4. (5 points) Assume you have computed = cox+c₁³. Compute the relative error in evaluating this function (i.e., evaluate
Posted: Mon Jun 06, 2022 5:40 pm
4. (5 points) Assume you have computed = cox+c₁³. Compute the relative error in evaluating this function (i.e., evaluate the impact of finite precision on the result). Do not bound. Assume: (a) error originates from representing co, C₁, and x. (b) arithmetic operations do introduce error. (c) x can be computed without error. Start with * = ((côx*)* + (c† (x*)¹)*)*.
5. (5 points) Continue the previous problem. Derive an upper bound for the relative error of = co+c₁x³. Consider defining Emax = max(€0], [€1|, |€2], . . . , [en]).