- Z.W. Chen, Y.H. Dai and J. Liu, On the Superlinear Local Convergence of a Penalty-Free Method,
Submitted to
*Mathematical Programming.* - Z.W. Chen, Y.H. Dai and F. Liu, A Penalty-Free Line Search Method for Inequality Constrained
Optimization with Infeasibility Detection, Submitted to
*IMA Journal of Numerical Analysis.* - F.M. Xu, Y.H. Dai, Z.H. Zhao and Z.B. Xu, Efficient Projected Gradient Methods for A Class of $L_0$
Constrained Optimization Problems, Submitted to
*Mathematical Programming.* - R. Diao, Y.F. Liu and Y.H. Dai, A New Fully Polynomial Time Approximation Scheme for the Interval
Subset Sum Problem, Submitted to
*Journal of Global Optimization,*in revision. - Y.H. Dai, D. Han, X. Yuan and W. Zhang,A Squential Updating Scheme of the Lagrangian
Multiplier for Separable Convex Programming,
*Mathematics of Computation,*Vol. 86, No. 303, pp. 315-343, 2016. - Y.F. Liu, S. Ma, Y.H. Dai and S. Zhang,A Smoothing SQP Framework for A Class of Composite
$L_q$ Minimization over Polyhedron,
*Mathematical Programming, Ser. A,*Vol. 158, pp. 467-500, 2016. - Y. Chen, Y.H. Dai and D. Han, Fiber Orientation Distribution Estimation Using A
Peaceman-Rachford Splitting Method,
*SIAM Journal on Imaging Sciences,*Vol. 9, No. 2, pp. 573-604, 2016. - Y.H. Dai and C.X. Kou, A Barzilai-Borwein Conjugate Gradient Method,
*Science China Mathematics,*Vol. 59, No. 8, pp. 1511-1524, 2016. - C. Tan, S. Ma, Y.H. Dai and Y. Qian, Barzilai-Borwein Step Size for Stochastic Gradient Descent,
*The 30th Conference on Neural Information Processing Systems (NIPS),*Barcelona, Spain, 2016 (accepted) - Z.W. Chen and Y.H. Dai, A Line Search Exact Penalty Method with Bi-Object Strategy for Nonlinear
Constrained Optimization,
*Journal of Computational and Applied Mathematics,*Vol. 300, pp. 245-258, 2016. - F. Xu, M. Sun and Y.H. Dai, An Adaptive Lagrangian Algorithm for Optimal Portofolio Deleveraging
with Cross-Impact,
*Journal of Systems Science and Complexity,*2016 (to appear) - Z.B. Li and Y.H. Dai, Optimal Beamformer Design in the Reverberant Environment (in Chinese),
*Scientia Sinica Mathematica,*Vol. 46, No. 6, pp. 877-892, 2016. - M. Liu, C. Cui, X. Tong and Y.H. Dai,Algorithms, Softwares and Recent developments of Mixed
Integer Nonlinear Programming (in Chinese),
*Scientia Sinica Mathematica,*Vol. 46, No. 1, pp. 1-20, 2016. - M. Liu, X. Tong and Y.H. Dai, Algorithms and Recent Developments of Packing
Problems,
*Mathematica Numerica Sinica,*Vol. 38, No. 3, pp. 257-280, 2016. - G.X. Li, W.K. Chen, Z. Wan and Y.H. Dai, Integer Programming Model for Transport Aircraft Fleet
Cargo Loading,
*Journal on Numerical Methods and Computer Applications,*Vol. 37, No. 3, pp. 233-244, 2016. - Y.H. Dai, M. Al-Baali and X. Yang, A Positive Barzilai-Borwein-Like Stepsize and An
