ERFC

Purpose:

Computes the complementary error function.

ERFC(val)

val

A scalar, series, or table.

A scalar, series, or table.

erfc(1)

returns 0.15729921.

erfc(1 + i)

returns -0.316151 - 0.190453i

erfcinv(erfc(.2))

returns 0.2 indicating that ERFC and ERFCINV are inverse functions.

erfc(-2..0.01..2);

xlabel("x");ylabel("erfc(x)");label("Complementary Error Function");

returns 401 samples of erfc(x).

The complementary error function is defined as:

$image\erfc01.gif$

ERFC is computed from the FADDEEVA function based on an algorithm developed by Steven G. Johnson. The Faddeeva function is defined as:

See ERFCX to compute the scaled complementary error function.