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.ImplementationAssembly: Extreme.Numerics.SinglePrecision.Net40 (in Extreme.Numerics.SinglePrecision.Net40.dll) Version: 6.0.16073.0 (6.0.16355.0)
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
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.
Numerical Libraries
Supported in: 6.0
Reference