Error Analysis on Floating-Point Arithmetic in C Programming Language Library Functions | IEEE Conference Publication | IEEE Xplore

Error Analysis on Floating-Point Arithmetic in C Programming Language Library Functions


Abstract:

Verification and interval arithmetic are the fundamental methods that we deal with in error analysis. Verification strategy is used in most error analysis on solution set...Show More

Abstract:

Verification and interval arithmetic are the fundamental methods that we deal with in error analysis. Verification strategy is used in most error analysis on solution sets of linear and nonlinear systems. On the other hand, interval arithmetic seems to be the best method for analyzing errors in floating point arithmetic by now. This paper devotes to analyze errors of floating-point arithmetic in C programming language library functions based on interval arithmetic. The authors gives algorithm descriptions of trigonometric, radical and exponential functions as well as algorithm analysis, and gives an upper bound of theoretical errors by comparing floating-point arithmetic's result with that of interval arithmetic.
Date of Conference: 09-11 September 2013
Date Added to IEEE Xplore: 17 October 2013
ISBN Information:
Conference Location: Xi'an, China

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