Complex.Multiply Method (Complex, Complex)


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Returns the product of two complex numbers.

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

Public Shared Function Multiply (
	left As Complex,
	right As Complex
) As Complex


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.

Imports System.Numerics

Module Example
   Public Sub Main()
      Dim number1 As New Complex(8.3, 17.5)
      Dim numbers() As Complex = { New Complex(1.4, 6.3), 
                                   New Complex(-2.7, 1.8), 
                                   New Complex(3.1, -2.1) }
      For Each number2 In numbers
         Console.WriteLine("{0} x {1} = {2}", number1, number2, 
                           Complex.Multiply(number1, number2))
   End Sub
End Module
' 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)

Universal Windows Platform
Available since 8
.NET Framework
Available since 4.0
Portable Class Library
Supported in: portable .NET platforms
Available since 4.0
Windows Phone
Available since 8.1
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