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 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);
Oracle Solaris Studio Performance Library ctpsv(3P) NAME ctpsv - 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); PURPOSE 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 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. 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. 7 Nov 2015 ctpsv(3P)