Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
Linear Algebra and its Applications 405 (2005) 6066 www.elsevier.com/locate/laa
 

Summary: Linear Algebra and its Applications 405 (2005) 6066
www.elsevier.com/locate/laa
Eigenvalues of Hadamard powers of large
symmetric Pascal matrices
Ashkan Ashrafi a, Peter M. Gibson b,
aDepartment of Electrical and Computer Engineering, University of Alabama in Huntsville,
Huntsville, AL 35899, United States
bDepartment of Mathematical Sciences, University of Alabama in Huntsville, 204 Madison Hall,
Huntsville, AL 35899, United States
Received 22 June 2004; accepted 10 February 2005
Available online 5 May 2005
Submitted by B.L. Shader
Abstract
Let Sn be the positive real symmetric matrix of order n with (i, j) entry equal to
i + j - 2
j - 1
, and let x be a positive real number. Eigenvalues of the Hadamard (or entry
wise) power S
(x)
n are considered. In particular for k a positive integer, it is shown that both the

  

Source: Ashrafi, Ashkan - Department of Electrical and Computer Engineering, San Diego State University

 

Collections: Engineering; Computer Technologies and Information Sciences