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Research Grants
- Preconditioning iterative methods for partial differential
equation constrained optimization,
NSFC 11371145, 01/2014–12/2017
- Some topics on matrix equations, perturbations and preconditioning
(participant), NSFC 11071079, 01/2011–12/2013
- Combination analysis on matrix entries (participant),
NSFC 10971070, 01/2010-12/2012
- Iterative methods for saddle point problems and matrix equations,
SMNSF 09ZR1408700, 08/2009–07/2011
- Fast iterative methods for Toeplitz-like systems,
NSFC 10501013, 01/2006–12/2008
- Singular values, eigenvalues and norms of matrices (participant),
NSFC 10571060, 01/2006–12/2008
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Publications
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Y. B. Lu and J. Y. Pan,
Shifted power method for computing tensor H-eigenpairs,
Numerical Linear Algebra with Applications, Vol. 23, 410--426, 2016
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J. Y. Pan, R. H. Ke, M. K. Ng and H. W. Sun,
Preconditioning Techniques for Diagonal-times-Toeplitz Matrices in Fractional Diffusion Equations,
SIAM Journal on Scientific Computing, Vol. 36, No. 6, A2698--A2719, 2014
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M. K. Ng and J. Y. Pan,
Weighted Toeplitz Regularized Least Squares Computation for Image Restoration,
SIAM Journal on Scientific Computing, Vol. 36, No. 1, B94--B121, 2014
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J. Y. Fan and J. Y. Pan,
On the convergence rate of the inexact Levenberg-Marquardt method,
Journal of Industrial and Management Optimization, Vol.7, No.1, 199--210, 2011.
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J. Y. Fan and J. Y. Pan,
An improved trust region algorithm for nonlinear equations,
Computational Optimization and Applications, Vol.48, No.1, 59--70, 2011.
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J. Y. Fan and J. Y. Pan,
A modified trust region algorithm for nonlinear equations with new updating rule of trust region radius,
International Journal of Computer Mathematics, Vol. 87, No. 14, 3186--3195, 2010
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M. K. Ng and J. Y. Pan,
Approximate Inverse Circulant-plus-Diagonal Preconditioners for Toeplitz-plus-Diagonal Matrices,
SIAM Journal on Scientific Computing, Vol. 32, No. 3, 1442--1464, 2010
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J. Y. Fan and J. Y. Pan,
A note on the Levenberg–Marquardt parameter,
Applied Mathematics and Computation, vol.207, No.2, 351--359, 2009
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J. Y. Pan, M. K. Ng and Z. Z. Bai,
New Preconditioners for Saddle Point Problems,
Applied Mathematics and Computation, Vol.172, No.2, 762--771, 2006.
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J. Y. Fan, J. Y. Pan,
Convergence Properties of a Self-adaptive Levenberg-Marquardt Algorithm Under Local Error Bound Condition,
Computational Optimization and Applications, Vol.34, No.1, 47--62, 2006.
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Z. Z. Bai, M. K. Ng and J. Y. Pan,
On alterating splitting waveform relaxation method and its successive overrelaxation acceleration,
Computers and Mathematics with Applications, Vol.49, No.2-3, 157--170, 2005.
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J. Y. Pan, Z. Z. Bai and M. K. Ng,
Two-step waveform relaxation methods for implicit linear initial value problems,
Numerical Linear Algebra with Applications, Vol.12, No.2-3, 293--304, 2005.
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Z. Z. Bai, G. H. Golub and J. Y. Pan,
Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite linear systems,
Numerische Mathematik, Vol.98, No.1, 1--32, 2004.
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J. Y. Fan and J. Y. Pan,
Inexact Levenberg-Marquardt method for nonlinear equations,
Discrete and Continuous Dynamical Systems Series B, Vo.4, No.4, 1223--1232, 2004
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J. Y. Pan and Z. Z. Bai,
On the convergence of waveform relaxation methods for linear initial value problems,
Journal of Computational Mathematics, Vol.22, No.5, 681--698, 2004
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J. Y. Pan,
Limit cycles of the polynomial Lienard system of degree 4,
Journal of NanJing University Mathematical Biquarterly, Vol.17, No.2, 211--217, 2000.
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D. J. Luo and J. Y. Pan,
Some supplements of Poincare bifurcations in quadratic systems,
Journal of Natural Science Nanjing Normal University, Vol.2, No.1, 6--9, 2000.
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J. Y. Pan,
Poincare bifurcations in the quadratic systems,
Annals of differential Equations, Vol.15, No.4, 407--416, 1999.
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