Author： Berenhaut Kenneth Guy Richard Vish Nathaniel
Publisher： Taylor & Francis Ltd
ISSN： 0308-1087
Source： Linear and Multilinear Algebra, Vol.59, Iss.4, 2011-04, pp. : 475-481
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Abstract
This article provides a new bound for 1-norms of inverses of positive triangular matrices with monotonic column entries. The main theorem refines a recent inequality established in Vecchio and Mallik [Bounds on the inverses of non-negative lower triangular Toeplitz matrices with monotonicity properties, Linear Multilinear Alg., 55 (2007), pp. 365-379]. The results are shown to be in a sense best possible under the given constraints.
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