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雷渊老师介绍
雷渊
学历/学位： 博士研究生/博士
职 称： 讲师
Email： yleimath@hnu.cn
电话： 13308429655
通信地址： 湖南大学数学与计量经济学院
个人简介
雷渊,男,1978年11月出生,于2007年6月从湖南大学数学与计量经济学院应用数学专业博士毕业,毕业后留校从事教学和科学研究工作.近年来,一直从事数值代数领域的研究工作,主要的研究方向是求解约束矩阵方程的理论和算法、矩阵最佳逼近问题的理论和算法、矩阵逆特征值问题的理论和算法等,参与湖南省自然科学基金项目1项,发表学术论文和会议论文15篇,其中10篇被SCI、EI收录,1篇被ISTP收录,并参与编写研究生教材1本.
研究方向
数值代数
讲授课程
高等代数、离散数学、矩阵理论、逼近论.
主要论文
1. A.P.Liao, Z.Z.Bai and Yuan Lei Best Approximate Solution of Matrix Equation AXB+CYD=E, SIMA J. Matrix Anal. Appl., 27：3（2006), 675-688. (SCI, EI).
2. A.P.Liao and Yuan Lei Least-Squares Solutions of Matrix Inverse Problem for Bi-Symmetric Matrices with a Submatrix Constraint, Numer. Linear Algebra Appl., 14 (2007), 425-444. (SCI, EI).
. 3. A.P.Liao and Yuan Lei， The Matrix Nearness Problem for Symmetric Matrices Associated With the Matrix Equation[AXA,BXB]=[C,D]， Linear Algebra Appl., 418(2006）,939-954. (SCI, EI)
4. Yuan Lei and A. P. Liao, A minimal residual algorithm for the inconsistent matrix equation AXB=C over symmetric matrices, Appl. Math. Comput., 188(2007), 499-513
(SCI, EI)
5. A.P.Liao and Yuan Lei Least-Squares Solution with the Minimum-Norm for the Matrix Equation (AXB, GXH)=(C, D), Comp. Math. Appl.,50 (2005), 539-549. (SCI, EI)
6. A.P.Liao and Yuan Lei Optimal approximate solution of the matrix equation AXB=C over symmetric matrices, J. Comp. Math., 25:5(2007), 543-552. (SCI, EI)
7. Y. Lei and A. P. Liao, Minimization problem for symmetric orthogonal anti-symmetric matrices, J. Comput. Math., 25:2(2007), 211-220. (SCI, EI)
8. A.P.Liao, Y. Lei, X. Y. Hu, Least-squares solution with the minimum-norm for the matrix equation, Acta Mathematicae Applicatae Sinica, English Series, 23:2(2007) 1-12.
9. Yuan Lei and Anping Liao, Least-squares symmetric and skew anti-symmetric solutions of the inconsistent matrix equation AX=B. In: Advances in Matrix Theory and Applications. Chengdu：World Academic Union, 2006, 109-113.(ISTP)
10. Yanyan Zhang,Yuan Lei and Anping Liao, Least-squares solutions of the matrix equation ATXA=B over bisymmetric matrices and its optimal approximation, Numerical Mathematices – A Journal of Chinese University, 16:3(2007), 215-225.
11. S.F. Yuan, A.P.Liao, Y. Lei, Inverse Eigenvalue Problems of Tridiagonal Symmetric Matrices and Tridiagonal Bisymmetric Matrices, Comput. Math. Appl., to appear. (SCI, EI)
12. S.F. Yuan, A.P.Liao, Y. Lei, Least squares Hermitian solution of the matrix equation (AXB;CXD) = (E; F) with the least norm over the skew field of quaternions, Math. Comput.Modelling, to appear. (SCI, EI)
13. 袁仕芳,廖安平,雷渊,矩阵方程AXB+CYD=E的对称极小范数最小二乘解,计算数学,29:2(2007),203-216
14. 伍华凤,雷渊,廖安平,一类线性矩阵方程的最佳逼近解,工程数学学报,24:2(2007), 259-264. (EI)
15. 雷渊,廖安平, 线性流形上一类矩阵方程的最佳逼近问题,数值计算与计算机应用, 28:1(2007),1-10.
主要著作、教材
1. 矩阵论,湖南大学出版社,2005
主要科研项目
1.湖南省自然科学基金项目(03JJY6028).
