Calculates an estimate for the condition number of the matrix underlying this system of equations.

Namespace: Extreme.Mathematics.LinearAlgebra
Assembly: Extreme.Numerics (Extreme.Numerics)

Syntax

Visual Basic (Declaration)
Public Overrides Function EstimateConditionNumber As Double
C#
public override double EstimateConditionNumber ()
C++
public:
virtual double EstimateConditionNumber () override

Return Value

An estimate for the condition number of the GeneralMatrix.

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 PositiveInfinity.

See Also