erfcinv

Inverse complementary error function

📝Syntax

R = erfcinv(X)

📥Input Arguments

Parameter	Description
X	a real single or real double scalar, vector, matrix, or multidimensional array. Sparse and complex inputs are not supported.

📤Output Arguments

Parameter	Description
R	inverse complementary error function values, returned with the same size and floating-point class as X.

📄Description

erfcinv computes the inverse complementary error function element by element.

The inverse complementary error function is defined by:

$$erfc(erfcinv(x)) = x$$

Values outside the interval [0, 2] return NaN. The values 0 and 2 return Inf and -Inf, respectively.

Use erfcinv instead of erfinv(1 - x) when x is close to zero to avoid round-off errors.

💡Examples

Find the inverse complementary error function of a scalar.

R = erfcinv(0.3)

Evaluate boundary and out-of-domain values.

V = [-10 0 0.5 1.3 2 Inf];
R = erfcinv(V)

Find the inverse complementary error function of the elements of a matrix.

M = [0.1 1.2; 1 0.9];
R = erfcinv(M)

Avoid round-off from erfinv(1 - x) for very small x.

x = 1e-100;
A = erfinv(1 - x);
B = erfcinv(x);

🔗See Also

🕔Version History

Version	Description
1.17.0	initial version