An a priori estimate for the truncation error of a continued fraction expansion to the Gaussian error function
Copyright policy )An a priori estimate for the truncation error of a continued fraction expansion to the Gaussian error function
The truncation error for a continued fraction to the Gaussian error function is estimated. The precision of the obtained bounds is verified by comparison with the exact values. The related precision as well as the number of needed iterations are discussed in several ways.
Computation of special functions and constants, construction of tables, Roundoff error, Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals), Gaussian error function, truncation error, Continued fractions; complex-analytic aspects, continued fraction
Computation of special functions and constants, construction of tables, Roundoff error, Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals), Gaussian error function, truncation error, Continued fractions; complex-analytic aspects, continued fraction
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