02032613

j

02032613 Langlois, Philippe More accuracy at fixed precision. J. Comput. Appl. Math. 162, No. 1, 57-77 (2004). 2004 Elsevier Science B.V. (North-Holland), Amsterdam EN Automatic correction CENA method Accuracy Finite precision Floating point arithmetic rounding errors

doi:10.1016/j.cam.2003.08.017

Summary: Several different techniques and software intend to improve the accuracy of results computed in a fixed finite precision. Here we focus on the CENA method that processes an automatic correction of the first-order effect of the rounding errors the computation generates. This method provides a corrected result and a bound of the residual error for a class of algorithms we identify. We present the main features of the CENA method and illustrate its interests and limitations with examples.