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Claude-Pierre Jeannerod, Jean-Michel Muller, Antoine Plet

Public reference bibliography and cataloged PDF materials authored or published by Claude-Pierre Jeannerod, Jean-Michel Muller, Antoine Plet.

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The Classical Relative Error Bounds for Computing $\sqrt(a^2 + b^2)$ and $c/\sqrt(a^2 + b^2)$ in Binary Floating-Point Arithmetic are Asymptotically Optimal

Year: 2017 • Source: hal.science • Listed PDF

We study the accuracy of classical algorithms for evaluating expressions of the form √a2 + b2 and c/ √a2 + b2 in radix-2, precision-p floating-point arithmetic, assuming that the elementary arithmetic operations ±, ×, /,...