Data of mean and standard deviation of iteration (k) for discrete uniform distribution

Data of mean and standard deviation of iteration (k) for discrete uniform distribution

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The bisection method is an iterative approach used in numerical analysis to find solutions to nonlinear equations. The main purpose of this paper is to study how the parameters of a probability distribution characterizing the coefficients of a cubic polynomial can influence the convergence of the bisection method. The study covers discrete and cont...

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... the above instructions in the MATLAB code stated in APPENDIX A, the mean and standard deviation of iteration (k) for a certain range [-r, r] of parameters over 100 trials were obtained, as shown in Table 1. From fig. 1, it is clear that resultant second degree polynomial equation can be used to predict the average iteration for a given parameter. ...

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