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The argument reduction scheme plays an important role in the evaluation of periodic functions. In this report we discuss the criteria for determining the domain of computer routines that evaluate periodic functions, and apply the results to the widely used sine and cosine functions.
As you know the iterative refinement of generalized matrix inverses is an unsolved problem 3, 5 so far because the usual iterative methods for inverting nonsingular matrices lose their valuable property to be self-correcting if applied to nonregular matrices. The following example of a...
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