(1).陕西省自然科学基础研究计划，青年基金，2021JQ-493，基于自适应机制的非线性共轭梯度算法研究，2021.01-2022.12，已结题，主持.

(2).陕西省教育厅专项基金，16JK1435,光滑非线性共轭梯度法求解二阶锥约束变分不等式问题，2016.06-2017.12，已结题，主持.

(3).陕西省教育厅基金(2013JK0588)，求解变分不等式的光滑非线性共轭梯度算法, 2013.07-2015.06，已结题，主持.

[1] Xiuyun Zheng, Xiaoliang Dong, Jiarong Shi, Wei Yang, Further comment on another hybrid conjugate gradient algorithm for unconstrained optimization by Andrei. Numerical Algorithms, 84: 603-608, 2020.

[2] Xiuyun Zheng, Jiarong Shi, A modified sufficient descent Polak-Ribiére-Polyak type conjugate gradient method for unconstrained optimization problems, Algorithms,11(9):133-143, 2018.

[3] Xiuyun Zheng, Jiarong Shi, Wei Yang, Qingyan Yin, Nonmonotone smoothing Broyden-like method for generalized nonlinear complementarity problems, Journal of Applied Mathematics Computing, 54(1-2), 277-295,2017.

[4] Xiuyun Zheng, Jiarong Shi, A globally convergent conjugate gradient method with Armijo line search. Journal of Shandong University( Natural Science), 52(1): 98-101, 2017.

[5] Xiuyun Zheng，Jiarong Shi，Smoothing Newton method for generalized complementarity problems based on a new smoothing function, Applied Mathematics and Computation, 231(1),160-168,2014.