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- Title
Of a couple of relaxation iterative methods suited for matrices of bounded linear operators defined over banach spaces.
- Authors
Lemita, Samir; Mahcene, Mohammed Ghaïth
- Abstract
By introducing matrices of linear bounded infinite-dimensional operators defined over some Banach spaces, and within the context of study, we make use of the definition of row strict diagonal dominance property to construct a generalization version of the Jacobi Under-Relaxation and the Successive Under-Relaxation iterative methods. The convergence analyses of the two new iterative methods are provided, and a numerical application to solve one Fredholm integral equation is presented to show the generalized methods' effectiveness compared with their conventional opponents.
- Subjects
BANACH spaces; FREDHOLM equations; INTEGRAL equations; LINEAR operators; MATRICES (Mathematics)
- Publication
Asian-European Journal of Mathematics, 2023, Vol 16, Issue 11, p1
- ISSN
1793-5571
- Publication type
Article
- DOI
10.1142/S1793557123502030