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ztpsv(3) [centos man page]

ztpsv.f(3)							      LAPACK								ztpsv.f(3)

NAME

       ztpsv.f -

SYNOPSIS

   Functions/Subroutines
       subroutine ztpsv (UPLO, TRANS, DIAG, N, AP, X, INCX)
	   ZTPSV

Function/Subroutine Documentation
   subroutine ztpsv (characterUPLO, characterTRANS, characterDIAG, integerN, complex*16, dimension(*)AP, complex*16, dimension(*)X, integerINCX)
       ZTPSV Purpose:

	    ZTPSV  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, supplied in packed form.

	    No test for singularity or near-singularity is included in this
	    routine. Such tests must be performed before calling this routine.

       Parameters:
	   UPLO

		     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.

	   TRANS

		     TRANS is CHARACTER*1
		      On entry, TRANS specifies the equations to be solved as
		      follows:

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

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

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

	   DIAG

		     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
					     triangular.

	   N

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

	   AP

		     AP is COMPLEX*16 array of DIMENSION at least
		      ( ( n*( n + 1 ) )/2 ).
		      Before entry with  UPLO = 'U' or 'u', the array AP must
		      contain the upper triangular matrix packed sequentially,
		      column by column, so that AP( 1 ) contains a( 1, 1 ),
		      AP( 2 ) and AP( 3 ) contain a( 1, 2 ) and a( 2, 2 )
		      respectively, and so on.
		      Before entry with UPLO = 'L' or 'l', the array AP must
		      contain the lower triangular matrix packed sequentially,
		      column by column, so that AP( 1 ) contains a( 1, 1 ),
		      AP( 2 ) and AP( 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.

	   X

		     X is COMPLEX*16 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

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

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   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 145 of file ztpsv.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

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

Check Out this Related Man Page

ZTPSV(3)							   BLAS routine 							  ZTPSV(3)

NAME

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

SYNOPSIS

       SUBROUTINE ZTPSV ( UPLO, TRANS, DIAG, N, AP, X, INCX )

	   INTEGER	INCX, N

	   CHARACTER*1	DIAG, TRANS, UPLO

	   COMPLEX*16	AP( * ), X( * )

PURPOSE

       ZTPSV  solves one of the systems of equations

       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 routine. Such tests must be performed before calling this routine.

PARAMETERS

       UPLO   - 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.

	      Unchanged on exit.

       TRANS  - CHARACTER*1.
	      On entry, TRANS specifies the equations to be solved as follows:

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

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

	      TRANS = 'C' or 'c'   conjg( A' )*x = b.

	      Unchanged on exit.

       DIAG   - 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 triangular.

	      Unchanged on exit.

       N      - INTEGER.
	      On entry, N specifies the order of the matrix A.	N must be at least zero.  Unchanged on exit.

       AP     - COMPLEX*16	 array of DIMENSION at least
	      (  (  n*( n + 1 ) )/2 ).	Before entry with  UPLO = 'U' or 'u', the array AP must contain the upper triangular matrix packed sequen-
	      tially, column by column, so that AP( 1 ) contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 1, 2 ) and a( 2, 2 ) respectively,  and
	      so  on.	Before	entry with UPLO = 'L' or 'l', the array AP must contain the lower triangular matrix packed sequentially, column by
	      column, so that AP( 1 ) contains a( 1, 1 ), AP( 2 ) and AP( 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.

       X      - COMPLEX*16	 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   - INTEGER.
	      On entry, INCX specifies the increment for the elements of X. INCX must not be zero.  Unchanged on exit.

	      Level 2 Blas routine.

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

BLAS routine							  16 October 1992							  ZTPSV(3)
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