Published Online: 16 MAR 2009
Copyright © 2007 by John Wiley & Sons, Inc.
Wiley Encyclopedia of Computer Science and Engineering
How to Cite
Chesneaux, J.-M., Graillat, S. and Jézéquel, F. 2009. Rounding Errors. Wiley Encyclopedia of Computer Science and Engineering. 2480–2494.
- Published Online: 16 MAR 2009
Rounding errors present an inherent problem to all computer programs that involve floating-point numbers. They appear nearly in all elementary operations. By accumulation, these errors can affect the accuracy of a computed result possibly leading to some or total inaccuracy. First in this article, computer arithmetic that uses binary system and the IEEE standard for floating-point numbers is described together with some problems introduced by rounding errors. The effects of these rounding errors can be analyzed and studied by some methods like forward/backward analysis and interval or stochastic arithmetic. Finally, it is shown how the accuracy of the results can be improved by using compensated methods and multiprecision arithmetic.
- rounding error;
- floating-point arithmetic;
- IEEE 754 standard;
- accurate computation;
- interval arithmetic;
- stochastic arithmetic;