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Skip Navigation LinksHome»Documentation»Reference»Extreme.Mathematics»Matrix(T) Class»Methods»GetConditionNumber Method

MatrixTGetConditionNumber Method

Extreme Optimization Numerical Libraries for .NET Professional
Calculates the condition number of this matrix.

Namespace:  Extreme.Mathematics
Assembly:  Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.1
Syntax

C#
VB
C++
F#
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public virtual T GetConditionNumber()
Public Overridable Function GetConditionNumber As T
public:
virtual T GetConditionNumber()
abstract GetConditionNumber : unit -> 'T 
override GetConditionNumber : unit -> 'T 

Return Value

Type: T
The condition number of the MatrixT.
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.

See Also

Reference

MatrixT Class
Extreme.Mathematics Namespace
Extreme.Mathematics.LinearAlgebraLinearOperatorT
MatrixTEstimateConditionNumber

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