Question
For IEEE double precision floating point arithmetic, a unit roundoff is approximately 2.2*10^-6. Suppose that for small x, the relative error in the computed value
For IEEE double precision floating point arithmetic, a unit roundoff is approximately 2.2*10^-6.
Suppose that for small x, the relative error in the computed value of sin x is approximately unit roundoff. then what is the relative error in x-sinx? For what value of x do we expect the relative error in x-sinx to reach 100%? [Note: x-sinx is approximately equal to x^3/6 for small x]
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Database Processing Fundamentals, Design, and Implementation
Authors: David M. Kroenke, David J. Auer
14th edition
133876705, 9781292107639, 1292107634, 978-0133876703
