JIPAM

Newton's Inequalities for Families of Complex Numbers  
 
  Authors: Vladimir V. Monov,  
  Keywords: Elementary symmetric functions, Newton's inequalities, Nonnegative matrices.  
  Date Received: 02/06/05  
  Date Accepted: 20/06/05  
  Subject Codes:

26C10, 26D05.

  
  Editors: Constantin P. Niculescu,  
 
  Abstract:

We prove an extension of Newton's inequalities for self-adjoint families of complex numbers in the half plane $ func{Re}z>0.$ The connection of our results with some inequalities on eigenvalues of nonnegative matrices is also discussed.;


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