On the computation of inverses and determinants of a kind of special matrices

被引：14
|
作者：
Zhao, Di [1 ]
Li, Hongyi [1 ]
机构：
[1] Beihang Univ, Sch Math & Syst Sci, LMIB, Beijing 100191, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 250卷
基金：
中国国家自然科学基金;
关键词：
Centrosymmetric matrix; Inverse; Determinant; Hessenberg matrix;
D O I：
10.1016/j.amc.2014.09.114
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the inverse and determinant of a special kind of centrosymmetric matrices are investigated. Based on the partition property of a matrix with centrosymmetric structure and algorithms for the inverse and determinant proposed in Chen and Yu (2011), a computation algorithm for the inverse and determinant of a centrosymmetric matrix is finally developed. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：721 / 726
页数：6
相关论文
共 50 条
  • [1] Determinants and Inverses of Ppoeplitz and Ppankel matrices
    Zuo, Baishuai
    Jiang, Zhaolin
    Fu, Deqian
    SPECIAL MATRICES, 2018, 6 (01): : 201 - 215
  • [2] ANALYTIC INVERSES AND DETERMINANTS FOR A CLASS OF MATRICES
    VALVI, FN
    GEROYANNIS, VS
    IMA JOURNAL OF NUMERICAL ANALYSIS, 1987, 7 (01) : 123 - 128
  • [3] MORE TEST MATRICES FOR DETERMINANTS AND INVERSES
    ENGLAR, TS
    COMMUNICATIONS OF THE ACM, 1963, 6 (12) : 745 - 745
  • [4] On computing the determinants and inverses of some special type of tridiagonal and constant-diagonals matrices
    Witula, Roman
    Slota, Damian
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 189 (01) : 514 - 527
  • [5] Inverses and determinants of three classes of Hankel matrices
    Chu, Wenchang
    Kilic, Emrah
    BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2024, 31 (02) : 268 - 277
  • [6] Inverses and Determinants of Toeplitz-Hessenberg Matrices
    Slowik, Roksana
    TAIWANESE JOURNAL OF MATHEMATICS, 2018, 22 (04): : 901 - 908
  • [7] DETERMINANTS AND INVERSES OF GENERALIZED LOWER HESSENBERG MATRICES
    Kome, Cahit
    JOURNAL OF SCIENCE AND ARTS, 2024, (02): : 285 - 294
  • [8] Inverses and Determinants of n x n Block Matrices
    Saadetoglu, Muege
    Dinsev, Sakir Mehmet
    MATHEMATICS, 2023, 11 (17)
  • [9] Special determinants and their computation
    Liang, J.
    Advances in Modelling and Analysis A, 2011, 48 (1-2): : 27 - 41
  • [10] Determinants and inverses of circulant matrices with complex Fibonacci numbers
    Altinisik, Ercan
    Yalcin, N. Feyza
    Buyukkose, Serife
    SPECIAL MATRICES, 2015, 3 (01): : 82 - 90
12345