2. (5 points) Assume you have computed = cox + c₁x³ where x ≥ 1. Compute the relative error in evaluating this function
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- 2 5 Points Assume You Have Computed Cox C X Where X 1 Compute The Relative Error In Evaluating This Function 1 (43.7 KiB) Viewed 36 times
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2. (5 points) Assume you have computed = cox + c₁x³ where x ≥ 1. Compute the relative error in evaluating this function (i.e., evaluate the impact of finite precision on the result). Do not bound. Assume: • all error originates from representing co, c₁, and x. arithmetic operations introduce no error. Start with * = cx* + ci(x*)¹.
3. (5 points) Continue the previous problem. Derive an upper bound for the relative error of = cox + ₁x³ where x ≥ 1. Consider defining Emax = 1 = max(€0, €1], [€2], . . .‚ │€n]).