NAME
zgesl - solve the linear system Ax = b for a general matrix
A, which has been LU- factored by xGECO or xGEFA, and vec-
tors b and x.
SYNOPSIS
SUBROUTINE DGESL (DA, LDA, N, IPIVOT, DB, JOB)
SUBROUTINE SGESL (SA, LDA, N, IPIVOT, SB, JOB)
SUBROUTINE ZGESL (ZA, LDA, N, IPIVOT, ZB, JOB)
SUBROUTINE CGESL (CA, LDA, N, IPIVOT, CB, JOB)
#include <sunperf.h>
void dgesl(double *da, int lda, int n, int *ipivot, double
*db, int job);
void sgesl(float *sa, int lda, int n, int *ipivot, float
*b, int job);
void zgesl(doublecomplex *za, int lda, int n, int *ipivot,
doublecomplex *zb, int job);
void cgesl(complex *ca, int lda, int n, int *ipivot, complex
*cb, int job);
ARGUMENTS
xA LU factorization of the matrix A, as computed by
xGECO or xGEFA.
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 Pivot vector as computed by xGECO or xGEFA.
xB On entry, the right-hand side vector b. On exit,
the solution vector x.
JOB Determines which operation the subroutine will
perform:
0 Solve the system Ax = b.
not 0 Solve the linear system AHx = b.
Note that ATx = AHx for real matrices.
SAMPLE PROGRAM
PROGRAM TEST
IMPLICIT NONE
C
INTEGER IAXEQB, LDA, LDB, N
PARAMETER (IAXEQB = 0)
PARAMETER (N = 3)
PARAMETER (LDA = N)
PARAMETER (LDB = LDA)
C
DOUBLE PRECISION A(LDA,N), B(LDB)
INTEGER ICOL, INFO, IPIVOT(N), IROW, JOB
C
EXTERNAL DGEFA, DGESL
C
C Initialize the array A to store the matrix A shown below.
C Initialize the array B to store the vector b shown below.
C
C 1 2 2 15
C A = 2 1 2 b = 15
C 2 2 1 15
C
DATA A / 1.0D0, 3*2.0D0, 1.0D0, 3*2.0D0, 1.0D0 /
DATA B / 3*1.5D1 /
C
PRINT 1000
PRINT 1010, ((A(IROW,ICOL), ICOL = 1, N), IROW = 1, N)
PRINT 1020
PRINT 1030, B
CALL DGEFA (A, LDA, N, IPIVOT, INFO)
IF (INFO .EQ. 0) THEN
JOB = IAXEQB
CALL DGESL (A, LDA, N, IPIVOT, B, JOB)
PRINT 1040
PRINT 1030, B
ELSE
PRINT 1050, INFO
END IF
C
1000 FORMAT (1X, 'A:')
1010 FORMAT (3(3X, F4.1))
1020 FORMAT (/1X, 'b:')
1030 FORMAT (1X, 2X, F4.1)
1040 FORMAT (/1X, 'A**(-1)*b')
1050 FORMAT (1X, 'A appears singular at ', I2)
C
END
SAMPLE OUTPUT
A:
1.0 2.0 2.0
2.0 1.0 2.0
2.0 2.0 1.0
b:
15.0
15.0
15.0
A**(-1)*b
3.0
3.0
3.0
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