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  • Extreme.Mathematics.LinearAlgebra.Complex
    • ComplexBandVector Class
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    • EstimateConditionNumber Method
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  • EstimateConditionNumber Method
ComplexSingularValueDecompositionEstimateConditionNumber Method Extreme Optimization Numerical Libraries for .NET Professional
Calculates an estimate for the condition number of the ComplexMatrix.

Namespace: Extreme.Mathematics.LinearAlgebra.Complex
Assembly: Extreme.Numerics.Net40 (in Extreme.Numerics.Net40.dll) Version: 6.0.16073.0 (6.0.16312.0)
Syntax

C#
VB
C++
F#
Copy
public override double EstimateConditionNumber()
Public Overrides Function EstimateConditionNumber As Double
public:
virtual double EstimateConditionNumber() override
abstract EstimateConditionNumber : unit -> float 
override EstimateConditionNumber : unit -> float 

Return Value

Type: Double
An estimate for the condition number of the ComplexMatrix.
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.

Version Information

Numerical Libraries

Supported in: 5.x, 4.x
See Also

Reference

ComplexSingularValueDecomposition Class
Extreme.Mathematics.LinearAlgebra.Complex Namespace
Extreme.Mathematics.LinearAlgebraLinearOperator

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