vpasum
Description
Examples
Input Arguments
Algorithms
Depending on whether the series is alternating or monotone, vpasum
tries a number of strategies to calculate its limit: Levin's u-transformation, the
Euler–Maclaurin formula, or van Wijngaarden's trick.
For example, the Euler–Maclaurin formula is
where B2m represents the 2mth Bernoulli number and Rp is an error term which depends on a, b, p, and f.
References
[1] Olver, F. W. J., A. B. Olde Daalhuis, D. W. Lozier, B. I. Schneider, R. F. Boisvert, C. W. Clark, B. R. Miller, B. V. Saunders, H. S. Cohl, and M. A. McClain, eds., Chapter 2.10 Sums and Sequences, NIST Digital Library of Mathematical Functions, Release 1.0.26 of 2020-03-15.
Version History
Introduced in R2020b
See Also
vpa
| vpaintegral
| symsum