雷淵(湖南大學數學學院副教授)

雷淵，博士，湖南大學數學學院副教授。

基本介紹

• 中文名：雷淵
• 畢業院校：湖南大學
• 學位/學歷：博士
• 職業：教師
• 專業方向：數學
• 任職院校：湖南大學

人物經歷

學習經歷

2002.9-2007.6 博士研究生 湖南大學

1996.9-2000.7 本科生 湖南大學

工作經歷

2007.7-至今 湖南大學

2015.7-2016.7 美國University of Texas at Arlington數學系（訪問學者）

學術成果

[1] Y.Lei, A.P.Liao, W.L.Qiao, Iterative methods for solving consistent or inconsistent matrix inequality AXB＞= C with linear constraints, Applied Mathematical Modelling, 39(2015), 4151-4163

[2] Y.Lei, The inexact fixed matrix iteration for solving large linear inequalities in a least squares sense, Numerical Algorithms, 69(2015):227-251.

[3] H.W.Pan, Y.Lei, Iterative method for the least squares problem of a matrix equation with tridiagonal matrix constraint, Electronic Journal of Linear Algebra, 23 (2012), 1001-1022.

[4] L. Fang, A.P.Liao, Y.Lei, A minimal residual algorithm for the inconsistent matrix equation AXB+CYD=E over symmetric matrices, Numer. Math. J. Chinese Univ. 32 (2010), 71–81.

[5] S.F.Yuan, A.P.Liao, Y.Lei, Inverse eigenvalue problems of tridiagonal symmetric matrices and tridiagonal bisymmetric matrices, Comput. Math. Appl.,55 (2008), 2521-2532.

[6] A.P.Liao, Y.Lei, Least-Squares Solutions of matrix inverse problem for bi-Symmetric matrices with a submatrix constraint, Numer. Linear Algebra Appl., 14 (2007), 425-444.

[7] Y.Lei, A.P.Liao, A minimal residual algorithm for the inconsistent matrix equation AXB=C over symmetric matrices, Appl. Math. Comput., 188 (2007), 499-513.

[8] Y.Lei, A.P.Liao, Minimization problem for symmetric orthogonal anti-symmetric matrices, J. Comput. Math., 25:2 (2007), 211-220.

[9] Y.Lei, A.P.Liao, The best approximation problem for a matrix equation on the linear manifold, J. Numer. Methods Comput. Appl., 28 (2007), 1–10.

[10] A.P.Liao, Y.Lei, The matrix nearness problem for symmetric matrices associated with the matrix equation [AXA^T,BXB^T]=[C,D], Linear Algebra Appl., 418 (2006), 939-954.

[11] A.P.Liao, Z.Z.Bai, {\bf Y.Lei}, Best approximate solution of matrix equation AXB+CYD=E, SIMA J. Matrix Anal. Appl., 27:3 (2006), 675-688.

[12] A.P.Liao, Y.Lei, Least-squares solution with the minimum-norm for the matrix equation (AXB, GXH)=(C, D), Comput. Math. Appl., 50 (2005), 539–549.

科研項目

2013-2015 國家自然科學基金青年項目

講授課程

《高等代數》、《矩陣論》、《矩陣計算》