SingleComplexMatrix..::..GetConditionNumber Method

SingleComplexMatrix Class See Also

Calculates the condition number of this SingleMatrix.

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 virtual float GetConditionNumber()

Visual Basic (Declaration)
Public Overridable Function GetConditionNumber As Single

Visual C++
public: virtual float GetConditionNumber()

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. Calculating the singular values is an expensive operation. The EstimateConditionNumber()()()() method is faster, but returns an approximation to the condition number.

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.