Unless specified otherwise, everything in this chapter assumes no underflow. We often will have many factors of \((1+\epsilon_{i})\),...
Converting From ULP Errors to Relative Errors Let \(x\) be in the normal range, and \(|x-X|=\alpha\ulp(x)\). Then: \begin{equation*}...
Ranges The normal range is the set of real numbers: \(\beta^{e_{\textit{min}}}\le|x|\le\Omega\) and the subnormal range are where...