Error-Free Transformation in Rounding Mode toward Zero

In this paper, we provide new error-free transformations for the sum and the product of two floating-point numbers. These error-free transformations are well suited for the CELL processor. We prove that these transformations are error-free, and we perform numerical experiments on the CELL processor comparing these new error-free transformations with the classic ones.

• Type: Conference
• Year: 2008
• Where: DAGSTUHL
• Authors: Stef Graillat, Jean Luc Lamotte, Diep Nguyen Hong
• Keywords: Cell Processor, DAGSTUHL 2008, Error-free Transformations, Floating-point Numbers, Software Engineering