dstev man page on Scientific

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DSTEV(1)	      LAPACK driver routine (version 3.2)	      DSTEV(1)

NAME
       DSTEV  -	 computes  all	eigenvalues and, optionally, eigenvectors of a
       real symmetric tridiagonal matrix A

SYNOPSIS
       SUBROUTINE DSTEV( JOBZ, N, D, E, Z, LDZ, WORK, INFO )

	   CHARACTER	 JOBZ

	   INTEGER	 INFO, LDZ, N

	   DOUBLE	 PRECISION D( * ), E( * ), WORK( * ), Z( LDZ, * )

PURPOSE
       DSTEV computes all eigenvalues and, optionally, eigenvectors of a  real
       symmetric tridiagonal matrix A.

ARGUMENTS
       JOBZ    (input) CHARACTER*1
	       = 'N':  Compute eigenvalues only;
	       = 'V':  Compute eigenvalues and eigenvectors.

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

       D       (input/output) DOUBLE PRECISION array, dimension (N)
	       On  entry, the n diagonal elements of the tridiagonal matrix A.
	       On exit, if INFO = 0, the eigenvalues in ascending order.

       E       (input/output) DOUBLE PRECISION array, dimension (N-1)
	       On entry, the (n-1) subdiagonal	elements  of  the  tridiagonal
	       matrix  A, stored in elements 1 to N-1 of E.  On exit, the con‐
	       tents of E are destroyed.

       Z       (output) DOUBLE PRECISION array, dimension (LDZ, N)
	       If JOBZ = 'V', then if INFO = 0,	 Z  contains  the  orthonormal
	       eigenvectors of the matrix A, with the i-th column of Z holding
	       the eigenvector associated with D(i).  If JOBZ = 'N', then Z is
	       not referenced.

       LDZ     (input) INTEGER
	       The  leading dimension of the array Z.  LDZ >= 1, and if JOBZ =
	       'V', LDZ >= max(1,N).

       WORK    (workspace) DOUBLE PRECISION array, dimension (max(1,2*N-2))
	       If JOBZ = 'N', WORK is not referenced.

       INFO    (output) INTEGER
	       = 0:  successful exit
	       < 0:  if INFO = -i, the i-th argument had an illegal value
	       > 0:  if INFO = i, the algorithm failed	to  converge;  i  off-
	       diagonal elements of E did not converge to zero.

 LAPACK driver routine (version 3November 2008			      DSTEV(1)
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