مادة دراسية
5501 التحليل العددي
Floating point arithmetic and round errors, well-posed computation and convergence.- Numerical methods for solving nonlinear equations with one variable: bisection, regula-falsi, functional iterative, Newton, secant and- Aitken ∆. Error and convergence analysis for these methods- Special numerical methods for solving polynomials: evaluation of polynomials and their derivatives.- Matrix and vector norms, convergence of vectors. - Methods for solving system of nonlinear equations: Fixed point, Newton, finite difference Newton, quasi-Newton, steepest descent.- Error and convergence analysis for these methods.-