Extension for Symmetric Linear Systems, In: M. Al-Baali, L. Grandinetti and A. Purnama
eds.,
*Vol. 134 of the series Springer Proceedings in Mathematics & Statistics: Numerical Analysis and Optimization,*pp. 59-75, 2015. - B. Jiang and Y.H. Dai, A Framework of Constraint Preserving Update Schemes for
Optimization on Stiefel Manifold,
*Mathematical Programming, Ser. A,*Vol. 153, No. 2, pp. 535-575, 2015. - Y.F. Liu, Y.H. Dai and S. Ma, Joint Power and Admission Control: Non-Convex Approximation
and An Effective Polynomial Time Deflation Approach,
*IEEE Transactions on Signal Processing,*Vol. 63, No. 14, pp. 3641-3656, 2015. - C.X. Kou and Y.H. Dai, A Modified Self-Scaling Memoryless Broyden-Fletcher-Goldfarb-
Shanno Method for Unconstrained Optimization,
*Journal of Optimization Theory and Applications,*Vol. 165, pp. 209-224, 2015. - C. Hao, C. Cui and Y.H. Dai, A Sequential Subspace Projection Method for Extreme
Z-Eigenvalues of Supersymmetric Tensors,
*Numerical Linear Algebra and Applications,*Vol. 22, pp. 283-298, 2015. - H. Gao, Y.H. Dai and X.J. Tong, Barzilai-Borwein-Like Methods for The Extreme Eigenvalue
Problem,
*Journal of Industrial and Management Optimization,*Vol. 11, No. 3, pp. 999-1019, 2015. - C. Hao, C. Cui and Y.H. Dai, A Feasible Trust-Region Method for Calculating Extreme
Z-Eigenvalues of Symmetric Tensors,
*Pacific Journal of Optimization,*, Vol. 11, No. 2, pp. 291-307, 2015. - Y.H. Dai and N. Yamashita, Analysis of Sparse Quasi-Newton Updates with Positive
Definite Matrix Completion,
*Journal of the Operations Research Society of China,*Vol. 2, No. 1, pp. 39-56, 2014. - Y.F. Liu and Y.H. Dai, On the Complexity of Joint Subcarrier and Power Allocation for Multi-User
OFDMA Systems,
*IEEE Transactions on Signal Processing,*Vol. 62, No. 3, pp. 583-596, 2014. - C. Cui, Y.H. Dai and J.W. Nie, All Real Eigenvalues of Symmetric Tensors,
*SIAM Journal on Matrix Analysis and Applications,*Vol. 35, No. 4, pp. 1582-1601, 2014. - B. Jiang, C. Cui and Y.H. Dai, Unconstrained Optimization Models for Computing
Several Extreme Eigenpairs of Real Symmetric Matrices,
*Pacific Journal of Optimization,*10:1, pp. 55-71, 2014. - Y.Q. Hu, C. Hao and Y.H. Dai, Projected Gradient Algorithms for Optimization over Order
Simplices,
*Optimization Methods and Software,*Vol. 29, No. 5, 1090-1117, 2014. - Y.H.Dai and X.W. Liu, Advances in linear and nonlinear programming (in Chinese), Operations Research Transactions, Vol. 18, No. 1, pp. 69-92, 2014.
- Y.H. Dai,
A Perfect Example for the BFGS Method,
*Mathematical Programming*, Vol. 138, No. 1-2, pp. 501-530, 2013. - Y.H. Dai, C.X. Kou, A Nonlinear Conjugate Gradient Algorithm with An Optimal Property and An Improved Wolfe Line Search, SIAM Journal on Optimization, Vol. 23, No. 1, pp. 296-320, 2013.
