Inverses and determinants of three classes of Hankel matrices

被引：0
|
作者：
Chu, Wenchang [1 ]
Kilic, Emrah [2 ,3 ]
机构：
[1] Via Dalmazio Birago 9-E, I-73100 Lecce, Italy
[2] TOBB Univ Econ & Technol, Math Dept, TR-06560 Ankara, Turkiye
[3] Western Caspian Univ, Dept Tech Sci, Baku, Azerbaijan
来源：
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2024年 / 31卷 / 02期
关键词：
Determinant; Cauchy's double alternant; Hankel Matrix; inverse of matrix; matrix decomposition;
D O I：
10.36045/j.bbms.240417
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By means of matrix decompositions, we examine three classes of Hankel matrices, whose entries are reciprocal factorials, factorial quotients and binomial coefficients. Their determinants are evaluated in closed form and inverses are explicitly determined.
引用
收藏
页码：268 / 277
页数：10
相关论文
共 50 条
  • [1] Analytic determinants and inverses of Toeplitz and Hankel tridiagonal matrices with perturbed columns
    Fu, Yaru
    Jiang, Xiaoyu
    Jiang, Zhaolin
    Jhang, Seongtae
    SPECIAL MATRICES, 2020, 8 (01): : 131 - 143
  • [2] Determinants of Hankel matrices
    Basor, EL
    Chen, Y
    Widom, H
    JOURNAL OF FUNCTIONAL ANALYSIS, 2001, 179 (01) : 214 - 234
  • [3] GENERALIZED INVERSES OF HANKEL AND TOEPLITZ MOSAIC MATRICES
    HEINIG, G
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1995, 216 : 43 - 59
  • [4] THE INVERSES OF BLOCK HANKEL AND BLOCK TOEPLITZ MATRICES
    LABAHN, G
    CHOI, DK
    CABAY, S
    SIAM JOURNAL ON COMPUTING, 1990, 19 (01) : 98 - 123
  • [5] ON THE INVERSES OF TOEPLITZ-PLUS-HANKEL MATRICES
    HEINIG, G
    ROST, K
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1988, 106 : 39 - 52
  • [6] On the parametrization of classes of normal Hankel matrices
    V. N. Chugunov
    Computational Mathematics and Mathematical Physics, 2011, 51 : 1823 - 1836
  • [7] On the parametrization of classes of normal Hankel matrices
    Chugunov, V. N.
    COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2011, 51 (11) : 1823 - 1836
  • [8] Determinants and Inverses of Ppoeplitz and Ppankel matrices
    Zuo, Baishuai
    Jiang, Zhaolin
    Fu, Deqian
    SPECIAL MATRICES, 2018, 6 (01): : 201 - 215
  • [9] ANALYTIC INVERSES AND DETERMINANTS FOR A CLASS OF MATRICES
    VALVI, FN
    GEROYANNIS, VS
    IMA JOURNAL OF NUMERICAL ANALYSIS, 1987, 7 (01) : 123 - 128
  • [10] MORE TEST MATRICES FOR DETERMINANTS AND INVERSES
    ENGLAR, TS
    COMMUNICATIONS OF THE ACM, 1963, 6 (12) : 745 - 745
12345