Abstract
The authors consider solution methods for overdetermined SLAE whose main matrix is known exactly and the right-hand side contains an error. The component-wise error is assumed to be a random variable that belongs to a small bounded interval. Given exact values of the right-hand side, the system has a unique solution. The approach being developed in the paper is based on guarantee estimation of membership intervals of the exact solution, which may be used for quality assessment of the approximate solutions. These guarantee estimates are applied for comparison and quality assessment of the solution methods. The results of the numerical simulation allow making a comparative analysis of the methods and formulating the recommendations on their practical application.
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