cptsv(l) [redhat man page]

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 matrices

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 bidiago-
	       nal factor L from the L*D*L**H factorization of A.  E can also be regarded as the superdiagonal of the  unit  bidiagonal  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 factoriza-
	       tion has not been completed unless i = N.

LAPACK version 3.0						   15 June 2000 							  CPTSV(l)

cptsv.f(3)							      LAPACK								cptsv.f(3)

NAME

       cptsv.f -

SYNOPSIS

   Functions/Subroutines
       subroutine cptsv (N, NRHS, D, E, B, LDB, INFO)
	   CPTSV

Function/Subroutine Documentation
   subroutine cptsv (integerN, integerNRHS, real, dimension( * )D, complex, dimension( * )E, complex, dimension( ldb, * )B, integerLDB,
       integerINFO)
       CPTSV

       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.

       Parameters:
	   N

		     N is INTEGER
		     The order of the matrix A.  N >= 0.

	   NRHS

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

	   D

		     D is 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

		     E is 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
		     bidiagonal factor U from the U**H*D*U factorization of A.

	   B

		     B is 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

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

	   INFO

		     INFO is 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.

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   November 2011

       Definition at line 116 of file cptsv.f.

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

Version 3.4.1							  Sun May 26 2013							cptsv.f(3)