JIPAM

Lower Bounds for the Spectral Norm  
 
  Authors: Jorma K. Merikoski, Ravinder Kumar,  
  Keywords: Spectral norm, Singular values.  
  Date Received: 20/12/04  
  Date Accepted: 01/09/05  
  Subject Codes:

15A60, 15A18.

  
  Editors: Simo Puntanen,  
 
  Abstract:

Let $ mathbf{A}$ be a complex $ mtimes n$ matrix. We find simple and good lower bounds for its spectral norm $ Vert mathbf{A} Vert = max{ Vert mathbf{A}mathbf{x} Vert mid mathbf{x}inmathbb{C}^n, Vert mathbf{x} Vert=1 }$ by choosing $ mathbf{x}$ smartly. Here $ VertcdotVert$ applied to a vector denotes the Euclidean norm. ;


This article was printed from JIPAM
http://jipam.vu.edu.au

The URL for this article is:
http://jipam.vu.edu.au/article.php?sid=598