Bounds on the inverses of nonnegative triangular matrices with monotonicity properties

Vecchio, Antonia ; Mallik, Ranjan K. (2007) Bounds on the inverses of nonnegative triangular matrices with monotonicity properties Linear and Multilinear Algebra, 55 (4). pp. 365-379. ISSN 0308-1087

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Official URL: http://www.tandfonline.com/doi/abs/10.1080/0308108...

Related URL: http://dx.doi.org/10.1080/03081080601135237

Abstract

Some bounds on the entries and on the norm of the inverse of triangular matrices with nonnegative and monotone entries are found. All the results are obtained by exploiting the properties of the fundamental matrix of the recurrence relation which generates the sequence of the entries of the inverse matrix. One of the results generalizes a theorem contained in a recent article of one of the authors about Toeplitz matrices.

Item Type:Article
Source:Copyright of this article belongs to Taylor and Francis Group.
Keywords:Inverse Matrix; Recurrence Formula; Triangular Matrix
ID Code:79242
Deposited On:24 Jan 2012 15:12
Last Modified:24 Jan 2012 15:12

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