- Y.H. Dai,
A New Analysis on the Barzilai-Borwein Gradient Method,
*Journal of Operations Research Society of China*, Vol. 1, No. 2, pp. 187-198, 2013. - Y.N. Chen, Y.H. Dai, D. Han and W. Sun, Positive Semidefinite Generalized Diffusion
Tensor Imaging via Quadratic Semidefinite Programming,
*SIAM Journal on Imaging Sciences,*Vol. 6, No. 3, pp. 1531-1552, 2013. - Y.F. Liu, M. Hong and Y.H. Dai,
Max-Min Fairness Linear Transceiver Design Problem for a Multi-User SIMO
Interference Channel Is Polynomial Time Solvable,
*IEEE Signal Processing Letters,*Vol. 20, No. 1, pp. 27-30, 2013. - Y.F. Liu, Y.H. Dai and Z.Q. Luo,
Max-Min Fairness Linear Transceiver Design for a Multi-User MIMO Interference Channel,
*IEEE Transactions on Signal Processing,*Vol. 61, No. 9, pp. 2413-2423, 2013. - Y.F. Liu, Y.H. Dai and Z.Q. Luo,
Joint Power and Admission Control
via Linear Programming Deflation,
*IEEE Transactions on Signal Processing,*Vol. 61, No. 6, pp. 1327-1338, 2013. - B. Jiang and Y.H. Dai, Feasible Barzilai-Borwein-Like Methods for Extreme Symmetric
Eigenvalue Problems,
*Optimization Methods and Software,*Vol. 28, No. 4, pp.756-784, 2013. - M.H. Cheng and Y.H. Dai, Adaptive Nonmonotone Spectral Residual Method for Large-scale
Nonlinear Systems,
*Pacific Journal of Optimization,*Vol. 8, No. 1, pp. 15-25, 2012. - Y.H. Dai, A General Convergence Result for the BFGS Method,
*Computational Methods for Applied Inverse Problems*(Ed. by Y. F. Wang, A. G. Yagola, C. C. Yang and W. de Gruyter), pp. 241-248, 2012. - Y.H. Dai, Nonlinear Conjugate Gradient Methods, Wiley Encyclopedia of Operations Research and Management Science, DOI:10.1002/9780470400531.eorms0183, Published Online, 15 Feb, 2011.
- Y.H. Dai, Convergence of Conjugate Gradient Methods with Constant Stepsizes,
*Optimization Methods and Software,*Vol. 26, No. 6, pp.895-909, 2011. - Y.F. Liu, Y.H. Dai and Z.Q. Luo, Coordinated
Beamforming for MISO Intereference Channel: Complexity Analysis and Efficient Algorithms,
*IEEE Transactions on Signal Processing,*Vol. 59, No. 3, pp. 1142-1157, 2011. - Y.F. Liu, Y.H. Dai and Z.Q. Luo, On the Complexity of Leakage Interference Minimization
for Interference Alignment, in:
*Proc. IEEE 12th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC),*pp. 471-475, 2011. - Y.F. Liu, Y.H. Dai and Z.Q. Luo, Max-Min Fairness Linear Transceiver Design for A
Multi-User MIMO Interference Channel, in:
*Proc. IEEE International Conference on Communications,*pp. 1-5, 2011. - Y.H. Dai and N. Yamashita, Convergence Analysis of Sparse Quasi-Newton Updates
with Positive Definite Matrix Completion for Two-Dimensional Functions,
*Numerical Algebra, Control and Optimization,*Vol. 1, No. 1, pp. 61-69, 2011. - Y.H. Dai, Convergence Analysis of Nonlinear Conjugate Gradient Methods, In:
*Optimization and Regularization for Computational Inverse Problems and Applications*(Y.Wang, A.G.Yagola, C.Yang eds.), pp. 157-181, 2010. - Y.F. Liu, Y.H. Dai and Z.Q. Luo, On the Complexity of Optimal Coordinated Downlink
Beamforming, in:
*Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP),*pp. 3274-3277, 2010. - M.H. Cheng and Y.H. Dai, Sparse Two-Sided Rank-One Updates for Nonlinear Equations ,
