In this paper, we present general methods to prove the correct rounding of division algo- rithms using Newton-Raphson’s iterations in software, for radix 2 and radix 10

When performing divisions using Newton-Raphson (or similar) itera- tions on a processor with a floating-point fused multiply-add instruction, one must sometimes scale the iterations,

• Lors d’une opération arithmétique mettant en jeu des nombres de p bits et de même signe, le résultat peut se révéler être trop grand ou trop petit pour être représentable

However, for the sake of completeness, we first analyze the theoretical complexity of our algorithm in terms of number of FP operations, using Priest’s multiplication and

(4) In this paper, we assume that we wish to evaluate the quotient b/a of two floating-point numbers, we focus on algorithms that first provide an approximation y to 1/a—which can

We next describe a second division algorithm in which a comparison between |c| and |d| is used to ensure a componentwise relative error bound of 9 2 u+O(u 2 ), and whose. quality

When the path has a bifurcation point, the ANM continuation has a very specic behaviour which is not encountered with classical predictor-corrector algorithms (Newton–Raphson

Several connection mechanisms have been integrated into hashkat; random, twitter suggest (pref- erential attachment), agent (selecting a certain agent type), agent type with

This work is part of FLIP (floating-point library for integer processor) which is a C library for the software support of single precision FP arithmetic on processors without

The function to be minimized gradient is pre- sented accordingly to three distinct methods: finite difference, forward differentiation and the use of the additional adjoint

In the case of the square root, because no error bound is given for the digit-recurrence algorithm we can only compare between the errors that we obtain if using the two different

Here an implementation using a floating-point division followed by a floor function generally leads to the correct result in practical cases, where floating-point is used to

Root growth under these conditions could have been sustained either by oxygen transported to the roots internally from the shoot or by the root's ability to respire and grow

Création de cours : IFT 1179 (C# : à compter d’automne 2005), IFT 1169 (à compter d’hiver 2006) Modification de cours : modification majeure du IFT 1166 (à compter de

indépendantes suivant des lois de Poisson de paramètres λ, µ... On va symétriser X pour obtenir

For componentwise relative accuracy, where we bound max  |Re z/Re z − 1|, |Im z/Im z − 1|  instead of |z/z − 1|, the benefit of using FMA-based compensation via the CHT

Use the equation 1/x = 1.37, the Newton Method, and the defective calculator to find 1/1.37 correct to 8 decimal places. Calculate the next

Cette mesure fournit l’importance d’une variable d’entrée pour l’instance X n relativement à toutes les autres instances et toutes les autres variables.. Cette mesure