SingleComplexMatrix..::..EstimateConditionNumber Method

SingleComplexMatrix Class See Also

Calculates an estimate for the condition number of this SingleComplexMatrix.

Namespace: Extreme.Mathematics
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 EstimateConditionNumber()

Visual Basic (Declaration)
Public Overrides Function EstimateConditionNumber As Single

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

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

Return Value

An estimate for the condition number of the SingleComplexMatrix.

Remarks

The condition number of a matrix is defined as the ratio of its largest to its smallest singular value. Because the calculation of singular values is a very expensive operation, an estimate that is cheaper to calculate is usually preferred.

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 Infinity.