zgtts2(l) [redhat man page]

ZGTTS2(l)								 )								 ZGTTS2(l)

NAME

       ZGTTS2 - solve one of the systems of equations A * X = B, A**T * X = B, or A**H * X = B,

SYNOPSIS

       SUBROUTINE ZGTTS2( ITRANS, N, NRHS, DL, D, DU, DU2, IPIV, B, LDB )

	   INTEGER	  ITRANS, LDB, N, NRHS

	   INTEGER	  IPIV( * )

	   COMPLEX*16	  B( LDB, * ), D( * ), DL( * ), DU( * ), DU2( * )

PURPOSE

       ZGTTS2 solves one of the systems of equations A * X = B, A**T * X = B, or A**H * X = B, with a tridiagonal matrix A using the LU factoriza-
       tion computed by ZGTTRF.

ARGUMENTS

       ITRANS  (input) INTEGER
	       Specifies the form of the system of equations.  = 0:  A * X = B	   (No transpose)
	       = 1:  A**T * X = B  (Transpose)
	       = 2:  A**H * X = B  (Conjugate transpose)

       N       (input) INTEGER
	       The order of the matrix A.

       NRHS    (input) INTEGER
	       The number of right hand sides, i.e., the number of columns of the matrix B.  NRHS >= 0.

       DL      (input) COMPLEX*16 array, dimension (N-1)
	       The (n-1) multipliers that define the matrix L from the LU factorization of A.

       D       (input) COMPLEX*16 array, dimension (N)
	       The n diagonal elements of the upper triangular matrix U from the LU factorization of A.

       DU      (input) COMPLEX*16 array, dimension (N-1)
	       The (n-1) elements of the first super-diagonal of U.

       DU2     (input) COMPLEX*16 array, dimension (N-2)
	       The (n-2) elements of the second super-diagonal of U.

       IPIV    (input) INTEGER array, dimension (N)
	       The pivot indices; for 1 <= i <= n, row i of the matrix was interchanged with row IPIV(i).  IPIV(i) will always be either i or i+1;
	       IPIV(i) = i indicates a row interchange was not required.

       B       (input/output) COMPLEX*16 array, dimension (LDB,NRHS)
	       On entry, the matrix of right hand side vectors B.  On exit, B is overwritten by the solution vectors X.

       LDB     (input) INTEGER
	       The leading dimension of the array B.  LDB >= max(1,N).

LAPACK version 3.0						   15 June 2000 							 ZGTTS2(l)

zgtts2.f(3)							      LAPACK							       zgtts2.f(3)

NAME

       zgtts2.f -

SYNOPSIS

   Functions/Subroutines
       subroutine zgtts2 (ITRANS, N, NRHS, DL, D, DU, DU2, IPIV, B, LDB)
	   ZGTTS2 solves a system of linear equations with a tridiagonal matrix using the LU factorization computed by sgttrf.

Function/Subroutine Documentation
   subroutine zgtts2 (integerITRANS, integerN, integerNRHS, complex*16, dimension( * )DL, complex*16, dimension( * )D, complex*16, dimension( *
       )DU, complex*16, dimension( * )DU2, integer, dimension( * )IPIV, complex*16, dimension( ldb, * )B, integerLDB)
       ZGTTS2 solves a system of linear equations with a tridiagonal matrix using the LU factorization computed by sgttrf.

       Purpose:

	    ZGTTS2 solves one of the systems of equations
	       A * X = B,  A**T * X = B,  or  A**H * X = B,
	    with a tridiagonal matrix A using the LU factorization computed
	    by ZGTTRF.

       Parameters:
	   ITRANS

		     ITRANS is INTEGER
		     Specifies the form of the system of equations.
		     = 0:  A * X = B	 (No transpose)
		     = 1:  A**T * X = B  (Transpose)
		     = 2:  A**H * X = B  (Conjugate transpose)

	   N

		     N is INTEGER
		     The order of the matrix A.

	   NRHS

		     NRHS is INTEGER
		     The number of right hand sides, i.e., the number of columns
		     of the matrix B.  NRHS >= 0.

	   DL

		     DL is COMPLEX*16 array, dimension (N-1)
		     The (n-1) multipliers that define the matrix L from the
		     LU factorization of A.

	   D

		     D is COMPLEX*16 array, dimension (N)
		     The n diagonal elements of the upper triangular matrix U from
		     the LU factorization of A.

	   DU

		     DU is COMPLEX*16 array, dimension (N-1)
		     The (n-1) elements of the first super-diagonal of U.

	   DU2

		     DU2 is COMPLEX*16 array, dimension (N-2)
		     The (n-2) elements of the second super-diagonal of U.

	   IPIV

		     IPIV is INTEGER array, dimension (N)
		     The pivot indices; for 1 <= i <= n, row i of the matrix was
		     interchanged with row IPIV(i).  IPIV(i) will always be either
		     i or i+1; IPIV(i) = i indicates a row interchange was not
		     required.

	   B

		     B is COMPLEX*16 array, dimension (LDB,NRHS)
		     On entry, the matrix of right hand side vectors B.
		     On exit, B is overwritten by the solution vectors X.

	   LDB

		     LDB is INTEGER
		     The leading dimension of the array B.  LDB >= max(1,N).

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   September 2012

       Definition at line 129 of file zgtts2.f.

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

Version 3.4.2							  Tue Sep 25 2012						       zgtts2.f(3)