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
收藏
页码：143 / 157
页数：15
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