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Pairwise summation

In numerical analysis, pairwise summation, also called cascade summation, is a summation algorithm, i.e. a technique to sum a sequence of finite-precision floating-point numbers that substantially reduces the accumulated round-off error compared to naively accumulating the sum in sequence. Although there are other techniques such as Kahan summation that…

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The algorithm

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Software implementations

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Pairwise summation

Nodes36
Edges35
Triples11
Avg. degree1.94
Density0.055556
Components1

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Pairwise summation

Top relations

related to Software implementations · 5
Pairwise summation → HPCsharp, Julia, NumPy, Other, Pairwise
related to The algorithm · 4
Pairwise summation → For, In, Nε, The

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Important terminology

summation pairwise error number algorithm condition errors displaystyle naive sum roundoff precision case log technique sequence one numbers arithmetic base

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SubjectPredicateObjectConfidenceSrc
Kahan summation that typically have even smaller round-off errorsinstance ofAlthough there are other techniques0.80text
pairwise summation is nearly as goodinstance ofAlthough there are other techniques0.80text
Pairwise summationrelated to Software implementationsPairwise0.60section
Pairwise summationrelated to Software implementationsNumPy0.60section
Pairwise summationrelated to Software implementationsJulia0.60section
Pairwise summationrelated to Software implementationsOther0.60section
Pairwise summationrelated to Software implementationsHPCsharp0.60section
Pairwise summationrelated to The algorithmIn0.60section
Pairwise summationrelated to The algorithmFor0.60section
Pairwise summationrelated to The algorithmNε0.60section
Pairwise summationrelated to The algorithmThe0.60section

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