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A statistical model of roundoff error for varying length floating-point arithmetic
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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/bf01966093openalex-snapshot
A set of procedures making real arithmetic of unlimited accuracy possible within ALGOL 60
inferredcites →https://doi.org/10.1007/bf02165233openalex-snapshot
Correcting approximations to multiple roots of polynomials
inferredcites →https://doi.org/10.1016/0016-0032(63)90581-7openalex-snapshot
Error, propagation for difference methods
inferredcites →https://doi.org/10.1016/0016-0032(64)90390-4openalex-snapshot
Rounding errors in algebraic processes
inferredcites →https://doi.org/10.1090/s0025-5718-1970-0400621-5openalex-snapshot
Table erratum: Discrete variable methods in ordinary differential equations (Wiley, New York, 1962) by Peter Henrici
inferredcites →https://doi.org/10.1115/1.3629762openalex-snapshot
Error Propagation for Difference Methods
inferredcites →https://doi.org/10.1145/365170.365212openalex-snapshot
Tests of probabilistic models for propagation of roundoff errors
inferredcites →https://doi.org/10.13182/nse70-a19705openalex-snapshot
The Art of Computer Programming
inferredcites →https://doi.org/10.2307/2002959openalex-snapshot
Rounding Errors in Algebraic Processes
inferredcites →https://doi.org/10.2307/2282897openalex-snapshot
Error Propagation for Difference Methods.
inferredcites →https://doi.org/10.2307/2311275openalex-snapshot
Discrete Variable Methods in Ordinary Differential Equations.
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/978-3-030-77961-0_61openalex-snapshot
Error Estimation and Correction Using the Forward CENA Method
inferred← citeshttps://doi.org/10.1007/bf01086544openalex-snapshot
Computational methods of linear algebra
inferred← citeshttps://doi.org/10.1007/bf01931367openalex-snapshot
Taylor expansion of the accumulated rounding error
inferred← citeshttps://doi.org/10.1007/bf01932311openalex-snapshot
On some topological properties of numerical algorithms
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/bf01934463openalex-snapshot
Error linearization as an effective tool for experimental analysis of the numerical stability of algorithms
inferred← citeshttps://doi.org/10.1007/bf02239161openalex-snapshot
Optimale Basiswahl für eine Gleitkomma-Arithmetik
inferred← citeshttps://doi.org/10.1007/bf02246434openalex-snapshot
Optimale Basiswahl für eine Gleitkomma-Arithmetik
inferred← citeshttps://doi.org/10.1007/s11222-019-09902-zopenalex-snapshot
A modern retrospective on probabilistic numerics
inferred← citeshttps://doi.org/10.1016/j.matcom.2022.06.024openalex-snapshot
Statistical approach for highest precision numerical differentiation
inferred← citeshttps://doi.org/10.1023/a:1021919329342openalex-snapshot
Automatic Linear Correction of Rounding Errors
inferred← citeshttps://doi.org/10.1109/tc.1973.5009113openalex-snapshot
On the Precision Attainable with Various Floating-Point Number Systems
inferred← citeshttps://doi.org/10.1109/tmc.2025.3599529openalex-snapshot
A Framework of Arithmetic-Level Variable Precision Computing for In-Memory Architecture: Case Study in MIMO Signal Processing
inferred← citeshttps://doi.org/10.1137/18m1226312openalex-snapshot
A New Approach to Probabilistic Rounding Error Analysis
inferred← citeshttps://doi.org/10.1137/19m1270434openalex-snapshot
Probabilistic Error Analysis for Inner Products
inferred← citeshttps://doi.org/10.1137/23m1585817openalex-snapshot
Probabilistic Rounding Error Analysis of Modified Gram–Schmidt
inferred← citeshttps://doi.org/10.1145/3563322openalex-snapshot
Oracle-free repair synthesis for floating-point programs
inferred← citeshttps://doi.org/10.17169/refubium-25804openalex-snapshot
A modern retrospective on probabilistic numerics
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