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ctrsv(3P)		    Sun Performance Library		     ctrsv(3P)

NAME
       ctrsv  -	 solve one of the systems of equations	 A*x = b, or A'*x = b,
       or conjg( A' )*x = b

SYNOPSIS
       SUBROUTINE CTRSV(UPLO, TRANSA, DIAG, N, A, LDA, Y, INCY)

       CHARACTER * 1 UPLO, TRANSA, DIAG
       COMPLEX A(LDA,*), Y(*)
       INTEGER N, LDA, INCY

       SUBROUTINE CTRSV_64(UPLO, TRANSA, DIAG, N, A, LDA, Y, INCY)

       CHARACTER * 1 UPLO, TRANSA, DIAG
       COMPLEX A(LDA,*), Y(*)
       INTEGER*8 N, LDA, INCY

   F95 INTERFACE
       SUBROUTINE TRSV(UPLO, [TRANSA], DIAG, [N], A, [LDA], Y, [INCY])

       CHARACTER(LEN=1) :: UPLO, TRANSA, DIAG
       COMPLEX, DIMENSION(:) :: Y
       COMPLEX, DIMENSION(:,:) :: A
       INTEGER :: N, LDA, INCY

       SUBROUTINE TRSV_64(UPLO, [TRANSA], DIAG, [N], A, [LDA], Y, [INCY])

       CHARACTER(LEN=1) :: UPLO, TRANSA, DIAG
       COMPLEX, DIMENSION(:) :: Y
       COMPLEX, DIMENSION(:,:) :: A
       INTEGER(8) :: N, LDA, INCY

   C INTERFACE
       #include <sunperf.h>

       void ctrsv(char uplo, char transa, char diag, int n,  complex  *a,  int
		 lda, complex *y, int incy);

       void  ctrsv_64(char  uplo,  char transa, char diag, long n, complex *a,
		 long lda, complex *y, long incy);

PURPOSE
       ctrsv 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.

       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)
		 Before	 entry	with   UPLO  =	'U' or 'u', the leading n by n
		 upper triangular part of the array A must contain  the	 upper
		 triangular matrix and the strictly lower triangular part of A
		 is not referenced.  Before entry with UPLO = 'L' or 'l',  the
		 leading n by n lower triangular part of the array A must con‐
		 tain the lower triangular matrix and the strictly upper  tri‐
		 angular  part of A is not referenced.	Note that when	DIAG =
		 'U' or 'u', the diagonal elements of  A  are  not  referenced
		 either, but are assumed to be unity.  Unchanged on exit.

       LDA (input)
		 On  entry, LDA specifies the first dimension of A as declared
		 in the calling (sub) program. LDA >= max( 1, n ).   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			     ctrsv(3P)
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