neumaierSum

Using the Neumaier method, take a more accurate sum

Most of the time floating point arithmetic does
approximately the right thing. When adding sums or having products
of numbers that greatly differ in magnitude, the floating point
arithmetic may be incorrect. This package implements the Kahan
(1965) sum <doi:10.1145/363707.363723>, Neumaier (1974) sum
<doi:10.1002/zamm.19740540106>, pairwise-sum (adapted from 'NumPy',
See Castaldo (2008) <doi:10.1137/070679946> for a discussion of
accuracy), and arbitrary precision sum (adapted from the fsum in
'Python' ; Shewchuk (1997)
<https://people.eecs.berkeley.edu/~jrs/papers/robustr.pdf>). In addition,
products are changed to long double precision for accuracy, or
changed into a log-sum for accuracy.

Matthew Fidler

PreciseSums

Accurate Floating Point Sums and Products

Raymond Hettinger

Jonathan Shewchuk

Julian Taylor

Nathaniel Smith

NumPy Team 

Python Team 

neumaierSum function

<dl><dt>numbers</dt>
<dd>A vector of numbers to sum.</dd></dl>

Arguments

Using the Neumaier method, take a more accurate sum — neumaierSum

<dl>

<dt>numbers</dt>
<dd>A vector of numbers to sum.</dd>

</dl>

neumaierSum: Using the Neumaier method, take a more accurate sum

Description

Usage

Value

Arguments

References

Examples