Refinement of Multiparameters Overrelaxation (RMPOR) Method | Zendy

Gashaye Dessalew | Zendy; Tesfaye Kebede | Zendy; Gurju Awgichew | Zendy; Assaye Walelign | Zendy

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Refinement of Multiparameters Overrelaxation (RMPOR) Method

Author(s) -

Gashaye Dessalew,

Tesfaye Kebede,

Gurju Awgichew,

Assaye Walelign

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/2804698

Subject(s) - mathematics , spectral radius , convergence (economics) , positive definite matrix , matrix (chemical analysis) , linear system , diagonally dominant matrix , mathematical analysis , eigenvalues and eigenvectors , pure mathematics , physics , materials science , quantum mechanics , invertible matrix , economics , composite material , economic growth

In this paper, we present refinement of multiparameters overrelaxation (RMPOR) method which is used to solve the linear system of equations. We investigate its convergence properties for different matrices such as strictly diagonally dominant matrix, symmetric positive definite matrix, and M-matrix. The proposed method minimizes the number of iterations as compared with the multiparameter overrelaxation method. Its spectral radius is also minimum. To show the efficiency of the proposed method, we prove some theorems and take some numerical examples.

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