Explicit inverse matrices of Tribonacci skew circulant type matrices

被引:20
作者
Jiang, Xiaoyu [1 ]
Hong, Kicheon [1 ]
机构
[1] Univ Suwon, Dept Informat & Telecommun Engn, Hwaseong Si 445743, Gyeonggi Do, South Korea
关键词
Skew circulant matrix; Skew left circulant matrix; Determinant; Inverse; Tribonacci sequences; PRECONDITIONERS;
D O I
10.1016/j.amc.2015.05.103
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The determinants and inverses of Tribonacci skew circulant type matrices are discussed in the paper. Firstly, Tribonacci skew circulant type matrices are defined. In addition, we show the invertibility of the Tribonacci skew circulant matrix and present the determinant and the inverse matrix based on constructing the transformation matrices. By utilizing the relation between circulant and left circulant, the invertibility of the Tribonacci skew left circulant are also discussed. Finally, the determinants and the inverse matrices of these matrices are given, respectively. (C) 2015 Published by Elsevier Inc.
引用
收藏
页码:93 / 102
页数:10
相关论文
共 26 条
[1]  
[Anonymous], ABSTR APPL AN
[2]  
[Anonymous], 2013, EVID-BASED COMPL ALT
[3]  
Balof B, 2012, J INTEGER SEQ, V15
[4]   Norm equalities and inequalities for operator matrices [J].
Bani-Domi, Wathiq ;
Kittaneh, Fuad .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 429 (01) :57-67
[5]  
Bertaccini D, 2001, LECT NOTES COMPUT SC, V1988, P93
[6]   Determinants and inverses of circulant matrices with Jacobsthal and Jacobsthal-Lucas Numbers [J].
Bozkurt, Durmus ;
Tam, Tin-Yau .
APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (02) :544-551
[7]   AN EXPLICIT FORM OF THE INVERSE OF A PARTICULAR CIRCULANT MATRIX [J].
CAMBINI, A .
DISCRETE MATHEMATICS, 1984, 48 (2-3) :323-325
[8]   CIRCULANT AND SKEW-CIRCULANT PRECONDITIONERS FOR SKEW-HERMITIAN-TYPE TOEPLITZ-SYSTEMS [J].
CHAN, RH ;
JIN, XQ .
BIT, 1991, 31 (04) :632-646
[9]   TOEPLITZ PRECONDITIONERS FOR HERMITIAN TOEPLITZ-SYSTEMS [J].
CHAN, RH ;
NG, KP .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1993, 190 :181-208
[10]  
Davis PJ., 1970, CIRCULANT MATRICES