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MATLABician
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A Blend of MATLAB, Mathematics, and sundry other things.
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MATLABician
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2026-02-26 08:14:31
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MATLABician | A Blend of MATLAB, Mathematics, and sundry other things. MATLABician A Blend of MATLAB, Mathematics, and sundry other things. Skip to content Home LaTeX Niceties ← Older posts Complex Magic, Part 3: Function Evaluation via Integration Posted on January 18, 2010 by MATLABician Accurate evaluation of the function is a classic problem in numerical analysis. This function can be seen as an approximation to the first derivative of at , . More generally, is the divided difference of at and and this fact combined with our discussion of catastrophic cancellation due to roundoff in divided differences in a previous post ( Complex Magic, Part 1 ) should trigger an alarm. The “usual” accurate method to evaluate is to instead evaluate , unless , in which case the result is set to 1, given that, say for continuity, is defined to be 1. This is the method employed in MATLAB’s expm1 whose implementation is based on an algorithm due to W...
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