THE HADAMARD PRODUCT OF 2 BROWNIAN MATRICES - ANALYTIC INVERSE AND DETERMINANT

被引：2
|
作者：
VALVI, FN
机构：
来源：
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS | 1995年 / 36卷
关键词：
D O I：
10.1017/S0334270000007505
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The explicit inverse and determinant of a class of matrices is given. The class is the Hadamard product of two already known classes. Its elements are defined by 3n - 1 parameters, analytical expressions of which compose the Hessenberg form inverse. These expressions enable a recursive formula to be obtained, which gives the inverse in O(n(2)) multiplications/divisions and O(n) additions/subtractions.
引用
收藏
页码：493 / 497
页数：5
相关论文
共 50 条
  • [41] Some determinantal inequalities for Hadamard product of matrices
    Chen, SC
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 368 : 99 - 106
  • [42] New bound on eigenvalue of the Hadamard product of matrices
    Li, Hua
    Li, Jian-Lei
    Mu, Jing-Jing
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2015, 18 (01) : 54 - 60
  • [43] Specific eigenbounds for Hadamard product of Hermitian matrices
    Kosuru, G. Sankara Raju
    JOURNAL OF ANALYSIS, 2020, 28 (01): : 3 - 8
  • [44] Specific eigenbounds for Hadamard product of Hermitian matrices
    G. Sankara Raju Kosuru
    The Journal of Analysis, 2020, 28 : 3 - 8
  • [45] New inequalities on eigenvalues of the Hadamard product and the Fan product of matrices
    Guo, Qian-Ping
    Li, Hou-Biao
    Song, Ming-Yan
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [46] Some Bounds on Eigenvalues of the Hadamard Product and the Fan Product of Matrices
    Guo, Qianping
    Leng, Jinsong
    Li, Houbiao
    Cattani, Carlo
    MATHEMATICS, 2019, 7 (02)
  • [47] NEW BOUNDS FOR EIGENVALUES OF THE HADAMARD PRODUCT AND THE FAN PRODUCT OF MATRICES
    Cheng, Guang-Hui
    TAIWANESE JOURNAL OF MATHEMATICS, 2014, 18 (01): : 305 - 312
  • [48] A New bound on eigenvalue of the Hadamard product of matrices
    Chen, Fu-bin
    Hao, Bing
    Ren, Xian-hua
    PROCEEDINGS OF THE SEVENTH INTERNATIONAL CONFERENCE OF MATRICES AND OPERATORS (MAO 2012), 2012, : 8 - 11
  • [49] New inequalities on eigenvalues of the Hadamard product and the Fan product of matrices
    Qian-Ping Guo
    Hou-Biao Li
    Ming-Yan Song
    Journal of Inequalities and Applications, 2013
  • [50] Some similar inequalities for product and Hadamard product of Hermitian matrices
    Yang, Zhongpeng
    Zhou, Gaolan
    Chinese Journal of Engineering Mathematics, 1997, 14 (01):
12345