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  • SymmetricEstimateCondition Method
ManagedLapackOfSingleSymmetricEstimateCondition Method Extreme Optimization Numerical Libraries for .NET Professional

Estimates the reciprocal of the condition number (in the 1-norm) of a real symmetric matrix A using the factorization A = U*D*UT or A = L*D*LT computed by DSYTRF.

Namespace: Extreme.Mathematics.LinearAlgebra.Implementation
Assembly: Extreme.Numerics.SinglePrecision.Net40 (in Extreme.Numerics.SinglePrecision.Net40.dll) Version: 6.0.16073.0 (6.0.16355.0)
Syntax

C#
VB
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public override void SymmetricEstimateCondition(
	MatrixTriangle storedTriangle,
	int n,
	Array2D<float> a,
	Array1D<int> ipiv,
	float anorm,
	out float rcond,
	out int info
)
Public Overrides Sub SymmetricEstimateCondition ( 
	storedTriangle As MatrixTriangle,
	n As Integer,
	a As Array2D(Of Single),
	ipiv As Array1D(Of Integer),
	anorm As Single,
	<OutAttribute> ByRef rcond As Single,
	<OutAttribute> ByRef info As Integer
)
public:
virtual void SymmetricEstimateCondition(
	MatrixTriangle storedTriangle, 
	int n, 
	Array2D<float> a, 
	Array1D<int> ipiv, 
	float anorm, 
	[OutAttribute] float% rcond, 
	[OutAttribute] int% info
) override
abstract SymmetricEstimateCondition : 
        storedTriangle : MatrixTriangle * 
        n : int * 
        a : Array2D<float32> * 
        ipiv : Array1D<int> * 
        anorm : float32 * 
        rcond : float32 byref * 
        info : int byref -> unit 
override SymmetricEstimateCondition : 
        storedTriangle : MatrixTriangle * 
        n : int * 
        a : Array2D<float32> * 
        ipiv : Array1D<int> * 
        anorm : float32 * 
        rcond : float32 byref * 
        info : int byref -> unit 

Parameters

storedTriangle
Type: Extreme.MathematicsMatrixTriangle
            Specifies whether the details of the factorization are stored
            as an upper or lower triangular matrix.
            = 'U':  Upper triangular, form is A = U*D*UT;
            = 'L':  Lower triangular, form is A = L*D*LT.
            
n
Type: SystemInt32
            The order of the matrix A.  N >= 0.
            
a
Type: Extreme.CollectionsArray2DSingle
            Dimension (LDA,N)
            The block diagonal matrix D and the multipliers used to
            obtain the factor U or L as computed by DSYTRF.
            
            The leading dimension of the array A.  LDA >= max(1,N).
            
ipiv
Type: Extreme.CollectionsArray1DInt32
            Dimension (N)
            Details of the interchanges and the block structure of D
            as determined by DSYTRF.
            
anorm
Type: SystemSingle
            The 1-norm of the original matrix A.
            
rcond
Type: SystemSingle
            The reciprocal of the condition number of the matrix A,
            computed as RCOND = 1/(ANORM * AINVNM), where AINVNM is an
            estimate of the 1-norm of inv(A) computed in this routine.
            
info
Type: SystemInt32
            = 0:  successful exit
            < 0:  if INFO = -i, the i-th argument had an illegal value
            
Remarks

            An estimate is obtained for norm(inv(A)), and the reciprocal of the
            condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).
            

This method corresponds to the LAPACK routine DSYCON.

Version Information

Numerical Libraries

Supported in: 6.0
See Also

Reference

ManagedLapackOfSingle Class
Extreme.Mathematics.LinearAlgebra.Implementation Namespace

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