*Science in China, Series A*Vol. 53, No. 11, pp. 2907-2915, 2010. - Y.S. Fu and Y.H. Dai, Improved Projected Gradient Algorithms for Singly Linearly Constrained
Quadratic Programs Subject to Lower and Upper Bounds ,
*Asia-Pacific Journal of Operational Research,*Vol. 27, No. 1, pp. 71-84, 2010. - G.H. Yu, L. Q. Qi and Y.H. Dai, On Nonmonotone Chambolle Gradient Projection
Algorithms for Total Variation Image Restoration,
*Journal of Mathematical Imaging and Vision,*Vol. 35, No. 2, pp. 143-154, 2009. - F. Li, Y. Fu, Y.H. Dai, C. Siminchisescu, J. Wang, Kernel Learning by Unconstrained
Optimization,
*Proceedings of the 12th International Conference on Artificial Intelligence and Statistics (AISTATS),*Clearwater Beach, Florida, USA, Volume 1 of JMLR: WCP5, pp.328-335, 2009. - Y.H. Dai and K. Schittkowski, A Sequential Quadratic Programming Algorithm with
Non-Monotone Line Search,
*Pacific Journal of Optimization,*Vol. 4, No. 2, pp. 335-351, 2008. - L.P. Wang and Y.H. Dai, Left Conjugate Gradient Methods for Non-Hermitian Linear
Systems,
*Numerical Linear Algebra with Applications,*Vol. 15, pp. 891-909, 2008. - Z. Xu and Y.H. Dai, A Stochastic Approximation Frame Algorithm with Adaptive Directions,
*Numerical Mathematics-Theory Methods and Applications,*Vol. 1, No. 4, pp. 460-474, 2008. - Y.Q. Hu and Y.H. Dai, Inexact Barzilai-Borwein Method for Saddle Point Problems,
*Numerical Linear Algebra with Applications,*Vol. 14, pp. 299-317, 2007. - Y.H. Dai, Fast Algorithms on Projection on an Ellipsoid,
*SIAM Journal on Optimization,*Vol. 16, No. 4, pp. 986-1006, 2006. - Y.H. Dai and R. Fletcher, New Algorithms for Singly Linearly Constrained Quadratic
Programs Subject to Lower and Upper Bounds,
*Mathematical Programming,*Vol. 16, No. 3, pp. 403-421, 2006. - Y.H. Dai and X.Q. Yang, A New Gradient Method with an Optimal Stepsize Property,
*Computational Optimization and Applications,*Vol. 33, No. 1, pp. 73-88, 2006. - Y.H. Dai, W.W. Hager, K. Schittkowski and H. C. Zhang,
The Cyclic Barzilai-Borwein
Method for Unconstrained Optimization,
*IMA Journal of Numerical Analysis,*Vol. 26, No. 3, 604-627, 2006. - B. Zhou, L. Gao and Y.H. Dai, Gradient Methods with Adaptive Step-Sizes,
*Computational Optimization and Applications,*Vol. 35, No. 1, pp. 69-86, 2006. - B. Zhou, L. Gao and Y.H. Dai, Monotone Projected Gradient Methods for Large-Scale
Box-Constrained Quadratic Programming,
*Science in China, Series A,*Vol. 36, No. 5, pp. 556-570, 2006. - Y.H. Dai and R. Fletcher,
On the Asymptotic Behaviour of Some New Gradient Methods,
*Mathematical Programming (Series A),*Vol. 13, No. 3, pp. 541-559, 2005. - Y.H. Dai and R. Fletcher,
Projected Barzilai-Borwein Methods for Large-Scale Box-Constrained
Quadratic Programming,
*Numerische Mathematik,*Vol. 100, No. 1, pp. 21-47, 2005. - Y.H. Dai and Y. Yuan,
Analyses
of Monotone Gradient Methods,
*Journal of Industry and Management Optimization,*Vol. 1, No. 2, pp. 181-192, 2005. - Y.H. Dai, L.Z. Liao, D. Li, An Analysis of Barzilai-Borwein Gradient Method for Unsymmetric
Linear Equations, In:
*Optimization and control with applications*(L. Qi, K. Teo and X. Yang, eds.), Springer, pp. 183-211, 2005. - Y.H. Dai and J.Y. Yuan,
