zbl 1364.65271
Ding, Jiu; Tian, H. Y.; Chen, C. S.
2009
On the dimension of Sierpiński pedal triangles. Zbl 1168.28306
Ding, Jiu; Li, Zhao
2009
Chaos control in an investment model with straight-line stabilization method. Zbl 1139.93345
Yao, H. X.; Wu, C. Y.; Jiang, D. P.; Ding, J.
2008
Characteristic polynomials of some perturbed matrices. Zbl 1154.15011
Ding, Jiu; Zhou, Aihui
2008
A spectrum theorem for perturbed bounded linear operators. Zbl 1161.47004
Ding, Jiu; Zhou, Aihui
2008
Sierpiński pedal triangles. Zbl 1173.28006
Zhang, Xin-Min; Hitt, L. Richard; Wang, Bin; Ding, Jiu
2008
Eigenvalues of rank-one updated matrices with some applications. Zbl 1139.15003
Ding, Jiu; Zhou, Aihui
2007
The eigenvalue problem of a specially updated matrix. Zbl 1113.15010
Ding, Jiu; Yao, Guangming
2007
The maximum entropy method applied to stationary density computation. Zbl 1112.65007
2007
Integral and nonnegativity preserving approximations of functions. Zbl 1114.41004
Ding, J.; Eifler, Larry; Rhee, N. H.
2007
A posteriori error estimates for Markov approximations of Frobenius-Perron operators. Zbl 1119.41018
Ding, Jiu; Jin, Congming; Zhou, Aihui
2007
A modified piecewise linear Markov approximation of Markov operators. Zbl 1107.65009
Ding, J.; Rhee, N. H.
2006
Some results on structured $$M$$-matrices with an application to wireless communications. Zbl 1105.15018
Ding, Jiu; Pye, Wallace; Zhao, Lian
2006
Approximations of Frobenius-Perron operators via interpolation. Zbl 1059.65123
Ding, J.; Rhee, N. H.
2004
New perturbation results on pseudo-inverses of linear operators in Banach spaces. Zbl 1044.47011
Ding, Jiu
2003
On the perturbation of the reduced minimum modulus of bounded linear operators. Zbl 1047.47010
Ding, J.
2003
Markov chains and dynamic geometry of polygons. Zbl 1024.51026
Ding, Jiu; Hitt, L. Richard; Zhang, Xin-Min
2003
On the expression of generalized inverses of perturbed bounded linear operators. Zbl 1039.47001
Ding, Jiu
2003
Finite approximations of Markov operators. Zbl 1013.65140
Ding, Jiu; Li, Tien Yien; Zhou, Aihui
2002
Maximum entropy approximation for Lyapunov exponents of chaotic maps. Zbl 1059.37024
2002
Structure preserving finite element approximations of Markov operators. Zbl 1073.37091
Ding, Jiu; Zhou, Aihui
2002
Minimal distance upper bounds for the perturbation of least squares problems in Hilbert spaces. Zbl 1022.47007
Ding, J.
2002
On the existence of solutions to equality constrained least-squares problems in infinite-dimensional Hilbert spaces. Zbl 1051.47008
Ding, J.
2002
Representations for Moore-Penrose inverses in Hilbert spaces. Zbl 0982.47003
Wei, Yimin; Ding, Jiu
2001
On the spectrum and pseudoinverse of a special bordered matrix. Zbl 0981.15006
Ding, Jiu; Pye, Wallace C.
2001
Parallel computation of invariant measures. Zbl 0997.65007
Ding, J.; Wang, Z.
2001
Constructive approximations of Markov operators. Zbl 0991.37004
Ding, Jiu; Zhou, Aihui
2001
Lower and upper bounds in the perturbation of general linear algebraic equations. Zbl 0985.65029
Ding, Jiu
2001
On estimating absolutely continuous invariant measures. Zbl 1031.37004
Ding, Jiu; Zhou, Aihui
2001
Perturbation of systems of linear algebraic equations. Zbl 0956.15003
Ding, Jiu
2000
Error estimates for quasi-compact Markov operators. Zbl 0968.60077
Ding, Jiu; Hunt, Fern Y.
