In this paper, we obtain lower and upper bounds for the entries of the inverses of diagonally dominant tridiagonal matrices. First of all we derive the bounds for off-diagonal elements of the inverse as a function of the diagonal ones, then we improve the two-sided bounds for the diagonal entries obtaining sharper lower and upper bounds for all the elements of the inverse.
Some Improvements for Two-Sided Bounds on the Inverse of Diagonally Dominant Tridiagonal Matrices / Peluso, Roberto; Politi, T.. - In: LINEAR ALGEBRA AND ITS APPLICATIONS. - ISSN 0024-3795. - STAMPA. - 330:1-3(2001), pp. 1-14. [10.1016/S0024-3795(01)00254-3]
Some Improvements for Two-Sided Bounds on the Inverse of Diagonally Dominant Tridiagonal Matrices
Peluso, Roberto;Politi, T.
2001
Abstract
In this paper, we obtain lower and upper bounds for the entries of the inverses of diagonally dominant tridiagonal matrices. First of all we derive the bounds for off-diagonal elements of the inverse as a function of the diagonal ones, then we improve the two-sided bounds for the diagonal entries obtaining sharper lower and upper bounds for all the elements of the inverse.File in questo prodotto:
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