Probabilistic-algebraic algorithms of Monte Carlo methods.

Autor: Medvedev, I. N., Mikhailov, G. A.
Předmět:
Zdroj: Russian Journal of Numerical Analysis & Mathematical Modelling; 2011, Vol. 26 Issue 3, p323-336, 14p
Abstrakt: The theory of scalar and vector probabilistic--algebraic algorithms of the Monte Carlo method used in the solution of systems of integral equations is detailed and refined in the paper. A dual representation of the mean square of a vector estimate is constructed. Scalar algorithms are formulated, and a comparison of vector and scalar estimates of the solution is given for the first time. A criterion of finiteness of vector estimate variance is constructed on this basis. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index