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
A note on estimates of diagonal elements of the inverse of diagonally dominant tridiagonal matrices / Politi, Tiziano; Popolizio, Marina. - In: JOURNAL OF INEQUALITIES IN PURE AND APPLIED MATHEMATICS. - ISSN 1443-5756. - ELETTRONICO. - 9:2(2008).
A note on estimates of diagonal elements of the inverse of diagonally dominant tridiagonal matrices
Politi, Tiziano;Popolizio, Marina
2008-01-01
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 elementsI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
