IJPAM: Volume 5, No. 3 (2003)

INVERSE PRINCIPALLY CENTROGONAL MATRICES

LeRoy B. Beasley$^1$, Sang-Gu Lee$^2$, Han-Guk Seol$^3$
$^1$Department of Mathematics and Statistics
Utah State University
Logan, UT 84322-3900, USA
e-mail: lbeasley@math.usu.edu
$^{2,3}$Department of Mathematics
College of Science
Sung Kyun Kwan University
Suwon 440-740, SOUTH KOREA
$^2$e-mail: sglee@math.skku.ac.kr
$^3$e-mail: shk@math.skku.ac.kr


Abstract.A real nonsingular $n \times n$ matrix $A=(a_{ij})$ is called centrogonal if $A^{-1} =(a_{n+1-i,n+1-j})$, it is called principally centrogonal if all leading principal submatrices of $A$ are centrogonal, and it is called inverse principally centrogonal if $A^{-1}$ is principally centrogonal. We give a necessary and sufficient condition for a principally centrogonal matrix to be an inverse principally centrogonal matrix.

Received: February 5, 2003

AMS Subject Classification: 15A03, 15A04, 15A33

Key Words and Phrases: principally centrogonal matrix, matrix rotation, centrosymmetric

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2003
Volume: 5
Issue: 3