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Two-sided bounds on the inverses of diagonally dominant tridiagonal matrices

✍ Scribed by Reinhard Nabben

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 633 KB
Volume: 287
Category: Article
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(98)10146-5

No coin nor oath required. For personal study only.

✦ Synopsis

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 exact inverse after n-1 steps.

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