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  • Trcon Method
ILapackTTrcon Method Extreme Optimization Numerical Libraries for .NET Professional

Estimates the reciprocal of the condition number of a triangular matrix A, in either the 1-norm or the infinity-norm.

Namespace: Extreme.Mathematics.Generic.LinearAlgebra.Providers
Assembly: Extreme.Numerics.Version4x.Net40 (in Extreme.Numerics.Version4x.Net40.dll) Version: 4.2.11333.0 (5.0.12317.0)
Syntax

C#
VB
C++
F#
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void Trcon(
	MatrixNorm norm,
	MatrixTriangle storageTriangle,
	MatrixDiagonal diag,
	int n,
	T[] a,
	int aOffset,
	int lda,
	out T rcond,
	out int info
)
Sub Trcon ( 
	norm As MatrixNorm,
	storageTriangle As MatrixTriangle,
	diag As MatrixDiagonal,
	n As Integer,
	a As T(),
	aOffset As Integer,
	lda As Integer,
	<OutAttribute> ByRef rcond As T,
	<OutAttribute> ByRef info As Integer
)
void Trcon(
	MatrixNorm norm, 
	MatrixTriangle storageTriangle, 
	MatrixDiagonal diag, 
	int n, 
	array<T>^ a, 
	int aOffset, 
	int lda, 
	[OutAttribute] T% rcond, 
	[OutAttribute] int% info
)
abstract Trcon : 
        norm : MatrixNorm * 
        storageTriangle : MatrixTriangle * 
        diag : MatrixDiagonal * 
        n : int * 
        a : 'T[] * 
        aOffset : int * 
        lda : int * 
        rcond : 'T byref * 
        info : int byref -> unit 

Parameters

norm
Type: Extreme.MathematicsMatrixNorm
Copy
NORM is CHARACTER*1
Specifies whether the 1-norm condition number or the
infinity-norm condition number is required:
= '1' or 'O':  1-norm;
= 'I':         Infinity-norm.
storageTriangle
Type: Extreme.MathematicsMatrixTriangle
Copy
UPLO is CHARACTER*1
= 'U':  A is upper triangular;
= 'L':  A is lower triangular.
diag
Type: Extreme.MathematicsMatrixDiagonal
Copy
DIAG is CHARACTER*1
= 'N':  A is non-unit triangular;
= 'U':  A is unit triangular.
n
Type: SystemInt32
Copy
N is INTEGER
The order of the matrix A.  N >= 0.
a
Type: T
Copy
A is DOUBLE PRECISION array, dimension (LDA,N)
The triangular matrix A.  If UPLO = 'U', the leading N-by-N
upper triangular part of the array A contains the upper
triangular matrix, and the strictly lower triangular part of
A is not referenced.  If UPLO = 'L', the leading N-by-N lower
triangular part of the array A contains the lower triangular
matrix, and the strictly upper triangular part of A is not
referenced.  If DIAG = 'U', the diagonal elements of A are
also not referenced and are assumed to be 1.
aOffset
Type: SystemInt32
Offset into a of the first element of the matrix.
lda
Type: SystemInt32
Copy
LDA is INTEGER
The leading dimension of the array A.  LDA >= max(1,N).
rcond
Type: T
Copy
RCOND is DOUBLE PRECISION
The reciprocal of the condition number of the matrix A,
computed as RCOND = 1/(norm(A) * norm(inv(A))).
info
Type: SystemInt32
Copy
INFO is INTEGER
= 0:  successful exit
< 0:  if INFO = -i, the i-th argument had an illegal value
Remarks

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

Version Information

Numerical Libraries

Supported in: 5.x, 4.x
See Also

Reference

ILapackT Interface
Extreme.Mathematics.Generic.LinearAlgebra.Providers Namespace

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