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Numerical solution of random nonlinear equations. (English) Zbl 0572.65038
This paper deals with the numerical solution of random nonlinear algebraic and transcendental equations in one unknown. A random secant method is presented and its convergence is discussed. Its practical implementation to approximate the mean and the variance of real solutions of random nonlinear equations is discussed. This article is one of the kind which highlights the usefulness of the theory of random polynomials.
Reviewer: M.Sambandham

MSC:
65H10 Numerical computation of solutions to systems of equations
65C99 Probabilistic methods, stochastic differential equations
60H25 Random operators and equations (aspects of stochastic analysis)
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References:
[1] Bharucha-Reid A.T., Probablistic Methods in Applied Mathematics 2 (1970) · Zbl 0227.60005
[2] Bharucha-Reid A.T., Nonlinear Analysis 4 pp 231– (1980) · Zbl 0435.60064 · doi:10.1016/0362-546X(80)90051-6
[3] Atkinson K., Introduction to Numerical Analysis (1978) · Zbl 0402.65001
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