erfc

Complementary error function.

Category: Mathematics > Elementary Math

Syntax

Y = erfc(X)

Returns 1 - erf(X) for each element of X, computed accurately.

Description

erfc(x) equals 1 - erf(x), but it is computed without subtraction, so it keeps full precision for large x, where erf(x) is so close to 1 that the difference would lose all digits. The values go from 2 at -Inf to 0 at Inf, and erfc(0) is 1. It gives tail probabilities of the normal distribution.

Input arguments

X
Real numeric array of any size.

Output arguments

Y
Array of the same size as X.

Example

Precision for large arguments

erfc([0 1 Inf])
1 - erf(6)
erfc(6)
Output
ans = 1×3

    1.0000    0.1573         0
ans = 0
ans = 2.1520e-17

See also

erf erfcinv erfcx erfinv