accepted for publication in BIT, May 18, ERROR ESTIMATION OF FLOATING-POINT SUMMATION AND DOT PRODUCT SIEGFRIED M. RUMP ∗

Source URL: www.ti3.tu-harburg.de

• Complex analysis
• Normal distribution
• Sine
• Pi
• Floating point

BIT manuscript No. (will be inserted by the editor) On the Definition of Unit Roundoff Siegfried M. Rump · Marko Lange

Source URL: www.ti3.tu-harburg.de

• Probability distributions
• Computer arithmetic
• Floating point
• Base
• Beta distribution
• Normal distribution

IMPROVED ERROR BOUNDS FOR INNER PRODUCTS IN FLOATING-POINT ARITHMETIC CLAUDE-PIERRE JEANNEROD∗ AND SIEGFRIED M. RUMP† Abstract. Given two floating-point vectors x, y of dimension n and assuming rounding to nearest, w

Source URL: www.ti3.tu-harburg.de

• Computer arithmetic
• Floating point

BIT 41(3), pp. 540–562, 2001 RIGOROUS AND PORTABLE STANDARD FUNCTIONS SIEGFRIED M. RUMP Inst. of Computer Science III, Technical University Hamburg-Harburg, Schwarzenbergstr. 95, 21071 Hamburg, Germany. rump@tu-harbur

Source URL: www.ti3.tu-harburg.de

• Analytic functions
• Trigonometry
• Exponentials
• Dimensionless numbers
• Ratios
• Taylor series
• Floating point
• Sine
• Inverse trigonometric functions
• Hyperbolic function
• Exponentiation
• Transcendental function

S1 Prof. Dr. Jutta Rump Ernst-Boehe-StrLudwigshafen

Source URL: www.offensive-mittelstand-bw.de

BIT manuscript No. (will be inserted by the editor) Computing predecessor and successor in rounding to nearest Siegfried M. Rump · Paul Zimmermann · Sylvie Boldo · Guillaume Melquiond

Source URL: www.lri.fr

• Finite model theory
• Mathematics
• Category theory
• Universal property
• FO
• Rounding
• Abstraction

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Beschäftigungsfähigkeit als Existenzsicherung ! Von Jutta Rump !

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Beschäftigungsfähigkeit als Existenzsicherung ! Von Jutta Rump !

Source URL: p211099.webspaceconfig.de

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