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  Volume 9, Issue 2, Article 31
 
A Note on Estimates of Diagonal Elements of the Inverse of Diagonally Dominant Tridiagonal Matrices
    Authors: Tiziano Politi, Marina Popolizio,  
    Keywords: Tridiagonal matrices, Bounds of entries of the inverse.  
    Date Received: 06/05/07  
    Date Accepted: 15/03/08  
    Subject Codes:

65F50, 15A39.

  
    Editors: Sever S. Dragomir,  
 
    Abstract:

In this note we show how to improve some recent upper and lower bounds for the elements of the inverse of diagonally dominant tridiagonal matrices. In particular, a technique described by [R. Peluso, and T. Politi, Some improvements on two-sided bounds on the inverse of diagonally dominant tridiagonal matrices, Lin. Alg. Appl. Vol. 330 (2001) 1-14], is used to obtain better bounds for the diagonal elements.

         
       
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