Integration by Parts | Rule, Formula & Examples

Investigate the numerical stability of the following methods fo... | Filo

Numerical Method Analysis for Engineering Students

There is a more efficient algorithm (in terms of the number of multiplications and additions used) for evaluating polynomials than the conventional algorithm described in the previous exercise. It is called Horner's method. This pseudocode shows how to use this method to find the value of an x^n an-1 x^n-1 ⋯ a1 x a0 at x=cprocedure Horner (c, a0, a1, a2, …, an:. real numbers ) y:=anfor i:=1 to n y:=y * c an-ireturn y{y=an c^n an-1 c^n-1 ⋯ a1 c a0}a) Evaluate 3 x^2 x 1 at x=2 by working through e