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Analysis of some known methods of improving the accuracy of floating-point sums
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/bf01397083openalex-snapshot
A floating-point technique for extending the available precision
inferredcites →https://doi.org/10.1007/bf01956026openalex-snapshot
On the representation of zero in floating-point arithmetic
inferredcites →https://doi.org/10.1007/bf01975722openalex-snapshot
Quasi double-precision in floating point addition
inferredcites →https://doi.org/10.1017/s0305004100026414openalex-snapshot
A process for the step-by-step integration of differential equations in an automatic digital computing machine
inferredcites →https://doi.org/10.1049/piee.1971.0085openalex-snapshot
Design of large high-speed floating-point-arithmetic units
inferredcites →https://doi.org/10.1063/1.3057658openalex-snapshot
Mathematical Methods for Digital Computers
inferredcites →https://doi.org/10.1145/1460833.1460856openalex-snapshot
The Maniac III arithmetic system
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/10.1145/362814.362823openalex-snapshot
Improving round-off in Runge-Kutta computations with Gill's method
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/10.1145/364914.364929openalex-snapshot
Letters to the editor: a final word on reducing truncation errors
inferredcites →https://doi.org/10.1145/365660.365680openalex-snapshot
The performance of a system for automatic segmentation of programs within an ALGOL compiler (GIER ALGOL)
inferredcites →https://doi.org/10.1145/512274.512287openalex-snapshot
Reducing truncation errors by programming
inferredcites →https://doi.org/10.2307/2317055openalex-snapshot
The Art of Computer Programming. Volume 2: Seminumerical Algorithms.
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/11757283_8openalex-snapshot
Floating-Point Verification Using Theorem Proving
inferred← citeshttps://doi.org/10.1007/978-3-030-93571-9_6openalex-snapshot
A Class of Fast and Accurate Multi-layer Block Summation and Dot Product Algorithms
inferred← citeshttps://doi.org/10.1007/978-3-7091-6918-6_19openalex-snapshot
FORTRAN-XSC A Portable Fortran 90 Module Library for Accurate and Reliable Scientific Computing
inferred← citeshttps://doi.org/10.1007/978-94-011-7021-5_9openalex-snapshot
Integrated Circuit Applications
inferred← citeshttps://doi.org/10.1007/bf01932690openalex-snapshot
Towards accurate statistical estimation of rounding errors in floating-point computations
inferred← citeshttps://doi.org/10.1007/pl00009321openalex-snapshot
Adaptive Precision Floating-Point Arithmetic and Fast Robust Geometric Predicates
inferred← citeshttps://doi.org/10.1007/s40324-026-00428-9openalex-snapshot
Reduced- and mixed-precision Runge–Kutta methods in floating-point arithmetic
inferred← citeshttps://doi.org/10.1016/0020-0190(75)90022-8openalex-snapshot
Evading the drift in floating-point addition
inferred← citeshttps://doi.org/10.1016/b978-0-12-708245-5.50006-3openalex-snapshot
What Do We Need Beyond IEEE Arithmetic ?
inferred← citeshttps://doi.org/10.1016/j.amc.2006.11.095openalex-snapshot
Accurate floating-point summation: a new approach
inferred← citeshttps://doi.org/10.1016/s0024-3795(00)00238-xopenalex-snapshot
The factorability of symmetric matrices and some implications for statistical linear models
inferred← citeshttps://doi.org/10.1016/s0076-5392(08)62843-xopenalex-snapshot
Proposal for Accurate Floating-Point Vector Arithmetic
inferred← citeshttps://doi.org/10.1016/s0076-5392(08)62857-xopenalex-snapshot
Bibliography on Enclosure Methods and Related Topics
inferred← citeshttps://doi.org/10.1029/2021ms002684openalex-snapshot
Fluid Simulations Accelerated With 16 Bits: Approaching 4x Speedup on A64FX by Squeezing ShallowWaters.jl Into Float16
inferred← citeshttps://doi.org/10.1080/10618600.2018.1549052openalex-snapshot
Fast and Stable Multivariate Kernel Density Estimation by Fast Sum Updating
inferred← citeshttps://doi.org/10.1090/mcom/3123openalex-snapshot
Error bounds on complex floating-point multiplication with an FMA
inferred← citeshttps://doi.org/10.1109/arith.1991.145529openalex-snapshot
Semantics for exact floating point operations
inferred← citeshttps://doi.org/10.1109/arith.1991.145549openalex-snapshot
Algorithms for arbitrary precision floating point arithmetic
inferred← citeshttps://doi.org/10.1109/arith.2018.8464793openalex-snapshot
On Various Ways to Split a Floating-Point Number
inferred← citeshttps://doi.org/10.1137/040617005openalex-snapshot
Extensions of Priest’s Double‐Precision Summation
inferred← citeshttps://doi.org/10.1137/070679946openalex-snapshot
Reducing Floating Point Error in Dot Product Using the Superblock Family of Algorithms
inferred← citeshttps://doi.org/10.1145/1039813.1039815openalex-snapshot
Analysis and applications of Priest's distillation
inferred← citeshttps://doi.org/10.1145/355958.355960openalex-snapshot
Software for Doubled-Precision Floating-Point Computations
inferred← citeshttps://doi.org/10.2206/kyushumfs.39.209openalex-snapshot
ROUND-OFF ERRORS IN FLOATING-POINT ADDITIONS
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