代表作：

1. Y. H. Dai and Y. Yuan, A Nonlinear Conjugate Gradient Method with A Strong Global Convergence Property, SIAM Journal on Optimization, 10(1)(1999), 177-182.

2. Y. H. Dai, Convergence Properties of the BFGS algorithm, SIAM Journal on Optimization, 13(3)(2002), 693-701.

3. Y. H. Dai and L. Z. Liao, R-Linear Convergence of the Barzilai and Borwein Gradient Method, IMA Journal of Numerical Analysis, 22(2002), 1-10.

4. Y. H. Dai and R. Fletcher, New Algorithms for Singly Linearly Constrained Quadratic Programs Subject to Lower and Upper Bounds, Mathematical Programming, 106(2006), 403-421.

5. Y. H. Dai, Nonlinear Conjugate Gradient Methods, Wiley Encyclopedia of Operations Research and Management Science, (2011), 1-20. （Wiley运筹与管理百科全书邀请综述）

6. Y. H. Dai, A Perfect Example for the BFGS Method, Mathematical Programming, 138(1-2) (2013), 501-530.

7. Y. H. Dai and C. X. Kou, A Nonlinear Conjugate Gradient Algorithm with An Optimal Property and An Improved Wolfe Line Search, SIAM Journal on Optimization, 23(1)(2013), 296-320.

8. 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, 61(2013), 2413-2423. （会议论文获2011年国际通信最佳论文奖）

9. W. K. Chen and Y. H. Dai, On the Complexity of Sequentially Lifting Cover Inequalities for the Knapsack Polytope, Science China Mathematics, 64(1)(2021), 211-220.

10. Y. H. Dai and L. W. Zhang, The Augmented Lagrangian Method Can Approximately Solve Convex Optimization with Least Constraint Violation, Mathematical Programming, Series B, 200(2023), 633-667. 

详细论文目录见：http://lsec.cc.ac.cn/~dyh/publication.html

著作：

1. 戴彧虹 袁亚湘，非线性共轭梯度法，上海科学技术出版社，2000年，上海

2. 戴彧虹 张立卫，最小约束违背优化，科学出版社，2023年，北京（即将出版)