sgtcon
sgtcon - estimate the reciprocal of the condition number of a real tridiagonal matrix A using the LU factorization as computed by SGTTRF
SUBROUTINE SGTCON( NORM, N, LOW, DIAG, UP1, UP2, IPIVOT, ANORM,
* RCOND, WORK, IWORK2, INFO)
CHARACTER * 1 NORM
INTEGER N, INFO
INTEGER IPIVOT(*), IWORK2(*)
REAL ANORM, RCOND
REAL LOW(*), DIAG(*), UP1(*), UP2(*), WORK(*)
SUBROUTINE SGTCON_64( NORM, N, LOW, DIAG, UP1, UP2, IPIVOT, ANORM,
* RCOND, WORK, IWORK2, INFO)
CHARACTER * 1 NORM
INTEGER*8 N, INFO
INTEGER*8 IPIVOT(*), IWORK2(*)
REAL ANORM, RCOND
REAL LOW(*), DIAG(*), UP1(*), UP2(*), WORK(*)
SUBROUTINE GTCON( NORM, [N], LOW, DIAG, UP1, UP2, IPIVOT, ANORM,
* RCOND, [WORK], [IWORK2], [INFO])
CHARACTER(LEN=1) :: NORM
INTEGER :: N, INFO
INTEGER, DIMENSION(:) :: IPIVOT, IWORK2
REAL :: ANORM, RCOND
REAL, DIMENSION(:) :: LOW, DIAG, UP1, UP2, WORK
SUBROUTINE GTCON_64( NORM, [N], LOW, DIAG, UP1, UP2, IPIVOT, ANORM,
* RCOND, [WORK], [IWORK2], [INFO])
CHARACTER(LEN=1) :: NORM
INTEGER(8) :: N, INFO
INTEGER(8), DIMENSION(:) :: IPIVOT, IWORK2
REAL :: ANORM, RCOND
REAL, DIMENSION(:) :: LOW, DIAG, UP1, UP2, WORK
#include <sunperf.h>
void sgtcon(char norm, int n, float *low, float *diag, float *up1, float *up2, int *ipivot, float anorm, float *rcond, int *info);
void sgtcon_64(char norm, long n, float *low, float *diag, float *up1, float *up2, long *ipivot, float anorm, float *rcond, long *info);
sgtcon estimates the reciprocal of the condition number of a real
tridiagonal matrix A using the LU factorization as computed by
SGTTRF.
An estimate is obtained for norm(inv(A)), and the reciprocal of the
condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).
-
* NORM (input)
-
Specifies whether the 1-norm condition number or the
infinity-norm condition number is required:
-
* N (input)
-
The order of the matrix A. N >= 0.
-
* LOW (input)
-
The (n-1) multipliers that define the matrix L from the
LU factorization of A as computed by SGTTRF.
-
* DIAG (input)
-
The n diagonal elements of the upper triangular matrix U from
the LU factorization of A.
-
* UP1 (input)
-
The (n-1) elements of the first superdiagonal of U.
-
* UP2 (input)
-
The (n-2) elements of the second superdiagonal of U.
-
* IPIVOT (input)
-
The pivot indices; for 1 <= i <= n, row i of the matrix was
interchanged with row IPIVOT(i). IPIVOT(i) will always be either
i or i+1; IPIVOT(i) = i indicates a row interchange was not
required.
-
* ANORM (input)
-
If NORM = '1' or 'O', the 1-norm of the original matrix A.
If NORM = 'I', the infinity-norm of the original matrix A.
-
* RCOND (output)
-
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.
-
* WORK (workspace)
-
dimension(2*N)
-
* IWORK2 (workspace)
-
-
* INFO (output)
-