Study on Semi-Conjugate Gradient Methods for Nonsymmetric Systems,
*International Journal of Numerical Methods in Engineering,*Vol. 60, No. 8, pp. 1383-1399, 2004. - Y.H. Dai, L.Z. Liao and D. Li,
On Restart Procedures for The Conjugate Gradient Method,
accepted by
*Applied Numerical Mathematics,*Vol. 35, No. 2-4, pp. 249-261, 2004. - Y.H. Dai,
Alternate Step Gradient Method,
*Optimization,*Vol. 52, No. 4-5, pp. 395-415, 2003. - Y.H. Dai,
A Family of Hybrid Conjugate Gradient Methods for Unconstrained Optimization,
*Mathematics of Computation,*Vol. 72, pp. 1317-1328, 2003. - Y.H. Dai and Y. Yuan,
Alternate Minimization Gradient Method,
*IMA Journal of Numerical Analysis,*Vol. 23, pp. 377-393, 2003. - Y.H. Dai and Y. Yuan, A Class of Globally Convergent Conjugate Gradient Methods,
*Sciences in China (Series A),*Vol. 46, No. 2, pp. 251-261, 2003. - Y.H. Dai, Unified Convergence Analyses of Nonlinear Conjugate
Gradient Methods, In:
*Numerical Linear Algebra and Optimization*(Y. Yuan ed.), Science Press, Beijing/New York, pp. 30¡ª41, 2003. - W.B. Liu, Y.H. Dai and J. Lamb,
Novel supervisor-searcher cooperation algorithms
for minimization problems with strong noise,
*Optimization Methods and Software,*Vol. 18, pp. 246-264, 2003. - Y.H. Dai and D.C. Xu, A New Family
of Trust Region Algorithms for Unconstrained Optimization,
*Journal of Computational Mathematics,*Vol. 21, No. 2, pp. 221-228, 2003. - Y.H. Dai and Q. Ni, Testing Different Conjugate Gradient
Methods for Large-Scale Unconstrained Optimization,
*Journal of Computational Mathematics,*Vol. 21, No. 3, pp. 311-320, 2003. - Y.H. Dai, J.M. Martinez and J.Y. Yuan,
An Increasing-Angle Property of the Conjugate Gradient Method and the Implementation of Large-Scale
Minimization Algorithms with Line Searches,
*Numerical Linear Algebra and Applications,*Vol. 10, No. 4, pp. 323-334, 2003. - Y.H. Dai,
Convergence Properties of the BFGS algorithm,
*SIAM Journal on Optimization,*Vol. 13, No. 3, pp. 693-701, 2002. - Y.H. Dai and L.Z. Liao,
$R$-Linear Convergence of the Barzilai and Borwein Gradient Method,
*IMA Journal of Numerical Analysis,*Vol. 22, pp. 1-10, 2002. - Y.H. Dai,
On the Nonmonotone Line Search,
*Journal of Optimization Theory and Applications,*Vol. 112, No. 2, pp. 315-330, 2002. - Y.H. Dai, A Nonmonotone Conjugate Gradient Algorithm
for Unconstrained Optimization,
*Journal of Systems Science and Complexity,*Vol. 15, No. 2, pp. 139-145, 2002. - Y.H. Dai,
Conjugate Gradient Methods with Armijo-type
Line Searches,
*Acta Mathematicae Applicatae Sinica (English Series),*Vol. 18, No. 1, pp. 123-130, 2002. - Y.H. Dai and Y. Yuan,
A Note on the Nonlinear Conjugate Gradient Method,
*Journal of Computational Mathematics,*Vol. 20, pp. 575-582, 2002. - Y.H. Dai, J.Y. Yuan and Y. Yuan,
Modified Two-point Stepsize Gradient Methods for Unconstrained
Optimization,
*Computational Optimization and Applications,*Vol. 22, pp. 103-109, 2002. - Y.H. Dai and H.C. Zhang,
An Adaptive Two-Point Stepsize Gradient
Algorithm,
*Numerical Algorithms,*Vol. 27, pp. 377-385, 2001. - Y.H. Dai and Y. Yuan,
An Extended Class of Nonlinear Conjugate Gradient Methods,
In: D. Li eds.
