04160083

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04160083 Bulavskij, Yu.V. The vector variant of the randomization method for the solution of systems of integral equations of the second kind. Numerical methods of statistical modeling, Collect. Sci. Works, Novosibirsk, 31-35 (1987). 1987 RU vector variant randomization method systems of integral equations of the second kind Monte Carlo method random matrix Zbl 0691.00011 Zbl 0594.65094 [For the entire collection see Zbl 0691.00011.] The numerical method for the solution of systems of linear algebraic equations $Au=f$ with square non-singular matrix proposed by the author [Dokl. Akad. Nauk SSSR 283, 797-800 (1985; Zbl 0594.65094)] is based on the introduction of such a random matrix $\Xi$ of the same order that the columns of $\Xi$ are statistically independent and $M\Xi =A.$ In the present work, a generalization of the considered scheme is proposed to the case where not all the columns but only groups of columns of the random matrix $\Xi$ are statistically independent. A generalization to the case of a system of integral equations of the second kind is obtained.