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RedHat 9 (Linux i386) - man page for zgtsv (redhat section l)

ZGTSV(l)					)					 ZGTSV(l)

NAME
       ZGTSV - solve the equation  A*X = B,

SYNOPSIS
       SUBROUTINE ZGTSV( N, NRHS, DL, D, DU, B, LDB, INFO )

	   INTEGER	 INFO, LDB, N, NRHS

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

PURPOSE
       ZGTSV  solves  the  equation A*X = B, where A is an N-by-N tridiagonal matrix, by Gaussian
       elimination with partial pivoting.

       Note that the equation  A'*X = B  may be solved by interchanging the order  of  the  argu-
       ments DU and DL.

ARGUMENTS
       N       (input) INTEGER
	       The order of the matrix A.  N >= 0.

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

       DL      (input/output) COMPLEX*16 array, dimension (N-1)
	       On entry, DL must contain the (n-1) subdiagonal elements of A.	On  exit,  DL  is
	       overwritten  by the (n-2) elements of the second superdiagonal of the upper trian-
	       gular matrix U from the LU factorization of A, in DL(1), ..., DL(n-2).

       D       (input/output) COMPLEX*16 array, dimension (N)
	       On entry, D must contain the diagonal elements of A.  On exit, D is overwritten by
	       the n diagonal elements of U.

       DU      (input/output) COMPLEX*16 array, dimension (N-1)
	       On  entry,  DU must contain the (n-1) superdiagonal elements of A.  On exit, DU is
	       overwritten by the (n-1) elements of the first superdiagonal of U.

       B       (input/output) COMPLEX*16 array, dimension (LDB,NRHS)
	       On entry, the N-by-NRHS right hand side matrix B.  On exit, if INFO = 0, the N-by-
	       NRHS solution matrix X.

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

       INFO    (output) INTEGER
	       = 0:  successful exit
	       < 0:  if INFO = -i, the i-th argument had an illegal value
	       > 0:  if INFO = i, U(i,i) is exactly zero, and the solution has not been computed.
	       The factorization has not been completed unless i = N.

LAPACK version 3.0			   15 June 2000 				 ZGTSV(l)


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