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Least significant bit evaluation of arithmetic expressions in single-precision

https://doi.org/10.1007/bf02253892
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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.19750550516openalex-snapshot
J. Stoer, Einführung in die Numerische Mathematik I. IX + 250 S. Preis brosch. DM 14,80. II. u. R. Bulirsch. IX + 286 S. m. 22 Abb. Preis brosch. DM 14,80 (Heidelberger Taschenbücher, Bd. 105 u. 114). Berlin/Heidelberg/New York 1972 und 1973. Springer‐Verlag
inferredcites →https://doi.org/10.1002/zamm.19770571215openalex-snapshot
Alefeld, G. / Herzberger, J. , Einführung in die Intervallrechnung, Zürich. B. I.‐Wissenschaftsverlag. 1974. 398 S., DM 22,‐. (Reihe Informatik 12).
inferredcites →https://doi.org/10.1002/zamm.19790590939openalex-snapshot
Kulisch, U., Grundlagen des Numerischen Rechnens. Mathematische Begründung der Rechnerarithmetik. Mannheim‐Wien‐Zürich. B. I.‐Wissenschaftsverlag. 1976. 467 S., DM 19,—. (Reihe Informatik 19)
inferredcites →https://doi.org/10.1007/978-3-0348-7123-5_1openalex-snapshot
Grundlagen des numerischen Rechnens
inferredcites →https://doi.org/10.1007/978-3-662-06862-5openalex-snapshot
Einführung in die Numerische Mathematik I
inferredcites →https://doi.org/10.1007/978-3-662-06865-6openalex-snapshot
Einführung in die Numerische Mathematik I
inferredcites →https://doi.org/10.1007/bf02241697openalex-snapshot
Solving nonlinear systems with least significant bit accuracy
inferredcites →https://doi.org/10.1016/b978-0-12-428650-4.50009-9openalex-snapshot
INTERVAL ARITHMETIC
inferredcites →https://doi.org/10.1016/c2013-0-11018-5openalex-snapshot
Computer Arithmetic in Theory and Practice
inferredcites →https://doi.org/10.1109/tc.1977.1674894openalex-snapshot
Floating-Point Computation of Functions with Maximum Accuracy
inferredcites →https://doi.org/10.15480/882.305openalex-snapshot
Solving nonlinear systems with least significant bit accuracy

What points at this work

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

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Numerical stability of simple geometric algorithms in the plane
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Enhanced Floating-Point Sums, Dot Products, and Polynomial Values
inferred← citeshttps://doi.org/10.1007/978-3-319-76526-6_5openalex-snapshot
Enhanced Floating-Point Sums, Dot Products, and Polynomial Values
inferred← citeshttps://doi.org/10.1007/978-3-7091-0525-2_1openalex-snapshot
Fast and Accurate Vector Operations
inferred← citeshttps://doi.org/10.1007/978-3-7091-6918-6_15openalex-snapshot
Validated Solution of Large Linear Systems
inferred← citeshttps://doi.org/10.1007/978-3-7091-7023-6_9openalex-snapshot
Solution of Linear and Nonlinear Algebraic Problems with Sharp, Guaranteed Bounds
inferred← citeshttps://doi.org/10.1007/bf00939676openalex-snapshot
Accurate scalar products and optimization
inferred← citeshttps://doi.org/10.1007/bf02241697openalex-snapshot
Solving nonlinear systems with least significant bit accuracy
inferred← citeshttps://doi.org/10.1007/bf02243806openalex-snapshot
A self-validating numerical method for the matrix exponential
inferred← citeshttps://doi.org/10.1007/bfb0099525openalex-snapshot
Sequential defect correction for high-accuracy floating-point algorithms
inferred← citeshttps://doi.org/10.1007/s00607-011-0162-zopenalex-snapshot
On the numerical stability of algorithmic differentiation
inferred← citeshttps://doi.org/10.1016/b978-0-12-428660-3.50010-0openalex-snapshot
SOLVING ALGEBRAIC PROBLEMS WITH HIGH ACCURACY
inferred← citeshttps://doi.org/10.1016/b978-0-12-428660-3.50011-2openalex-snapshot
EVALUATION OF ARITHMETIC EXPRESSIONS WITH MAXIMUM ACCURACY
inferred← citeshttps://doi.org/10.1016/s0076-5392(08)62857-xopenalex-snapshot
Bibliography on Enclosure Methods and Related Topics
inferred← citeshttps://doi.org/10.1109/arith.1991.145535openalex-snapshot
Exact accumulation of floating-point numbers
inferred← citeshttps://doi.org/10.1137/080738490openalex-snapshot
Ultimately Fast Accurate Summation
inferred← citeshttps://doi.org/10.1145/120694.120758openalex-snapshot
An improved approach to automatic error cumulation control
inferred← citeshttps://doi.org/10.1145/122649.122651openalex-snapshot
ADA software for teaching modern computer arithmetic
inferred← citeshttps://doi.org/10.1145/41958.41970openalex-snapshot
Numerical stability of geometric algorithms
inferred← citeshttps://doi.org/10.15480/882.305openalex-snapshot
Solving nonlinear systems with least significant bit accuracy
inferred← citeshttps://doi.org/10.1626/jcs.77.33openalex-snapshot
Effects of tillage method, fertilizer, and crop rotation on population dynamics of soybean cyst nematode (Heterodera glicines) and soybean growth
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