naginterfaces.library.specfun.erfc_​real_​vector

naginterfaces.library.specfun.erfc_real_vector(x)

erfc_real_vector returns an array of values of the complementary error function, $erfc\left(x\right)$.

For full information please refer to the NAG Library document for s15ar

https://support.nag.com/numeric/nl/nagdoc_30/flhtml/s/s15arf.html

Parameters

xfloat, array-like, shape $\left(n\right)$

The argument $x_{\text{i}}$ of the function, for $\text{i}=1,2,\dots ,n$.

Returns

ffloat, ndarray, shape $\left(n\right)$

$erfc\left(x_i\right)$, the function values.

Raises

NagValueError

(errno $1$)

On entry, $n=⟨value⟩$.

Constraint: $n\ge 0$.

Notes

erfc_real_vector calculates approximate values for the complement of the error function

$$erfc\left(x\right)=\frac{2}{\sqrt{\pi }}{\int }_x^{\infty }{e}^{-t^2}dt=1-erf\left(x\right)\text{,}$$

for an array of arguments $x_{\text{i}}$, for $\text{i}=1,2,\dots ,n$.

See erfc_real() for details on the algorithm used.