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Proximity in group inverses of M-matrices and inverses of diagonally dominant M-matrices

โœ Scribed by Minerva Catral; Michael Neumann; Jianhong Xu

Book ID
108198789
Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
291 KB
Volume
409
Category
Article
ISSN
0024-3795

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We establish upper and lower bounds for the entries of the inverses of diagonally dominant tridiagonal matrices. These bounds improve the bounds recently given by Shivakumar and Ji. Moreover, we show how to improve our bounds iteratively. For an n x n M-matrix this iterative refinement yields the ex

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In two recent works the condition of the diagonal entries of the group inverse of a singular and irreducible M-matrix being uniform (constant) has arisen: in resistive electrical circuits and in the eect upon the Perron root of certain diagonal perturbation of a nonnegative matrix. In this paper we