CTRSV man page on Oracle

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ctrsv.f(3)			    LAPACK			    ctrsv.f(3)

       ctrsv.f -

       subroutine ctrsv (UPLO, TRANS, DIAG, N, A, LDA, X, INCX)

Function/Subroutine Documentation
   subroutine ctrsv (characterUPLO, characterTRANS, characterDIAG, integerN,
       complex, dimension(lda,*)A, integerLDA, complex, dimension(*)X,
       CTRSV Purpose:

	    CTRSV  solves one of the systems of equations

	       A*x = b,	  or   A**T*x = b,   or	  A**H*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
	    routine. Such tests must be performed before calling this routine.


		     UPLO is CHARACTER*1
		      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.


		      On entry, TRANS specifies the equations to be solved as

			 TRANS = 'N' or 'n'   A*x = b.

			 TRANS = 'T' or 't'   A**T*x = b.

			 TRANS = 'C' or 'c'   A**H*x = b.


		     DIAG is CHARACTER*1
		      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


		     N is INTEGER
		      On entry, N specifies the order of the matrix A.
		      N must be at least zero.


		     A is COMPLEX array of DIMENSION ( LDA, n ).
		      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 contain the lower
		      triangular matrix and the strictly upper triangular 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.


		     LDA is INTEGER
		      On entry, LDA specifies the first dimension of A as declared
		      in the calling (sub) program. LDA must be at least
		      max( 1, n ).


		     X is COMPLEX array of dimension at least
		      ( 1 + ( n - 1 )*abs( INCX ) ).
		      Before entry, the incremented array X must contain the n
		      element right-hand side vector b. On exit, X is overwritten
		      with the solution vector x.


		     INCX is INTEGER
		      On entry, INCX specifies the increment for the elements of
		      X. INCX must not be zero.

	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

	   November 2011

       Further Details:

	     Level 2 Blas routine.

	     -- Written on 22-October-1986.
		Jack Dongarra, Argonne National Lab.
		Jeremy Du Croz, Nag Central Office.
		Sven Hammarling, Nag Central Office.
		Richard Hanson, Sandia National Labs.

       Definition at line 150 of file ctrsv.f.

       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2			Tue Sep 25 2012			    ctrsv.f(3)

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