numerical noise with exponential matrix (expm())

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xinyu 2014-6-8

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https://ww2.mathworks.cn/matlabcentral/answers/133252-numerical-noise-with-exponential-matrix-expm

编辑： John D'Errico 2014-6-8

Some one told me that that numerical noise normally exists with the expm() function. The noise value is normally with a magnitude of 10^-19. Is that the truth? If it is, how can I eliminate the noise, as in my calculation the result need to be calculated with some numbers with similar magnitude.

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John D'Errico 2014-6-8

编辑：John D'Errico 2014-6-8

Sorry, but it is time to take a basic numerical analysis class. Or read Cleve's 19 dubious ways .

You CANNOT eliminate that noise working in floating point arithmetic. Trying to do the impossible is something only asked of a grad student, but rarely achieved.

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