System of Nonlinear Equation and Matlab

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Focusing on numerical methods for solving systems of nonlinear equations, this book builds upon Otolorin's approach to accommodate singular Jacobians near the roots. It demonstrates a modification that achieves quadratic convergence and introduces a new cubically convergent predictor-corrector method that does not require second-order derivatives. The algorithms presented are straightforward to implement, supported by numerous numerical examples showcasing their efficiency. This work serves as an extension and generalization of existing methods, offering various convergence techniques.