  We present a new simple algorithm for efficient, and relatively accurate
computation of the Faddeyeva function w(z). The algorithm carefully exploits
previous approximations by Hui et al [1978] and Humlicek [1982] along with
asymptotic expressions from Laplace continued fractions. Over a wide and fine
grid of the complex argument, z=x+iy, numerical results from the present
approximation show a maximum relative error less than 4.0x10-5 for both real
and imaginary parts of w while running in a relatively shorter execution time
than other competitive techniques. In addition to the calculation of the
Faddeyeva function, w, partial derivatives of the real and imaginary parts of
the function can easily be calculated and returned as optional output.
