NAME
cgefa - compute the LU factorization of a general matrix A.
It is typical to follow a call to xGEFA with a call to xGESL
to solve Ax = b or to xGEDI to compute the determinant of A.
SYNOPSIS
SUBROUTINE DGEFA (DA, LDA, N, IPIVOT, INFO)
SUBROUTINE SGEFA (SA, LDA, N, IPIVOT, INFO)
SUBROUTINE ZGEFA (ZA, LDA, N, IPIVOT, INFO)
SUBROUTINE CGEFA (CA, LDA, N, IPIVOT, INFO)
#include <sunperf.h>
void dgefa(double *da, int lda, int n, int *ipivot, int
*info) ;
void sgefa(float *sa, int lda, int n, int *ipivot, int
*info) ;
void zgefa(doublecomplex *za, int lda, int n, int *ipivot,
int *info) ;
void cgefa(complex *ca, int lda, int n, int *ipivot, int
*info) ;
ARGUMENTS
xA On entry, the matrix A. On exit, an LU factoriza-
tion of A.
LDA Leading dimension of the array A as specified in a
dimension or type statement. LDA >= max(1,N).
N Order of the matrix A. N >= 0.
IPIVOT On exit, a vector of pivot indices.
INFO On exit:
INFO = 0 Subroutine completed normally.
INFO * 0 Returns a value k if U(k,k) = 0 to indi-
cate that xGESL will divide by zero if called.
SAMPLE PROGRAM
PROGRAM TEST
IMPLICIT NONE
C
INTEGER LDA, N
PARAMETER (N = 3)
PARAMETER (LDA = N)
C
DOUBLE PRECISION A(LDA,N)
INTEGER ICOL, INFO, IPIVOT(N), IROW
C
EXTERNAL DGEFA
C
C Initialize the array A to store the matrix A shown below.
C
C 100 2 3
C A = 100 202 6
C 100 202 306
C
DATA A / 1.0D2, 1.0D2, 1.0D2, 2.0D0, 2.02D2, 2.02D2,
$ 3.0D0, 6.0D0, 3.06D2 /
PRINT 1000
PRINT 1010, ((A(IROW,ICOL), ICOL = 1, N), IROW = 1, N)
CALL DGEFA (A, LDA, N, IPIVOT, INFO)
IF (INFO .EQ. 0) THEN
PRINT 1020
PRINT 1030, (A(1,ICOL), ICOL = 1, N)
PRINT 1040, (A(2,ICOL), ICOL = 1, N)
PRINT 1050, (A(3,ICOL), ICOL = 1, N)
ELSE
PRINT 1060, INFO
END IF
C
1000 FORMAT (1X, 'A:')
1010 FORMAT (3(3X, F5.1))
1020 FORMAT (/8X, 'Multipliers', 19X, 'Upper')
1030 FORMAT (3X, ' 1.0', 17X, 3(2X, F5.1))
1040 FORMAT (3X, F5.1, 2X, ' 1.0', 17X, 2(2X, F5.1))
1050 FORMAT (1X, 2(2X, F5.1), 2X, ' 1.0', 17X, 2X, F5.1)
1060 FORMAT (1X, 'A appears singular at ', I2)
C
END
SAMPLE OUTPUT
A:
100.0 2.0 3.0
100.0 202.0 6.0
100.0 202.0 306.0
Multipliers Upper
1.0 100.0 2.0 3.0
1.0 1.0 200.0 3.0
1.0 1.0 1.0 300.0
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