Purpose
=======
DTRCON estimates the reciprocal of the condition number of a
triangular matrix A, in either the 1-norm or the infinity-norm.
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)) ).
Namespace: DotNumerics.LinearAlgebra.CSLapackAssembly: DWSIM.MathOps.DotNumerics (in DWSIM.MathOps.DotNumerics.dll) Version: 1.0.0.0 (1.0.0.0)
Syntax public void Run(
string NORM,
string UPLO,
string DIAG,
int N,
double[] A,
int offset_a,
int LDA,
ref double RCOND,
ref double[] WORK,
int offset_work,
ref int[] IWORK,
int offset_iwork,
ref int INFO
)
Public Sub Run (
NORM As String,
UPLO As String,
DIAG As String,
N As Integer,
A As Double(),
offset_a As Integer,
LDA As Integer,
ByRef RCOND As Double,
ByRef WORK As Double(),
offset_work As Integer,
ByRef IWORK As Integer(),
offset_iwork As Integer,
ByRef INFO As Integer
)
Request Example
View SourceParameters
- NORM String
-
(input) 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.
- UPLO String
-
(input) CHARACTER*1
= 'U': A is upper triangular;
= 'L': A is lower triangular.
- DIAG String
-
(input) CHARACTER*1
= 'N': A is non-unit triangular;
= 'U': A is unit triangular.
- N Int32
-
(input) INTEGER
The order of the matrix A. N .GE. 0.
- A Double
-
(input) 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.
- offset_a Int32
-
- LDA Int32
-
(input) INTEGER
The leading dimension of the array A. LDA .GE. max(1,N).
- RCOND Double
-
(output) DOUBLE PRECISION
The reciprocal of the condition number of the matrix A,
computed as RCOND = 1/(norm(A) * norm(inv(A))).
- WORK Double
-
(workspace) DOUBLE PRECISION array, dimension (3*N)
- offset_work Int32
-
- IWORK Int32
-
(workspace) INTEGER array, dimension (N)
- offset_iwork Int32
-
- INFO Int32
-
(output) INTEGER
= 0: successful exit
.LT. 0: if INFO = -i, the i-th argument had an illegal value
See Also