@article{Shi2022, 
author = {Baijuan Shi},
title = {A particular matrix with exponential form, its inversion and some norms},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {5},
pages = {8224-8234},
keywords = {particular matrix, exponential form, determinant, inversion, principal minor, norms},
url = {https://www.sciopen.com/article/10.3934/math.2022458},
doi = {10.3934/math.2022458},
abstract = {In this paper, we study a particular    n  ×  n matrix    A  =  [      a                  k                  i          j                          ]          i      ,      j      =      1        n   and its Hadamard inverse        A          ∘      (      −      1      )      , whose entire elements are exponential form        a    k    =  e  (      k    n    )  =      e                            2          π          i          k                n              , where        k          i      j        =  min  (  i  ,  j  )  +  1. We study determinants, leading principal minor and inversions of    A  ,        A          ∘      (      −      1      )      . Then the defined values of Euclidean norms,        l    p   norms and spectral norms of these matrices are presented, rather than upper and lower bounds, which are different from other articles.}
}