*Proceedings of the 5th International Conference on Optimization: Techniques and Applications*(December 2001, Hongkong), pp. 778-785, 2001. - W.B. Liu and Y.H. Dai,
Minimization Algorithms Based on Supervisor and Searcher Cooperation,
*Journal of Optimization Theory and Applications,*Vol. 111, No. 2, pp. 359-379, 2001. - Y.H. Dai and Y. Yuan,
An Efficient Hybrid Conjugate Gradient Method for Unconstrained Optimization,
*Annals of Operations Research,*Vol. 103, pp. 33-47, 2001. - Y.H. Dai, Convergence of Nonlinear Conjugate Gradient Methods,
*Journal of Computational Mathematics,*Vol. 19, No. 5, pp. 539-548, 2001. - Y.H. Dai and Y. Yuan, A Three-parameter Family of Nonlinear Conjugate Gradient Methods,
*Mathematics of Computation,*Vol. 70, pp. 1155-1167, 2001. - Y.H. Dai and L.Z. Liao,
New Conjugacy Conditions and Related Nonlinear Conjugate Gradient Methods ,
*Applied Mathematics and Optimization,*Vol. 43, No. 1, pp. 87-101, 2001. - Y.H. Dai, New Properties of A Nonlinear Conjugate Gradient
Method,
*Numerische Mathematics,*Vol. 89, No. 1, pp. 83-98, 2001. - Y.H. Dai and Y. Yuan,
*Nonlinear Conjugate Gradient Methods,*Shanghai Scientific and Technical Publishers, Shanghai, China, 2000 (Monograph, in Chinese) - Y.H. Dai,
Some Properties of Memoryless Quasi-Newton Method,
*Journal on Numerical Methods and Computer Applications,*Vol. 1, pp. 28-32, 2000. -
Y.H. Dai and Y. Yuan, Convergence of Three-term Conjugate Gradient Methods
(in Chinese),
*Mathematica Numericia Sinica,*Vol. 21, No. 3, pp. 355-362, 1999. (see*Chinese Journal of Numerical Mathematics and Applications*Vol. 21, No. 4, pp. 69-78, 1999 for English translation). - Y.H. Dai,
Further Insight Into the Convergence of the Fletcher-Reeves Method,
*Science in China (Series A)*Vol. 42, No. 9, pp. 905-916, 1999. - Y.H. Dai, J. Y. Han, G. H. Liu, D. F. Sun, H. X. Yin, and Y. Yuan,
Convergence Properties of Nonlinear Conjugate Gradient Methods,
*SIAM Journal on Optimization,*Vol. 10, No. 2, pp. 345-358, 1999. - Y.H. Dai and Y. Yuan,
A Nonlinear Conjugate Gradient Method with A Strong Global Convergence
Property,
*SIAM Journal on Optimization,*Vol. 10, No. 1, pp. 177-182, 1999. - Y.H. Dai and Y. Yuan,
Global Convergence of the Method of Shortest Residuals,
*Numerische Mathematik,*Vol. 83, pp. 581-598, 1999. -
Y.H. Dai and Y. Yuan, Some Properties of A
New Conjugate Gradient Method, in: Y. Yuan ed.,
*Advances in Nonlinear Programming*(Kluwer, Boston), pp. 251-262, 1998. - Y.H. Dai and Y. Yuan,
Convergence Properties of the Beale-Powell Restart Algorithm,
*Science in China, series A,*Vol. 41, No. 11, pp. 1142-1150, 1998. - Y.H. Dai and Y. Yuan, Convergence of the Fletcher-Reeves
Method under A Generalized Wolfe Search (in Chinese),
*Numer. Math. J. Chinese Univ.,*Vol. 2, pp. 142-148, 1996. - Y.H. Dai and Y. Yuan,
Convergence Properties of the Conjugate Descent Method,
*Advances in Mathematics,*Vol. 6, pp. 552-562, 1996. - Y.H. Dai and Y. Yuan, Convergence Properties of the
Fletcher-Reeves Method,
*IMA Journal of Numerical Analysis,*Vol. 16, No. 2, pp. 155-164, 1996.