一类特殊的分块循环矩阵的准对角化问题(英文)
Diagonalization of a Special Kind of Block Circulant Matrices
摘要
本文主要探讨了一类特殊的分块循环矩阵的准对角化问题,给出了它的相似类.
In this paper, we mainly discuss the diagonalization of a special kind of block circulant matrices.
出处
《洛阳师范学院学报》
2006年第2期5-7,共3页
Journal of Luoyang Normal University
二级参考文献11
-
1Davis, P. J. ,Circulant Matrices, New York:John Wiley & Sons, 1979.
-
2Mao Gangyuan,Circulant Matrices and Their Applications on Molecular Vibration,Wuhan:Huazhong University of Technology Press, 1995.
-
3Cao Zhihao, A note on symmetric block circulant matrix, J. Math. Res. Exposition, 1990,10 (3) : 469-473.
-
4Harary,F. , Schwenk, A. J. , Which graphs have integral spectra? Graphs and Combinatorics, Lecture Notes in Mathematics 406, Berlin : Springer-Verlag, 1974,45-51.
-
5Biggs, N. , Algebra Graph Theory, Cambridge : Cambridge University Press, 19 93
-
6Schwenk, A. J. , Wilson, R. J. , On the eigenvalues of a graph, In:L. W. Beineke and R. J. Wilson Eds. , Selected Topics in Graph Theory Algebra Graph Theory, London : Acadenmic Press, 1978,307-336.
-
7Harary, F. ,Graph Theory, Massachusetts : Addsion-Wesley Publishing Company, 1969.
-
8Mohar,B. ,The Laplacian spectrum of graphs,Graph Theory,In : Y. Alavi et al. eds. , Combinatorics and Applications ,New York :John Wiley, 1991,871-898.
-
9Grone, R. , Merris, R. , The Laplacian spectrum of a graph Ⅱ, SIAM J. Discrete Math. , 1994,7 (2)221-229.
-
10Merris ,R. ,Degree maximal graphs are Laplacian integral ,Linear Algebra Appl. , 1994,199:381-389.
-
1张光辉.关于K-分块循环矩阵及其对角化问题的讨论[J].大学数学,2007,23(2):135-137. 被引量:3
-
2张光辉,叶晓丽.关于r-分块循环矩阵及其对角化问题的探讨[J].数学理论与应用,2007,27(1):115-117.
-
3刘裕君.基于DISPLACEMENT对一类分块矩阵及其逆的表示[J].贵州师范大学学报(自然科学版),2014,32(4):48-51.
-
4张晓卫,史艳维,鱼翔.k-分块循环矩阵的一些性质[J].知识文库,2016,0(23):172-172.
-
5何超林,于媛,朱桂静.一类上三角矩阵的计算研究[J].汕头大学学报(自然科学版),2016,31(4):24-29. 被引量:1
-
6郑强.关于r-分块循环矩阵的推广[J].山东师范大学学报(自然科学版),1998,13(4):376-379. 被引量:3
-
7岳晓鹏,梁聪刚.分块循环矩阵的求逆方法探讨[J].长江大学学报(自科版)(上旬),2008,5(1):124-126. 被引量:1
-
8郑强.关于K(r_1,r_2)—分块循环矩阵的特征值[J].齐鲁师范学院学报,1998,24(6):77-80.
-
9吴世玕,杜红霞.循环矩阵及分块循环矩阵的广义逆[J].南方冶金学院学报,2005,26(1):64-67. 被引量:1
-
10郑强.关于初等r-分块循环矩阵的推广[J].曲阜师范大学学报(自然科学版),1998,24(4):43-47.