Normalized floating-point arithmetic with an index of significance
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It has been frequently pointed out that the task of determining an error-bound for the results of a problem is usually a long difficult calculation, which is avoided as much as possible by the programmer. The introduction of floating-point arithmetic in modern computers and the ever-growing use of compilers makes the task of error analysis even more difficult and its computation even less probable. Clearly, a machine method is needed to automatically calculate a bound for the propagated and generated error, given the initial error in the input and the residual error due to approximating functions.
[1] John W. Carr,et al. Error analysis in floating point arithmetic , 1959, CACM.
[2] E. Lukács,et al. Tables of inverses of finite segments of the Hilbert matrix , 1953 .
[3] Robert L. Ashenhurst,et al. Unnormalized Floating Point Arithmetic , 1959, JACM.