ctpsv
ctpsv - solve one of the systems of equations A*x = b, or A'*x = b, or conjg( A' )*x = b
SUBROUTINE CTPSV( UPLO, TRANSA, DIAG, N, A, Y, INCY)
CHARACTER * 1 UPLO, TRANSA, DIAG
COMPLEX A(*), Y(*)
INTEGER N, INCY
SUBROUTINE CTPSV_64( UPLO, TRANSA, DIAG, N, A, Y, INCY)
CHARACTER * 1 UPLO, TRANSA, DIAG
COMPLEX A(*), Y(*)
INTEGER*8 N, INCY
SUBROUTINE TPSV( UPLO, [TRANSA], DIAG, [N], A, Y, [INCY])
CHARACTER(LEN=1) :: UPLO, TRANSA, DIAG
COMPLEX, DIMENSION(:) :: A, Y
INTEGER :: N, INCY
SUBROUTINE TPSV_64( UPLO, [TRANSA], DIAG, [N], A, Y, [INCY])
CHARACTER(LEN=1) :: UPLO, TRANSA, DIAG
COMPLEX, DIMENSION(:) :: A, Y
INTEGER(8) :: N, INCY
#include <sunperf.h>
void ctpsv(char uplo, char transa, char diag, int n, complex *a, complex *y, int incy);
void ctpsv_64(char uplo, char transa, char diag, long n, complex *a, complex *y, long incy);
ctpsv solves one of the systems of equations
A*x = b, or A'*x = b, or conjg( A' )*x = b
where b and x are n element vectors and A is an n by n unit, or
non-unit, upper or lower triangular matrix, supplied in packed form.
No test for singularity or near-singularity is included in this
routine. Such tests must be performed before calling this routine.
-
* UPLO (input)
-
On entry, UPLO specifies whether the matrix is an upper or
lower triangular matrix as follows:
UPLO = 'U' or 'u' A is an upper triangular matrix.
UPLO = 'L' or 'l' A is a lower triangular matrix.
Unchanged on exit.
-
* TRANSA (input)
-
On entry, TRANSA specifies the equations to be solved as
follows:
TRANSA = 'N' or 'n' A*x = b.
TRANSA = 'T' or 't' A'*x = b.
TRANSA = 'C' or 'c' conjg( A' )*x = b.
Unchanged on exit.
-
* DIAG (input)
-
On entry, DIAG specifies whether or not A is unit
triangular as follows:
DIAG = 'U' or 'u' A is assumed to be unit triangular.
DIAG = 'N' or 'n' A is not assumed to be unit
triangular.
Unchanged on exit.
-
* N (input)
-
On entry, N specifies the order of the matrix A.
N >= 0.
Unchanged on exit.
-
* A (input)
-
( ( n*( n + 1 ) )/2 ).
Before entry with UPLO = 'U' or 'u', the array A must
contain the upper triangular matrix packed sequentially,
column by column, so that A( 1 ) contains a( 1, 1 ),
A( 2 ) and A( 3 ) contain a( 1, 2 ) and a( 2, 2 )
respectively, and so on.
Before entry with UPLO = 'L' or 'l', the array A must
contain the lower triangular matrix packed sequentially,
column by column, so that A( 1 ) contains a( 1, 1 ),
A( 2 ) and A( 3 ) contain a( 2, 1 ) and a( 3, 1 )
respectively, and so on.
Note that when DIAG = 'U' or 'u', the diagonal elements of
A are not referenced, but are assumed to be unity.
Unchanged on exit.
-
* Y (input/output)
-
( 1 + ( n - 1 )*abs( INCY ) ).
Before entry, the incremented array Y must contain the n
element right-hand side vector b. On exit, Y is overwritten
with the solution vector x.
-
* INCY (input)
-
On entry, INCY specifies the increment for the elements of
Y. INCY <> 0.
Unchanged on exit.