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  • Extreme.Mathematics.LinearAlgebra.Complex Namespace
    • ComplexBandVector Class
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  • GetConditionNumber Method
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ComplexConstantMatrix..::..GetConditionNumber Method

ComplexConstantMatrix Class See Also 
Calculates an estimate for the condition number of this matrix.

Namespace: Extreme.Mathematics.LinearAlgebra.Complex
Assembly: Extreme.Numerics.Net40 (in Extreme.Numerics.Net40.dll) Version: 4.2.11333.0 (4.2.12253.0)

Syntax

C#
                      public override double GetConditionNumber()
Visual Basic (Declaration)
                      Public Overrides Function GetConditionNumber As Double
Visual C++
                      public:
virtual double GetConditionNumber() override
F#
                      abstract GetConditionNumber : unit -> float 
override GetConditionNumber : unit -> float 

Return Value

An estimate for the condition number of the Matrix.

Remarks

The condition number of a matrix is defined as the ratio of its largest to its smallest singular value. For a diagonal matrix, the condition number is very easy to calculate. It is the ratio of the largest to the smallest diagonal element.

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

ComplexConstantMatrix Class
Extreme.Mathematics.LinearAlgebra.Complex Namespace
Extreme.Mathematics.LinearAlgebra..::..LinearOperator

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