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Spectral properties of diagonally dominant infinite matrices, part I
Published online by Cambridge University Press: 14 November 2011
Synopsis
Theorems of Gersgorin-type are established for a diagonally dominant, unbounded, infinite matrix operator A acting on lp for some l ≦p≦∞. The results are established using an approximating sequence of infinite matrices An that converges to A in the generalised sense as n → ∞. This constructive approach admits approximation of the spectral properties of A by those of An.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 111 , Issue 3-4 , 1989 , pp. 301 - 314
- Copyright
- Copyright © Royal Society of Edinburgh 1989
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