IMSL C# Numerical Library

Complex.Sqrt Method 

Returns the square root of a Complex, with a branch cut along the negative real axis.

public static Complex Sqrt(
   Complex z
);

Parameters

z
A Complex object.

Return Value

A newly constructed Complex initialized to square root of z.

Remarks

Specifically, if z = x+iy,

{\rm sqrt}(\bar{z}) = \overline{{\rm sqrt}(z)}.

{\rm sqrt}(\pm 0 + i0) returns +0 + i0.

{\rm sqrt}(-\infty + iy) returns +0 + i\infty, for finite positive-signed y.

{\rm sqrt}(+\infty + iy) returns + \infty + i0, for finite positive-signed y.

{\rm sqrt}(x+i\infty) returns + \infty + i \infty, for all x (including NaN).

{\rm sqrt}(-\infty + i \NaN) returns \NaN \pm  i \infty (where the sign of the imaginary part of the result is unspecified).

{\rm sqrt}(+\infty + i \NaN) returns +\infty + i \NaN.

{\rm sqrt}(x + i \NaN) returns \NaN + i \NaN and optionally raises the invalid exception, for finite x.

{\rm sqrt}(\NaN + iy) returns \NaN + i \NaN and optionally raises the invalid exception, for finite y.

{\rm sqrt}(\NaN + i \NaN) returns \NaN + i \NaN.

See Also

Complex Class | Imsl.Math Namespace