NUMERICAL ANALYSIS-Math 550

Course Description:

Floating point arithmetic and rounding 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, Method for solvingsystem of nonlinear equations: Fixed point, Newton, finite difference Newton, quasi-Newton, steepest descent, Error and convergence analysis for these methods

Text Book: Numerical methods for nonlinear equations and optimization by Dennis