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A New Distillation Algorithm for Floating-Point Summation

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/zamm.19740540106openalex-snapshot
Rundungsfehleranalyse einiger Verfahren zur Summation endlicher Summen
inferredcites →https://doi.org/10.1007/978-1-4471-0249-6openalex-snapshot
Applied Interval Analysis
inferredcites →https://doi.org/10.1007/bf01397083openalex-snapshot
A floating-point technique for extending the available precision
inferredcites →https://doi.org/10.1109/arith.1991.145549openalex-snapshot
Algorithms for arbitrary precision floating point arithmetic
inferredcites →https://doi.org/10.1137/0914050openalex-snapshot
The Accuracy of Floating Point Summation
inferredcites →https://doi.org/10.1137/1.9780898718027openalex-snapshot
Accuracy and Stability of Numerical Algorithms
inferredcites →https://doi.org/10.1137/1037130openalex-snapshot
On Floating-Point Summation
inferredcites →https://doi.org/10.1137/s1064827502407627openalex-snapshot
Accurate and Efficient Floating Point Summation
inferredcites →https://doi.org/10.1137/s1064827596314200openalex-snapshot
A Distillation Algorithm for Floating-Point Summation
inferredcites →https://doi.org/10.1145/103162.103163openalex-snapshot
What every computer scientist should know about floating-point arithmetic
inferredcites →https://doi.org/10.1145/361573.361584openalex-snapshot
A comparison of floating point summation methods
inferredcites →https://doi.org/10.1145/362384.362498openalex-snapshot
Accurate floating-point summation
inferredcites →https://doi.org/10.1145/362854.362889openalex-snapshot
On accurate floating-point summation
inferredcites →https://doi.org/10.1145/363707.363723openalex-snapshot
Pracniques: further remarks on reducing truncation errors
inferredcites →https://doi.org/10.5860/choice.39-3424openalex-snapshot
Applied interval analysis

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-3-642-38756-2_29openalex-snapshot
On the Complexity of Approximate Sum of Sorted List
inferred← citeshttps://doi.org/10.1007/s00607-005-0120-8openalex-snapshot
Line Segment Intersection Testing
inferred← citeshttps://doi.org/10.1016/j.cam.2012.10.010openalex-snapshot
Accurate solution of dense linear systems, part I: Algorithms in rounding to nearest
inferred← citeshttps://doi.org/10.1017/s096249291000005xopenalex-snapshot
Verification methods: Rigorous results using floating-point arithmetic
inferred← citeshttps://doi.org/10.1109/arith.2009.16openalex-snapshot
On the Computation of Correctly-Rounded Sums
inferred← citeshttps://doi.org/10.1109/ispdc.2010.12openalex-snapshot
Pretty Good Accuracy in Matrix Multiplication with GPUs
inferred← citeshttps://doi.org/10.1109/tc.2011.27openalex-snapshot
On the Computation of Correctly Rounded Sums
inferred← citeshttps://doi.org/10.1109/telfor.2015.7377518openalex-snapshot
One solution of the accurate summation using fixed-point accumulator
inferred← citeshttps://doi.org/10.1137/050645671openalex-snapshot
Accurate Floating-Point Summation Part I: Faithful Rounding
inferred← citeshttps://doi.org/10.1137/07068816xopenalex-snapshot
Accurate Floating-Point Summation Part II: Sign, K -Fold Faithful and Rounding to Nearest
inferred← citeshttps://doi.org/10.1137/070710020openalex-snapshot
Correct Rounding and a Hybrid Approach to Exact Floating-Point Summation
inferred← citeshttps://doi.org/10.1137/080738490openalex-snapshot
Ultimately Fast Accurate Summation
inferred← citeshttps://doi.org/10.1137/25m1722573openalex-snapshot
Verified Error Bounds for Sparse Systems Part I: The Splitting of a Matrix into Two Factors
inferred← citeshttps://doi.org/10.1145/1824801.1824815openalex-snapshot
Algorithm 908
inferred← citeshttps://doi.org/10.1155/2011/417569openalex-snapshot
Improving Accuracy for Matrix Multiplications on GPUs
inferred← citeshttps://doi.org/10.1587/nolta.1.2openalex-snapshot
Fast high precision summation
inferred← citeshttps://doi.org/10.70675/a8714c7dz67bdz4a72z9630zb0e101d80169openalex-snapshot
Towards reproducible, accurately rounded and efficient BLAS
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