org.netlib.lapack
Class Dpteqr

java.lang.Object
  org.netlib.lapack.Dpteqr

public class Dpteqr
extends java.lang.Object

Following is the description from the original
Fortran source.  For each array argument, the Java
version will include an integer offset parameter, so
the arguments may not match the description exactly.
Contact seymour@cs.utk.edu with any questions.


 *     ..
 *
 *  Purpose
 *  =======
 *
 *  DPTEQR computes all eigenvalues and, optionally, eigenvectors of a
 *  symmetric positive definite tridiagonal matrix by first factoring the
 *  matrix using DPTTRF, and then calling DBDSQR to compute the singular

 *  values of the bidiagonal factor.
 *
 *  This routine computes the eigenvalues of the positive definite
 *  tridiagonal matrix to high relative accuracy.  This means that if the
 *  eigenvalues range over many orders of magnitude in size, then the
 *  small eigenvalues and corresponding eigenvectors will be computed
 *  more accurately than, for example, with the standard QR method.
 *
 *  The eigenvectors of a full or band symmetric positive definite matrix
 *  can also be found if DSYTRD, DSPTRD, or DSBTRD has been used to
 *  reduce this matrix to tridiagonal form. (The reduction to tridiagonal
 *  form, however, may preclude the possibility of obtaining high
 *  relative accuracy in the small eigenvalues of the original matrix, if
 *  these eigenvalues range over many orders of magnitude.)
 *
 *  Arguments
 *  =========
 *
 *  COMPZ   (input) CHARACTER*1
 *          = 'N':  Compute eigenvalues only.
 *          = 'V':  Compute eigenvectors of original symmetric
 *                  matrix also.  Array Z contains the orthogonal
 *                  matrix used to reduce the original matrix to
 *                  tridiagonal form.
 *          = 'I':  Compute eigenvectors of tridiagonal matrix also.
 *
 *  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.
 *          On normal exit, D contains the eigenvalues, in descending
 *          order.
 *
 *  E       (input/output) DOUBLE PRECISION array, dimension (N-1)
 *          On entry, the (n-1) subdiagonal elements of the tridiagonal
 *          matrix.
 *          On exit, E has been destroyed.
 *
 *  Z       (input/output) DOUBLE PRECISION array, dimension (LDZ, N)
 *          On entry, if COMPZ = 'V', the orthogonal matrix used in the
 *          reduction to tridiagonal form.
 *          On exit, if COMPZ = 'V', the orthonormal eigenvectors of the

 *          original symmetric matrix;
 *          if COMPZ = 'I', the orthonormal eigenvectors of the
 *          tridiagonal matrix.
 *          If INFO > 0 on exit, Z contains the eigenvectors associated
 *          with only the stored eigenvalues.
 *          If  COMPZ = 'N', then Z is not referenced.
 *
 *  LDZ     (input) INTEGER
 *          The leading dimension of the array Z.  LDZ >= 1, and if
 *          COMPZ = 'V' or 'I', LDZ >= max(1,N).
 *
 *  WORK    (workspace) DOUBLE PRECISION array, dimension (4*N)
 *
 *  INFO    (output) INTEGER
 *          = 0:  successful exit.
 *          < 0:  if INFO = -i, the i-th argument had an illegal value.
 *          > 0:  if INFO = i, and i is:
 *                <= N  the Cholesky factorization of the matrix could
 *                      not be performed because the i-th principal minor
 *                      was not positive definite.
 *                > N   the SVD algorithm failed to converge;
 *                      if INFO = N+i, i off-diagonal elements of the
 *                      bidiagonal factor did not converge to zero.
 *
 *  =====================================================================
 *
 *     .. Parameters ..

Constructor Summary

Dpteqr()

Method Summary

static void

dpteqr(java.lang.String compz, int n, double[] d, int _d_offset, double[] e, int _e_offset, double[] z, int _z_offset, int ldz, double[] work, int _work_offset, intW info)

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

Dpteqr

public Dpteqr()

Method Detail

dpteqr

public static void dpteqr(java.lang.String compz,
                          int n,
                          double[] d,
                          int _d_offset,
                          double[] e,
                          int _e_offset,
                          double[] z,
                          int _z_offset,
                          int ldz,
                          double[] work,
                          int _work_offset,
                          intW info)