Numerical Analysis- Math-5501

 

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 \Delta^2 . 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 solving system of nonlinear equations: Fixed point, Newton,

finite difference Newton, quasi-Newton, steepest descent, Error and convergence analysis for these methods.