Lax, Melvin D. Numerical solution of random nonlinear equations. (English) Zbl 0572.65038 Stochastic Anal. Appl. 3, 163-169 (1985). 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 Cited in 1 Document 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) Keywords:random equations; random secant method; convergence; random polynomials PDF BibTeX XML Cite \textit{M. D. Lax}, Stochastic Anal. Appl. 3, 163--169 (1985; Zbl 0572.65038) Full Text: DOI 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.