Machine epsilon
Upper bound on rounding error in floating-point arithmetic / From Wikipedia, the free encyclopedia
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Machine epsilon or machine precision is an upper bound on the relative approximation error due to rounding in floating point number systems. This value characterizes computer arithmetic in the field of numerical analysis, and by extension in the subject of computational science. The quantity is also called macheps and it has the symbols Greek epsilon .
There are two prevailing definitions, denoted here as rounding machine epsilon and interval machine epsilon. The machine epsilon is dependent on the type of rounding used and is also called unit roundoff, which has the symbol bold Roman u. However, in the commonly used definition, machine epsilon is independent of rounding method, and may be equivalent to u or 2u.