JIPAM

On Inverses of Triangular Matrices with Monotone Entries  
 
  Authors: Kenneth S. Berenhaut, Preston T. Fletcher,  
  Keywords: Explicit bounds, Triangular matrix, Matrix inverse, Monotone entries, Off-diagonal decay, Recurrence relations.  
  Date Received: 26/08/04  
  Date Accepted: 24/05/05  
  Subject Codes:

15A09, 39A10, 26A48.

 
  Editors: Chi-Kwong Li,  
 
  Abstract:

This note employs recurrence techniques to obtain entry-wise optimal inequalities for inverses of triangular matrices whose entries satisfy some monotonicity constraints. The derived bounds are easily computable.;



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