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Faithfully Rounded Floating-point Computations
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-0-8176-4705-6openalex-snapshot
Handbook of Floating-Point Arithmetic
inferredcites →https://doi.org/10.1007/bf01397083openalex-snapshot
A floating-point technique for extending the available precision
inferredcites →https://doi.org/10.1007/bf01975722openalex-snapshot
Quasi double-precision in floating point addition
inferredcites →https://doi.org/10.1007/pl00009321openalex-snapshot
Adaptive Precision Floating-Point Arithmetic and Fast Robust Geometric Predicates
inferredcites →https://doi.org/10.1007/s10543-015-0554-0openalex-snapshot
On the definition of unit roundoff
inferredcites →https://doi.org/10.1017/s0962492906350015openalex-snapshot
Accurate and efficient expression evaluation and linear algebra
inferredcites →https://doi.org/10.1109/arith.1991.145529openalex-snapshot
Semantics for exact floating point operations
inferredcites →https://doi.org/10.1109/tc.2008.215openalex-snapshot
Accurate Floating-Point Product and Exponentiation
inferredcites →https://doi.org/10.1137/050645671openalex-snapshot
Accurate Floating-Point Summation Part I: Faithful Rounding
inferredcites →https://doi.org/10.1137/1.9780898718027openalex-snapshot
Accuracy and Stability of Numerical Algorithms
inferredcites →https://doi.org/10.1145/1141277.1141586openalex-snapshot
Provably faithful evaluation of polynomials
inferredcites →https://doi.org/10.1145/212066.212075openalex-snapshot
A Fortran 90-based multiprecision system
inferredcites →https://doi.org/10.1145/2699469openalex-snapshot
Efficient Calculations of Faithfully Rounded l 2 -Norms of n -Vectors
inferredcites →https://doi.org/10.1145/3054947openalex-snapshot
On the Robustness of the 2Sum and Fast2Sum Algorithms
inferredcites →https://doi.org/10.1145/3121432openalex-snapshot
Tight and Rigorous Error Bounds for Basic Building Blocks of Double-Word Arithmetic
inferredcites →https://doi.org/10.1145/355958.355960openalex-snapshot
Software for Doubled-Precision Floating-Point Computations
inferredcites →https://doi.org/10.13182/nse68-a19548openalex-snapshot
The Art of Computer Programming
inferredcites →https://doi.org/10.2307/2317055openalex-snapshot
The Art of Computer Programming. Volume 2: Seminumerical Algorithms.
inferredcites →https://doi.org/10.5860/choice.34-0981openalex-snapshot
Accuracy and stability of numerical algorithms
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/jcc.70492openalex-snapshot
Optimized M‐ SHAKE Constraint Implementations for GPU ‐Accelerated Molecular Dynamics: Balancing Precision and Performance Across Architectures
inferred← citeshttps://doi.org/10.1007/978-3-030-86653-2_7openalex-snapshot
A Rapid Euclidean Norm Calculation Algorithm that Reduces Overflow and Underflow
inferred← citeshttps://doi.org/10.1007/978-3-032-06751-7_5openalex-snapshot
Algorithmic and Structural Programming in a Simple Language for Parallel Computing
inferred← citeshttps://doi.org/10.1007/978-3-032-30521-3_32openalex-snapshot
Acceleration of Multicomponent Multiple-Precision Arithmetic with Branch-Free Algorithms and SIMD Vectorization
inferred← citeshttps://doi.org/10.1007/978-3-032-34586-8_21openalex-snapshot
A Compensated Estrin Scheme for Accurate Polynomial Evaluation
inferred← citeshttps://doi.org/10.1007/s13160-023-00593-8openalex-snapshot
Fast and accurate computation of the Euclidean norm of a vector
inferred← citeshttps://doi.org/10.1007/s13160-026-00814-wopenalex-snapshot
INTLAB: the Matlab/Octave toolbox for reliable computing
inferred← citeshttps://doi.org/10.1016/j.cam.2019.112610openalex-snapshot
Verified bounds for the determinant of real or complex point or interval matrices
inferred← citeshttps://doi.org/10.1109/arith51176.2021.00014openalex-snapshot
Tagged error: tracing numerical error through computations
inferred← citeshttps://doi.org/10.1109/arith58626.2023.00032openalex-snapshot
Vectorized Nonlinear Functions with the RISC-V Vector Extension
inferred← citeshttps://doi.org/10.1109/arith61463.2024.00015openalex-snapshot
Useful applications of correctly-rounded operators of the form ab + cd + e
inferred← citeshttps://doi.org/10.1109/ipdps64566.2025.00095openalex-snapshot
Accelerating Sparse Linear Solvers on Intelligence Processing Units
inferred← citeshttps://doi.org/10.1109/iscas48785.2022.9937955openalex-snapshot
Maximising Parallel Memory Access for Low Latency FPGA Designs
inferred← citeshttps://doi.org/10.1109/mcsoc67473.2025.00016openalex-snapshot
Sparse Iterative Solvers Using High-Precision Arithmetic with Quasi Multi-Word Algorithms
inferred← citeshttps://doi.org/10.1109/scw63240.2024.00213openalex-snapshot
High-Performance Eigensolver Combining EigenExa and Iterative Refinement
inferred← citeshttps://doi.org/10.1137/24m165096xopenalex-snapshot
Verified Error Bounds for Matrix Decompositions
inferred← citeshttps://doi.org/10.1145/3549205openalex-snapshot
Algorithm 1029: Encapsulated Error, a Direct Approach to Evaluate Floating-Point Accuracy
inferred← citeshttps://doi.org/10.1145/3568672openalex-snapshot
Accurate Calculation of Euclidean Norms Using Double-word Arithmetic
inferred← citeshttps://doi.org/10.14495/jsiaml.17.13openalex-snapshot
Fast and accurate algorithm for matrix multiplication using fused multiply-add
inferred← citeshttps://doi.org/10.70675/51b1c8b1zd4c6z440dz8a74z0de4062a90b2openalex-snapshot
Gestion du compromis entre la performance et la précision de code de calcul
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