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dtrsv(3P)		    Sun Performance Library		     dtrsv(3P)

NAME
       dtrsv - solve one of the systems of equations A*x = b, or A'*x = b

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

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

       SUBROUTINE DTRSV_64(UPLO, TRANSA, DIAG, N, A, LDA, Y, INCY)

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

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

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

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

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

   C INTERFACE
       #include <sunperf.h>

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

       void dtrsv_64(char uplo, char transa, char diag,	 long  n,  double  *a,
		 long lda, double *y, long incy);

PURPOSE
       dtrsv  solves  one  of  the  systems of equations A*x = b, or 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'   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			     dtrsv(3P)
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