Q1: What is the upper boundary of the absolute roundoff error in the DP floating-point representation of a real number x? Q2: If two close numbers are subtracted by a computer with inexact arithmetic, what phenomenon can happen?
Added by Hugo G.
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For double-precision floating-point numbers, the machine epsilon is typically around $2^{-53}$. The absolute roundoff error is the difference between the exact real number and its floating-point representation. In the worst case, the error can be half of the Show more…
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