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

SGTSV(l)					)					 SGTSV(l)

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

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

	   INTEGER	 INFO, LDB, N, NRHS

	   REAL 	 B( LDB, * ), D( * ), DL( * ), DU( * )

PURPOSE
       SGTSV  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) REAL array, dimension (N-1)
	       On entry, DL must contain the (n-1) sub-diagonal elements of A.

	       On exit, DL is overwritten by the (n-2) elements of the second  super-diagonal  of
	       the  upper  triangular  matrix  U  from	the LU factorization of A, in DL(1), ...,
	       DL(n-2).

       D       (input/output) REAL 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) REAL array, dimension (N-1)
	       On entry, DU must contain the (n-1) super-diagonal elements of A.

	       On exit, DU is overwritten by the (n-1) elements of the first super-diagonal of U.

       B       (input/output) REAL array, dimension (LDB,NRHS)
	       On entry, the N by NRHS matrix of 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 				 SGTSV(l)


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