ctpsv(3P) Sun Performance Library ctpsv(3P)NAMEctpsv - solve one of the systems of equations A*x = b, or A'*x = b,
or conjg( A' )*x = b
SYNOPSIS
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
F95 INTERFACE
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
C INTERFACE
#include <sunperf.h>
void ctpsv(char uplo, char transa, char diag, int n, complex *a, com‐
plex *y, int incy);
void ctpsv_64(char uplo, char transa, char diag, long n, complex *a,
complex *y, long incy);
PURPOSEctpsv 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 rou‐
tine. Such tests must be performed before calling this routine.
ARGUMENTS
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 fol‐
lows:
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.
TRANSA is defaulted to 'N' for F95 INTERFACE.
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 ) con‐
tains 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.
6 Mar 2009 ctpsv(3P)