2000
Absolutely continuous invariant measures for piecewise $$C^2$$ and expanding mappings in higher dimensions. Zbl 1009.37012
Ding, Jiu; Zhou, Aihui
2000
Perturbation bounds for least squares problems with equality constraints. Zbl 0922.15012
Ding, Jiu
1999
A generalization of a classic theorem in the perturbation theory for linear operators. Zbl 0944.47009
Ding, J.; Huang, L. J.
1999
A finite element method for the Frobenius-Perron operator equation. Zbl 0977.65104
Ding, Jiu; Zhou, Aihui
1999
The projection method for a class of Frobenius-Perron operators. Zbl 0943.47042
Ding, J.; Zhou, A.
1999
A maximum entropy method for solving Frobenius-Perron operator equations. Zbl 0940.37001
Ding, J.
1998
A convergence rate analysis for Markov finite approximations to a class of Frobenius-Perron operators. Zbl 1003.47026
Ding, Jiu; Li, Tien Yien
1998
New perturbation results for equality-constrained least squares problems. Zbl 0893.65021
Ding, Jiu; Hang, Weihua
1998
Perturbation results for projecting a point onto a linear manifold. Zbl 0913.65034
Ding, Jiu
1998
The point spectrum of Frobenius-Perron and Koopman operators. Zbl 0892.47010
Ding, J.
1998
Invariant measures and their computation. Zbl 1054.37500
Ding, Jiu; Zhou, Aihui
1998
On the continuity of generalized inverses of linear operators in Hilbert spaces. Zbl 1052.47500
Ding, J.; Huang, L. J.
1997
Absolutely continuous invariant measure of a piecewise concave mapping of $$[0,1]$$. Zbl 0868.47006
Ding, J.
1997
Laminar flow heat transfer to viscous power-law fluids in double-sine ducts. Zbl 0922.76048
Manglik, R. M.; Ding, J.
1997
Decomposition theorems for Koopman operators. Zbl 0868.47005
Ding, Jiu
1997
Finite approximations of Frobenius-Perron operators. A solution of Ulam’s conjecture to multi-dimensional transformations. Zbl 0890.58035
Ding, Jiu; Zhou, Aihui
1996
Perturbation of generalized inverses of linear operators in Hilbert spaces. Zbl 0867.47003
Ding, J.; Huang, L. J.
1996
Computing invariant measures of piecewise convex transformations. Zbl 1081.37500
Ding, J.
1996
Piecewise linear Markov approximations of Frobenius-Perron operators associated with multi-dimensional transformations. Zbl 0907.47025
Ding, Jiu; Zhou, Ai Hui
1995
On the perturbation of the least squares solutions in Hilbert spaces. Zbl 0817.47017
Ding, J.; Huang, L. J.
1994
The projection method for computing multidimensional absolutely continuous invariant measures. Zbl 0972.28501
Ding, Jiu; Zhou, Aihui
1994
The spectral analysis of Frobenius-Perron operators. Zbl 0830.47022
Ding, J.; Du, Q.; Li, T. Y.
1994
A new approach to Frobenius-Perron operators. Zbl 0819.47043
Ding, Jiu; Hornor, William E.
1994
A closed range theorem for the Frobenius-Perron operator and its application to the spectral analysis. Zbl 0804.47032
Ding, J.
1994
High order approximation of the Frobenius-Perron operator. Zbl 0769.65025
Ding, J.; Du, Q.; Li, T. Y.
1993
Projection solutions of Frobenius-Perron operator equations. Zbl 0779.41016
Ding, Jiu; Li, Tien Tien
1993
Perturbation analysis for the projection of a point to an affine set. Zbl 0784.15014
Ding, Jiu
1993
Inclusion of static indetermination in the mathematical model for nonlinear dynamic analyses of multi-bearing rotor system. Zbl 0925.73378
Ding, J.; Krodkiewski, J. M.