学历/学位： 博士研究生/博士
职 称： 讲师
Email： yleimath@hnu.cn
电话： 13308429655
通信地址： 湖南大学数学与计量经济学院
个人简介
雷渊,男,1978年11月出生,于2007年6月从湖南大学数学与计量经济学院应用数学专业博士毕业,毕业后留校从事教学和科学研究工作.近年来,一直从事数值代数领域的研究工作,主要的研究方向是求解约束矩阵方程的理论和算法、矩阵最佳逼近问题的理论和算法、矩阵逆特征值问题的理论和算法等,参与湖南省自然科学基金项目1项,发表学术论文和会议论文15篇,其中10篇被SCI、EI收录,1篇被ISTP收录,并参与编写研究生教材1本.
研究方向
数值代数
讲授课程
高等代数、离散数学、矩阵理论、逼近论.
主要论文
1. A.P.Liao, Z.Z.Bai and Yuan Lei Best Approximate Solution of Matrix Equation AXB+CYD=E, SIMA J. Matrix Anal. Appl., 27：3（2006), 675-688. (SCI, EI).
2. A.P.Liao and Yuan Lei Least-Squares Solutions of Matrix Inverse Problem for Bi-Symmetric Matrices with a Submatrix Constraint, Numer. Linear Algebra Appl., 14 (2007), 425-444. (SCI, EI).
. 3. A.P.Liao and Yuan Lei， The Matrix Nearness Problem for Symmetric Matrices Associated With the Matrix Equation[AXA,BXB]=[C,D]， Linear Algebra Appl., 418(2006）,939-954. (SCI, EI)
4. Yuan Lei and A. P. Liao, A minimal residual algorithm for the inconsistent matrix equation AXB=C over symmetric matrices, Appl. Math. Comput., 188(2007), 499-513
(SCI, EI)
5. A.P.Liao and Yuan Lei Least-Squares Solution with the Minimum-Norm for the Matrix Equation (AXB, GXH)=(C, D), Comp. Math. Appl.,50 (2005), 539-549. (SCI, EI)
6. A.P.Liao and Yuan Lei Optimal approximate solution of the matrix equation AXB=C over symmetric matrices, J. Comp. Math., 25:5(2007), 543-552. (SCI, EI)
7. Y. Lei and A. P. Liao, Minimization problem for symmetric orthogonal anti-symmetric matrices, J. Comput. Math., 25:2(2007), 211-220. (SCI, EI)
8. A.P.Liao, Y. Lei, X. Y. Hu, Least-squares solution with the minimum-norm for the matrix equation, Acta Mathematicae Applicatae Sinica, English Series, 23:2(2007) 1-12.
9. Yuan Lei and Anping Liao, Least-squares symmetric and skew anti-symmetric solutions of the inconsistent matrix equation AX=B. In: Advances in Matrix Theory and Applications. Chengdu：World Academic Union, 2006, 109-113.(ISTP)
10. Yanyan Zhang,Yuan Lei and Anping Liao, Least-squares solutions of the matrix equation ATXA=B over bisymmetric matrices and its optimal approximation, Numerical Mathematices – A Journal of Chinese University, 16:3(2007), 215-225.
11. S.F. Yuan, A.P.Liao, Y. Lei, Inverse Eigenvalue Problems of Tridiagonal Symmetric Matrices and Tridiagonal Bisymmetric Matrices, Comput. Math. Appl., to appear. (SCI, EI)
12. S.F. Yuan, A.P.Liao, Y. Lei, Least squares Hermitian solution of the matrix equation (AXB;CXD) = (E; F) with the least norm over the skew field of quaternions, Math. Comput.Modelling, to appear. (SCI, EI)
13. 袁仕芳,廖安平,雷渊,矩阵方程AXB+CYD=E的对称极小范数最小二乘解,计算数学,29:2(2007),203-216
14. 伍华凤,雷渊,廖安平,一类线性矩阵方程的最佳逼近解,工程数学学报,24:2(2007), 259-264. (EI)
15. 雷渊,廖安平, 线性流形上一类矩阵方程的最佳逼近问题,数值计算与计算机应用, 28:1(2007),1-10.
主要著作、教材
1. 矩阵论,湖南大学出版社,2005
主要科研项目
1.湖南省自然科学基金项目(03JJY6028).
雷渊老师相关教学资源
- 湖南大学教学资源
- 雷渊老师课程教学资源
