Additive symmetries: the non-negative case

被引：1

作者：

Daumas, M ^{[1
]}

Langlois, P ^{[1
]}

机构：

[1] Ecole Normale Super Lyon, INRIA, CNRS, UMR 5668,Lab Informat Parallelisme, F-69364 Lyon, France

来源：

THEORETICAL COMPUTER SCIENCE | 2003年 / 291卷 / 02期

关键词：

floating point arithmetic; additive symmetric value; correction; IEEE-754; standard;

D O I：

10.1016/S0304-3975(02)00223-2

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

An additive symmetric value b of a with respect to c satisfies c = (a + b)/2. Existence and uniqueness of such b are basic properties in exact arithmetic that fail when a and b are floating point numbers and the computation of c performed in IEEE-754-like arithmetic. We exhibit and prove conditions on the existence, the uniqueness and the consistency of an additive symmetric value when b and c have the same sign. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：143 / 157

页数：15

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