Contents
zgbtrs - solve a system of linear equations A * X = B, A**T
* X = B, or A**H * X = B with a general band matrix A using
the LU factorization computed by CGBTRF
SUBROUTINE ZGBTRS(TRANSA, N, NSUB, NSUPER, NRHS, A, LDA, IPIVOT, B,
LDB, INFO)
CHARACTER * 1 TRANSA
DOUBLE COMPLEX A(LDA,*), B(LDB,*)
INTEGER N, NSUB, NSUPER, NRHS, LDA, LDB, INFO
INTEGER IPIVOT(*)
SUBROUTINE ZGBTRS_64(TRANSA, N, NSUB, NSUPER, NRHS, A, LDA, IPIVOT,
B, LDB, INFO)
CHARACTER * 1 TRANSA
DOUBLE COMPLEX A(LDA,*), B(LDB,*)
INTEGER*8 N, NSUB, NSUPER, NRHS, LDA, LDB, INFO
INTEGER*8 IPIVOT(*)
F95 INTERFACE
SUBROUTINE GBTRS([TRANSA], [N], NSUB, NSUPER, [NRHS], A, [LDA],
IPIVOT, B, [LDB], [INFO])
CHARACTER(LEN=1) :: TRANSA
COMPLEX(8), DIMENSION(:,:) :: A, B
INTEGER :: N, NSUB, NSUPER, NRHS, LDA, LDB, INFO
INTEGER, DIMENSION(:) :: IPIVOT
SUBROUTINE GBTRS_64([TRANSA], [N], NSUB, NSUPER, [NRHS], A, [LDA],
IPIVOT, B, [LDB], [INFO])
CHARACTER(LEN=1) :: TRANSA
COMPLEX(8), DIMENSION(:,:) :: A, B
INTEGER(8) :: N, NSUB, NSUPER, NRHS, LDA, LDB, INFO
INTEGER(8), DIMENSION(:) :: IPIVOT
C INTERFACE
#include <sunperf.h>
void zgbtrs(char transa, int n, int nsub, int nsuper, int
nrhs, doublecomplex *a, int lda, int *ipivot,
doublecomplex *b, int ldb, int *info);
void zgbtrs_64(char transa, long n, long nsub, long nsuper,
long nrhs, doublecomplex *a, long lda, long
*ipivot, doublecomplex *b, long ldb, long *info);
zgbtrs solves a system of linear equations
A * X = B, A**T * X = B, or A**H * X = B with a gen-
eral band matrix A using the LU factorization computed by
CGBTRF.
TRANSA (input)
Specifies the form of the system of equations. =
'N': A * X = B (No transpose)
= 'T': A**T * X = B (Transpose)
= 'C': A**H * X = B (Conjugate transpose)
TRANSA is defaulted to 'N' for F95 INTERFACE.
N (input) The order of the matrix A. N >= 0.
NSUB (input)
The number of subdiagonals within the band of A.
NSUB >= 0.
NSUPER (input)
The number of superdiagonals within the band of A.
NSUPER >= 0.
NRHS (input)
The number of right hand sides, i.e., the number
of columns of the matrix B. NRHS >= 0.
A (input) Details of the LU factorization of the band matrix
A, as computed by CGBTRF. U is stored as an upper
triangular band matrix with NSUB+NSUPER superdiag-
onals in rows 1 to NSUB+NSUPER+1, and the multi-
pliers used during the factorization are stored in
rows NSUB+NSUPER+2 to 2*NSUB+NSUPER+1.
LDA (input)
The leading dimension of the array A. LDA >=
2*NSUB+NSUPER+1.
IPIVOT (input)
The pivot indices; for 1 <= i <= N, row i of the
matrix was interchanged with row IPIVOT(i).
B (input/output)
On entry, the right hand side matrix B. On exit,
the solution matrix X.
LDB (input)
The leading dimension of the array B. LDB >=
max(1,N).
INFO (output)
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an ille-
gal value