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Complex.Multiply Method

Returns the product of two complex numbers.

Namespace:  System.Numerics
Assembly:  System.Numerics (in System.Numerics.dll)

public static Complex Multiply(
	Complex left,
	Complex right


Type: System.Numerics.Complex
The first complex number to multiply.
Type: System.Numerics.Complex
The second complex number to multiply.

Return Value

Type: System.Numerics.Complex
The product of the left and right parameters.

The multiplication of a complex number, a + bi, and a second complex number, c + di, takes the following form:

(ac - bd) + (ad + bc)i

If the multiplication results in an overflow in either the real or imaginary component, the value of that component is either Double.PositiveInfinity or Double.NegativeInfinity.

The Multiply method is implemented for languages that do not support custom operators. Its behavior is identical to multiplication using the multiplication operator.

The following example multiples a complex number by each element in an array of complex numbers.

using System;
using System.Numerics;

public class Example
   public static void Main()
      Complex number1 = new Complex(8.3, 17.5);
      Complex[] numbers = { new Complex(1.4, 6.3), 
                            new Complex(-2.7, 1.8), 
                            new Complex(3.1, -2.1) };
      foreach (Complex number2 in numbers)
         Console.WriteLine("{0} x {1} = {2}", number1, number2, 
                           Complex.Multiply(number1, number2));
// The example displays the following output:
//       (8.3, 17.5) x (1.4, 6.3) = (-98.63, 76.79)
//       (8.3, 17.5) x (-2.7, 1.8) = (-53.91, -32.31)
//       (8.3, 17.5) x (3.1, -2.1) = (62.48, 36.82)

.NET Framework

Supported in: 4

.NET Framework Client Profile

Supported in: 4

Windows 7, Windows Vista SP1 or later, Windows XP SP3, Windows Server 2008 (Server Core not supported), Windows Server 2008 R2 (Server Core supported with SP1 or later), Windows Server 2003 SP2

The .NET Framework does not support all versions of every platform. For a list of the supported versions, see .NET Framework System Requirements.