SinglePermutationMatrix..::..GetConditionNumber Method

SinglePermutationMatrix Class See Also

Calculates the condition number of this SingleMatrix.

Namespace: Extreme.Mathematics.LinearAlgebra
Assembly: Extreme.Numerics.SinglePrecision.Net40 (in Extreme.Numerics.SinglePrecision.Net40.dll) Version: 4.0.10170.0 (4.0.11003.0)

Syntax

C#
public override float GetConditionNumber()

Visual Basic (Declaration)
Public Overrides Function GetConditionNumber As Single

Visual C++
public: virtual float GetConditionNumber() override

F#
abstract GetConditionNumber : unit -> float32 override GetConditionNumber : unit -> float32

Return Value

The condition number of the SingleMatrix.

Remarks

The condition number of a matrix is defined as the ratio of its largest to its smallest singular value. The condition number of a permutation matrix is always 1.

The condition number gives an indication of the worst case loss of precision when solving a system of simultaneous linear equations.

The condition number of a singular matrix is infinite, which is returned as PositiveInfinity.