Contents
cpttrs - solve a tridiagonal system of the form A * X = B
using the factorization A = U'*D*U or A = L*D*L' computed by
CPTTRF
SUBROUTINE CPTTRS(UPLO, N, NRHS, D, E, B, LDB, INFO)
CHARACTER * 1 UPLO
COMPLEX E(*), B(LDB,*)
INTEGER N, NRHS, LDB, INFO
REAL D(*)
SUBROUTINE CPTTRS_64(UPLO, N, NRHS, D, E, B, LDB, INFO)
CHARACTER * 1 UPLO
COMPLEX E(*), B(LDB,*)
INTEGER*8 N, NRHS, LDB, INFO
REAL D(*)
F95 INTERFACE
SUBROUTINE PTTRS(UPLO, [N], [NRHS], D, E, B, [LDB], [INFO])
CHARACTER(LEN=1) :: UPLO
COMPLEX, DIMENSION(:) :: E
COMPLEX, DIMENSION(:,:) :: B
INTEGER :: N, NRHS, LDB, INFO
REAL, DIMENSION(:) :: D
SUBROUTINE PTTRS_64(UPLO, [N], [NRHS], D, E, B, [LDB], [INFO])
CHARACTER(LEN=1) :: UPLO
COMPLEX, DIMENSION(:) :: E
COMPLEX, DIMENSION(:,:) :: B
INTEGER(8) :: N, NRHS, LDB, INFO
REAL, DIMENSION(:) :: D
C INTERFACE
#include <sunperf.h>
void cpttrs(char uplo, int n, int nrhs, float *d, complex
*e, complex *b, int ldb, int *info);
void cpttrs_64(char uplo, long n, long nrhs, float *d, com-
plex *e, complex *b, long ldb, long *info);
cpttrs solves a tridiagonal system of the form
A * X = B using the factorization A = U'*D*U or A =
L*D*L' computed by CPTTRF. D is a diagonal matrix specified
in the vector D, U (or L) is a unit bidiagonal matrix whose
superdiagonal (subdiagonal) is specified in the vector E,
and X and B are N by NRHS matrices.
UPLO (input)
Specifies the form of the factorization and
whether the vector E is the superdiagonal of the
upper bidiagonal factor U or the subdiagonal of
the lower bidiagonal factor L. = 'U': A =
U'*D*U, E is the superdiagonal of U
= 'L': A = L*D*L', E is the subdiagonal of L
N (input) The order of the tridiagonal matrix A. N >= 0.
NRHS (input)
The number of right hand sides, i.e., the number
of columns of the matrix B. NRHS >= 0.
D (input) The n diagonal elements of the diagonal matrix D
from the factorization A = U'*D*U or A = L*D*L'.
E (input) If UPLO = 'U', the (n-1) superdiagonal elements of
the unit bidiagonal factor U from the factoriza-
tion A = U'*D*U. If UPLO = 'L', the (n-1) subdi-
agonal elements of the unit bidiagonal factor L
from the factorization A = L*D*L'.
B (input/output)
On entry, the right hand side vectors B for the
system of linear equations. On exit, the solution
vectors, X.
LDB (input)
The leading dimension of the array B. LDB >=
max(1,N).
INFO (output)
= 0: successful exit
< 0: if INFO = -k, the k-th argument had an ille-
gal value