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trsm_i(3PI)	       Sun Interval Performance Library		   trsm_i(3PI)

NAME
       trsm_i - Interval triangular solve.

DESCRIPTION
       The routine TRSM_I bounds one of the matrix equations:
       B = ALPHA * A_inverse * B,
       B = ALPHA * A_inverse_transposed * B,
       B = ALPHA * B * A_inverse,
       B = ALPHA * B * A_inverse_transposed.
       ALPHA is an interval, A is a unit, or non-unit, upper or lower trianguā€
       lar interval matrix, and B is a general interval matrix.	 This  routine
       returns immediately if M or N is equal to zero.

SYNOPSIS
       SUBROUTINE TRSM_I( A, B [, SIDE] [, UPLO] [, TRANSA] [, DIAG] [, ALPHA] )
       INTERVAL, INTENT(IN)    :: B(:,:)
       INTERVAL, INTENT(INOUT) :: A(:,:)
       TYPE(blas_side_type),  INTENT(IN), OPTIONAL :: SIDE
       TYPE(blas_uplo_type),  INTENT(IN), OPTIONAL :: UPLO
       TYPE(blas_trans_type), INTENT(IN), OPTIONAL :: TRANSA
       TYPE(blas_diag_type),  INTENT(IN), OPTIONAL :: DIAG
       INTERVAL, INTENT(IN), OPTIONAL :: ALPHA
	 where
       B has shape (M,N).
       If SIDE	= blas_left_side (default): A has shape (M,M),
       if SIDE /= blas_left_side	  : A has shape (N,N).

ARGUMENTS
       B (input)
		      On entry, B is array of DIMENSION (M,N)
		      Unchanged on exit.
       A (input/output)
		      On entry, if SIDE = blas_left_side:
		      A is array of DIMENSION (M,M),
		      if SIDE /= blas_left_side:
		      A is array of DIMENSION (N,N).
		      On exit, if SIDE = blas_left_side:
		      B = ALPHA * A_inverse * B or
		      B = ALPHA * A_inverse_transposed * B
		      If SIDE /= blas_left_side:
		      B = ALPHA * B * A_inverse
		      B = ALPHA * B * A_inverse_transposed
       ALPHA (input)
		      On  entry, ALPHA specifies the scalar ALPHA.
		      Default value is ALPHA = [1,1].
		      Unchanged on exit.
       SIDE(input)
		      Scalar element. On entry, SIDE should be equal to
		      blas_side_type value, i.e. SIDE should take one
		      of the two values:
		      blas_left_side or blas_right_side.
		      Default value: blas_left_side
		      Unchanged on exit.
       UPLO(input)
		      Scalar element.
		      Specifies if the matrix operand is an upper or
		      lower tringular part of the matrix.
		      Possible values:
		      UPLO = blas_upper (default)
		      UPLO = blas_lower
		      Unchanged on exit.
       TRANSA (input)
		      Scalar element.
		      Specifies the matrix A transpose.
		      Possible values:
		      TRANSA = blas_no_trans (default)
		      TRANSA = blas_trans
		      Unchanged on exit.
       DIAG (input)
		      Scalar element.
		      Specifies whether or not the matrix operand
		      has unit diagonal entries.
		      Possible values:
		      DIAG = blas_non_unit_diag (default)
		      DIAG = blas_unit_diag
		      Unchanged on exit.

ERRORS
       blas_error_alloc
		 B or A is unallocated array

       blas_error_shape
		 B or A has unappropriate shape

				  6 Mar 2009			   trsm_i(3PI)
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