1993
Markov finite approximation of Frobenius-Perron operator. Zbl 0758.28014
Ding, Jiu; Li, Tien Yien
1991
A polynomial-time predictor-corrector algorithm for a class of linear complementarity problems. Zbl 0752.90079
Ding, Jiu; Li, Tien-Yien
1991
An algorithm based on weighted logarithmic barrier functions for linear complementarity problems. Zbl 0717.90076
Ding, Jiu; Li, Tien-Yien
1990
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#### Cited by 377 Authors

 79 Ding, Jiu 18 Rhee, Noah H. 16 Zhou, Aihui 15 Wei, Yimin 14 Huang, Qianglian 10 Chen, Guoliang 8 Deng, Chunyuan 8 Jin, Congming 7 Wei, Musheng 7 Xue, Yifeng 7 Zhou, Duanmei 6 Bollt, Erik M. 6 Wang, Yuwen 6 Zhu, Lanping 5 Froyland, Gary 5 Li, Tien-Yien 4 Cao, Jianbing 4 Chappell, David J. 4 Islam, Mohammad Shafiqul 4 Tanner, Gregor K. 4 Zhang, Chenhua 3 Adam, Mansour Saeed Ibrahim 3 Bahsoun, Wael 3 Bose, Christopher J. 3 Galatolo, Stefano 3 Ma, Haifeng 3 Ma, Jipu 3 Murray, Rua 3 Santitissadeekorn, Naratip 3 Wu, Gang 3 Zhu, Yucan 2 Asgari, Mohammad Sadegh 2 Ayyer, Arvind 2 Bapat, Ravindra Bhalchandra 2 Cai, Qingyou 2 Chen, Xiaoyan 2 Cheng, Guanghui 2 Courbage, Maurice 2 Dong, Qixiang 2 Dopazo, Esther 2 Du, Hongke 2 Du, Qiang 2 Ghil, Michael 2 González-Tokman, Cecilia 2 Huang, Ting-Zhu 2 Jiang, Tongsong 2 Junge, Oliver 2 Klus, Stefan 2 Kumar, Ashim 2 Li, Liang 2 Li, Wei 2 Ling, Sitao 2 Miller, Walter M. 2 Mohseni Moghadam, M. 2 Nekorkin, Vladimir I. 2 Raeburn, Iain 2 Ramesh, Golla 2 Sabeti, Rostam 2 Schütte, Christof 2 Shen, Dongmei 2 Terlaky, Tamás 2 Tian, Haiyan 2 Upadhyay, Tulsi 2 Wang, Dingkun 2 Wang, Qiqi 2 Xiao, Xiangchun 2 Xiong, Zhiping 2 Yu, Jiena 2 Zhang, Naimin 2 Zhang, Yagang 2 Zhao, Jianli 2 Zheng, Zhiming 1 Ahadpour, Sodeif 1 Akar, Mehmet 1 Albertsson, Sigurdur 1 Alvarez-Martinez, Roberto 1 an Huef, Astrid 1 Arefijamaal, Ali Akbar 1 Arunkumar, G. 1 Aston, Philip J. 1 Au, Chi Yan 1 Bagheri, Shervin 1 Bai, Zi-Qiang 1 Baillon, Jean-Bernard 1 Bajars, Janis 1 Balaji, Ramamurthy 1 Bangura, Raymond Manna 1 Bebiano, Natália Isabel Quadros 1 Behnia, Sohrab 1 Belotti, Pietro 1 Bénasséni, Jacques 1 Billings, Lora 1 Bishop, Shannon 1 Blonigan, Patrick J. 1 Bofill, Josep Maria 1 Borobia, Alberto 1 Brunton, Bingni W. 1 Cai, Jing 1 Cameron, Thomas R. 1 Canogar, Roberto ...and 277 more Authors
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#### Cited in 100 Serials

 35 Applied Mathematics and Computation 29 Linear Algebra and its Applications 18 Applied Mathematics Letters 13 Journal of Mathematical Analysis and Applications 11 Nonlinear Analysis. Theory, Methods & Applications 10 Journal of Computational and Applied Mathematics 10 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 8 Linear and Multilinear Algebra 7 Physica D 6 Computers & Mathematics with Applications 6 Journal of Statistical Physics 6 Acta Mathematica Sinica. English Series 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 International Journal of Computer Mathematics 5 Chaos 4 Journal of Computational Physics 4 Chaos, Solitons and Fractals 4 Ergodic Theory and Dynamical Systems 4 East Asian Journal on Applied Mathematics 3 Numerical Functional Analysis and Optimization 3 Computational and Applied Mathematics 3 SIAM Journal on Applied Dynamical Systems 3 Banach Journal of Mathematical Analysis 3 Journal of Computational Dynamics 2 Rocky Mountain Journal of Mathematics 2 Journal of Optimization Theory and Applications 2 Proceedings of the American Mathematical Society 2 Stochastic Analysis and Applications 2 SIAM Journal on Matrix Analysis and Applications 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Mathematical Programming. Series A. Series