DecompositionOperations<TReal, TComplex>.SymmetricEstimateCondition Method

public void SymmetricEstimateCondition(
	MatrixTriangle storedTriangle,
	int n,
	Array2D<TReal> a,
	Array1D<int> ipiv,
	TReal anorm,
	out TReal rcond,
	out int info
)

Public Sub SymmetricEstimateCondition ( 
	storedTriangle As MatrixTriangle,
	n As Integer,
	a As Array2D(Of TReal),
	ipiv As Array1D(Of Integer),
	anorm As TReal,
	<OutAttribute> ByRef rcond As TReal,
	<OutAttribute> ByRef info As Integer
)

public:
void SymmetricEstimateCondition(
	MatrixTriangle storedTriangle, 
	int n, 
	Array2D<TReal> a, 
	Array1D<int> ipiv, 
	TReal anorm, 
	[OutAttribute] TReal% rcond, 
	[OutAttribute] int% info
)

member SymmetricEstimateCondition : 
        storedTriangle : MatrixTriangle * 
        n : int * 
        a : Array2D<'TReal> * 
        ipiv : Array1D<int> * 
        anorm : 'TReal * 
        rcond : 'TReal byref * 
        info : int byref -> unit 

Parameters

storedTriangle  MatrixTriangle

            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  Int32

            The order of the matrix A.  N >= 0.
            

a  Array2D<TReal>

            A is TReal array, 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  Array1D<Int32>

            Dimension (N)
            Details of the interchanges and the block structure of D
            as determined by DSYTRF.
            

anorm  TReal

            ANORM is TReal
            The 1-norm of the original matrix A.
            

rcond  TReal

            RCOND is TReal
            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  Int32

            = 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 ?SYCON.

public void SymmetricEstimateCondition(
	MatrixTriangle storedTriangle,
	int n,
	ReadOnlySpan2D<TReal> a,
	ReadOnlySpan<int> ipiv,
	TReal anorm,
	out TReal rcond,
	out int info
)

Public Sub SymmetricEstimateCondition ( 
	storedTriangle As MatrixTriangle,
	n As Integer,
	a As ReadOnlySpan2D(Of TReal),
	ipiv As ReadOnlySpan(Of Integer),
	anorm As TReal,
	<OutAttribute> ByRef rcond As TReal,
	<OutAttribute> ByRef info As Integer
)

public:
void SymmetricEstimateCondition(
	MatrixTriangle storedTriangle, 
	int n, 
	ReadOnlySpan2D<TReal> a, 
	ReadOnlySpan<int> ipiv, 
	TReal anorm, 
	[OutAttribute] TReal% rcond, 
	[OutAttribute] int% info
)

member SymmetricEstimateCondition : 
        storedTriangle : MatrixTriangle * 
        n : int * 
        a : ReadOnlySpan2D<'TReal> * 
        ipiv : ReadOnlySpan<int> * 
        anorm : 'TReal * 
        rcond : 'TReal byref * 
        info : int byref -> unit 

Parameters

storedTriangle  MatrixTriangle

            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  Int32

            The order of the matrix A.  N >= 0.
            

a  ReadOnlySpan2D<TReal>

            A is TReal array, 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  ReadOnlySpan<Int32>

            Dimension (N)
            Details of the interchanges and the block structure of D
            as determined by DSYTRF.
            

anorm  TReal

            ANORM is TReal
            The 1-norm of the original matrix A.
            

rcond  TReal

            RCOND is TReal
            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  Int32

            = 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 ?SYCON.

public abstract void SymmetricEstimateCondition(
	MatrixTriangle storedTriangle,
	int n,
	ReadOnlySpan<TReal> a,
	int lda,
	ReadOnlySpan<int> ipiv,
	TReal anorm,
	out TReal rcond,
	out int info
)

Public MustOverride Sub SymmetricEstimateCondition ( 
	storedTriangle As MatrixTriangle,
	n As Integer,
	a As ReadOnlySpan(Of TReal),
	lda As Integer,
	ipiv As ReadOnlySpan(Of Integer),
	anorm As TReal,
	<OutAttribute> ByRef rcond As TReal,
	<OutAttribute> ByRef info As Integer
)

public:
virtual void SymmetricEstimateCondition(
	MatrixTriangle storedTriangle, 
	int n, 
	ReadOnlySpan<TReal> a, 
	int lda, 
	ReadOnlySpan<int> ipiv, 
	TReal anorm, 
	[OutAttribute] TReal% rcond, 
	[OutAttribute] int% info
) abstract

abstract SymmetricEstimateCondition : 
        storedTriangle : MatrixTriangle * 
        n : int * 
        a : ReadOnlySpan<'TReal> * 
        lda : int * 
        ipiv : ReadOnlySpan<int> * 
        anorm : 'TReal * 
        rcond : 'TReal byref * 
        info : int byref -> unit 

Parameters

storedTriangle  MatrixTriangle

            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  Int32

            The order of the matrix A.  N >= 0.
            

a  ReadOnlySpan<TReal>

            A is TReal array, dimension (LDA,N)
            The block diagonal matrix D and the multipliers used to
            obtain the factor U or L as computed by DSYTRF.
            

lda  Int32

            The leading dimension of the array A.  LDA >= max(1,N).
            

ipiv  ReadOnlySpan<Int32>

            Dimension (N)
            Details of the interchanges and the block structure of D
            as determined by DSYTRF.
            

anorm  TReal

            ANORM is TReal
            The 1-norm of the original matrix A.
            

rcond  TReal

            RCOND is TReal
            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  Int32

            = 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 ?SYCON.

Reference