Complex::Reciprocal Method (Complex)

.NET Framework (current version)

Returns the multiplicative inverse of a complex number.

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

Syntax

public:
static Complex Reciprocal(
	Complex value
)

Parameters

value: Type: System.Numerics::Complex
A complex number.

Return Value

Type: System.Numerics::Complex

The reciprocal of value.

The reciprocal, or multiplicative inverse, of a number x is a number y where x multiplied by y yields 1. The reciprocal of a complex number is the complex number that produces Complex::One when the two numbers are multiplied. If a complex number is represented by a +bi, its reciprocal is represented by the expression a/(a2+b2) + -b/(a2 + b2).

If value is Complex::Zero, the method returns Complex::Zero. Otherwise, it returns the result of the expression Complex::One/value.

Examples

The following example uses the Reciprocal method to calculate the reciprocal values of several complex numbers. It also demonstrates that the result of multiplying a complex number by its reciprocal is Complex::One.

C++

No code example is currently available or this language may not be supported.

Version Information

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