B 2 Fractals 2 Engineering Analysis with Boundary Elements 2 Journal of Difference Equations and Applications 2 Nonlinear Dynamics 2 Journal of Inequalities and Applications 2 Operators and Matrices 2 Numerical Algebra, Control and Optimization 1 Discrete Applied Mathematics 1 International Journal of Control 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Theoretical Physics 1 Israel Journal of Mathematics 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Mathematics of Computation 1 Advances in Mathematics 1 Automatica 1 Calcolo 1 Czechoslovak Mathematical Journal 1 Journal of Multivariate Analysis 1 Results in Mathematics 1 SIAM Journal on Numerical Analysis 1 Applied Mathematics and Mechanics. (English Edition) 1 Probability Theory and Related Fields 1 Algorithmica 1 Queueing Systems 1 Science in China. Series A 1 Annals of Operations Research 1 Random Structures & Algorithms 1 Aequationes Mathematicae 1 Communications in Statistics. Theory and Methods 1 SIAM Journal on Applied Mathematics 1 Stochastic Processes and their Applications 1 SIAM Journal on Scientific Computing 1 Numerical Linear Algebra with Applications 1 Journal of the Egyptian Mathematical Society 1 Monte Carlo Methods and Applications 1 Complexity 1 ELA. The Electronic Journal of Linear Algebra 1 Journal of Mathematical Chemistry 1 Differential Equations and Dynamical Systems 1 Algebras and Representation Theory 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of High Energy Physics 1 Annales Henri Poincaré 1 Archives of Computational Methods in Engineering 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Journal of the Australian Mathematical Society 1 Journal of Applied Mathematics 1 Missouri Journal of Mathematical Sciences 1 Mediterranean Journal of Mathematics 1 Science in China. Series F 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Complex Analysis and Operator Theory 1 Frontiers of Mathematics in China 1 Advances in Applied Mathematics and Mechanics 1 Science China. Mathematics 1 Science China. Information Sciences 1 Annals of Functional Analysis 1 Journal of Applied Analysis and Computation 1 Axioms 1 Transactions on Combinatorics 1 Mathematics 1 Journal of Econometric Methods 1 Journal of Operators 1 International Journal of Applied and Computational Mathematics 1 Open Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Algebraic Combinatorics
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#### Cited in 40 Fields

 84 Numerical analysis (65-XX) 82 Linear and multilinear algebra; matrix theory (15-XX) 75 Dynamical systems and ergodic theory (37-XX) 73 Operator theory (47-XX) 18 Probability theory and stochastic processes (60-XX) 15 Measure and integration (28-XX) 14 Functional analysis (46-XX) 12 Operations research, mathematical programming (90-XX) 11 Statistics (62-XX) 10 Combinatorics (05-XX) 9 Partial differential equations (35-XX) 9 Approximations and expansions (41-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Computer science (68-XX) 8 Associative rings and algebras (16-XX) 8 Systems theory; control (93-XX) 7 Statistical mechanics, structure of matter (82-XX) 7 Biology and other natural sciences (92-XX) 6 Ordinary differential equations (34-XX) 5 Integral equations (45-XX) 4 Nonassociative rings and algebras (17-XX) 4 Quantum theory (81-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Fluid mechanics (76-XX) 2 Commutative algebra (13-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Optics, electromagnetic theory (78-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Group theory and generalizations (20-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX)