Spectral properties of diagonally dominant infinite matrices, part I
- 1 January 1989
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 111 (3-4) , 301-314
- https://doi.org/10.1017/s0308210500018576
Abstract
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.This publication has 5 references indexed in Scilit:
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