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Bounds for the inverses ofPM- andPH-matrices

โœ Scribed by L. Yu. Kolotilina


Publisher
Springer US
Year
2010
Tongue
English
Weight
322 KB
Volume
165
Category
Article
ISSN
1573-8795

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Two-sided bounds on the inverses of diag
โœ Reinhard Nabben ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 633 KB

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