CS 357
Spring 2024
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Review Questions for Rounding
Given a real number, what is the rounding error involved in storing it as a machine number? What is the relative error?
How can we bound the relative error of representing a real number as a normalized machine number?
What is cancellation? Why is it a problem?
What types of operations lead to catostrophic cancellation?
Given two different equations for evaluating the same value, can you identify which is more accurate for certain x and why?