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.
2001-01-01
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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