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

CPTSV(l)					)					 CPTSV(l)

NAME
       CPTSV  -  compute the solution to a complex system of linear equations A*X = B, where A is
       an N-by-N Hermitian positive definite tridiagonal matrix, and X and B are N-by-NRHS matri-
       ces

SYNOPSIS
       SUBROUTINE CPTSV( N, NRHS, D, E, B, LDB, INFO )

	   INTEGER	 INFO, LDB, N, NRHS

	   REAL 	 D( * )

	   COMPLEX	 B( LDB, * ), E( * )

PURPOSE
       CPTSV computes the solution to a complex system of linear equations A*X = B, where A is an
       N-by-N Hermitian positive definite tridiagonal matrix, and X and B are N-by-NRHS matrices.
       A is factored as A = L*D*L**H, and the factored form of A is then used to solve the system
       of equations.

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.

       D       (input/output) REAL array, dimension (N)
	       On  entry,  the	n  diagonal elements of the tridiagonal matrix A.  On exit, the n
	       diagonal elements of the diagonal matrix D from the factorization A = L*D*L**H.

       E       (input/output) COMPLEX array, dimension (N-1)
	       On entry, the (n-1) subdiagonal elements of the tridiagonal matrix  A.	On  exit,
	       the  (n-1)  subdiagonal elements of the unit bidiagonal factor L from the L*D*L**H
	       factorization of A.  E can also be regarded as the superdiagonal of the unit bidi-
	       agonal factor U from the U**H*D*U factorization of A.

       B       (input/output) COMPLEX 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, the leading minor of order i is not positive definite, and  the
	       solution has not been computed.	The factorization has not been completed unless i
	       = N.

LAPACK version 3.0			   15 June 2000 				 CPTSV(l)


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