
宋广景,教授,发展规划与学科建设处处长,山东省泰山学者青年专家、鸢都学者特聘教授。主要从事矩阵、张量分析及其应用研究。
招生专业:电子信息、人工智能、计算数学、信号处理
研究方向:计算数学、人工智能
联系方式:05368785877,sgjshu@163.com
学术成果:
1.G.J. Song, M. Ng, Nonnegative Low Rank Matrix Approximation for Nonnegative Matrices, Applied Mathematics Letters (in press)
2.G.J. Song, M. Ng and X. Zhang, Robust Tensor Completion Using Transformed Tensor Singular Value Decomposition, Numerical Linear Algebra with Applications (in press). X. Liu,
3.G.J. Song*, Y.Zhang, Determinantal Representations of the Solutions to Systems of Generalized Sylvester Equations Adv. Appl. Clifford Algebras (2020) 30: 12. https://doi.org/ 10.1007/s00006 -019- 1038-0
4.G.J. Song, S.Yu, Cramer’s Rule for the General Solution to a Restricted System of Quaternion Matrix Equations, Adv. Appl. Clifford Algebras (2019) 29: 91. https://doi.org/10.1007/ s00006-019- 1000-1.
5.Z. Jia, M. Ng and G.J. Song,(共同第一) A Quaternion Framework for Robust Color Images Completion, Numerical Linear Algebra with Applications 26(6) (2019)(SCI)
6.Z.Jia, M.Ng and G.J. Song(共同第一), Lanczos Method for Large-Scale Quaternion Singular Value Decomposition, Numerical Algorithms, 82, (2019) 699–717 (SCI)
7.G.J. Song*,Y.Zhou, Block Independence in Various Generalized Inverses of Partitioned Quaternion Matrices, Iranian Journal of Science and Technology, Transactions A: Science 43(3) (2019), 1071–1080
8.G.J. Song*, Q.Wang, S.Yu, Cramer’s rule for a system of quaternion matrix equations with applications, Applied Mathematics and Computation, 336, 2018, 490-499
9.G.J. Song*, Determinantal expression of the general solution to a restricted system of quaternion matrix equations with applications Bulletin of the Korean Mathematical Society 55(4)(2018):1285-1301(SCI)
10.G.J. Song*, S. Yu, Nonnegative definite and Re-nonnegative definite solutions to a system of matrix equations with statistical applications, Applied Mathematics and Computation, 338, 2018, 828-841. (SCI)
11.G.J. Song*, S. Yu, The solution of a generalized sylvester quaternion matrix matrix equation and its applicaiton, Adv. Appl. Clifford Algebra, 9(2017) 1-20. (SCI)
12.G.J. Song*, C.Dong, New results on condensed Cramer’s rule for the general solution to some restricted quaternion matrix equations, J. Appl. Math. Comput. 53(2017) 321-341.(EI)
13.G.J. Song*, S. Yu, The block independence in the generalized inverse for some ordered matrices and applications, Appl. Math. Comput., 232 (2014) 399-410 .(SCI)
14.G.J. Song*, H.Chang, Cramer's rules for various solutions to some restricted quaternionic linera equations J .Appl. Math .Comput, 48 (2015) 83-109. (EI)
15.G.J. Song*, Max-min Problems on Ranks and Inertias of Hermitian Solutions to a System of Matrix Equations with Applications, Algebra Colloquium, 23 (2016)167-180 .
16.G.J. Song*, H.Chang, Equalities of various estimators in the general growth curve model and the restricted growth curve model,Journal of Statistical Planning and Inference,169(2016)88-100.
17.G.J. Song*, M.Chen, Common nonnegative definite solutions of some classical matrix equations Appl Math Comput (2014) 44:83-97.
科研项目及获奖:
[1]2015.07-2017.07, 主持中国博士后基金面上项目二等四元数矩阵广义逆和约束矩阵方程性质研究。
[2]2014.01-2014.12,主持国家自然科学基金(专项基金)天元基金:四元数矩阵方程组特殊解理论研究(11326066)。
[3]2013.10-2015.10,主持山东省优秀中青年科学家科研奖励基金计划项目:四元数矩阵广义逆性质研究(BS2013SF011)。
[4]2011.01-2012年12月,主持潍坊市科技开发项目:彩色图像压缩和信息隐藏技术研究(201104052)。
[5]2014.01-2016.12 主持山东省高校科技项目:基于秩--惯性指数方法的矩阵方程和线性模型理论研究(J14LI01)。