org.netlib.lapack
Class SSBTRD

java.lang.Object
  org.netlib.lapack.SSBTRD

public class SSBTRD
extends java.lang.Object

SSBTRD is a simplified interface to the JLAPACK routine ssbtrd.
This interface converts Java-style 2D row-major arrays into
the 1D column-major linearized arrays expected by the lower
level JLAPACK routines.  Using this interface also allows you
to omit offset and leading dimension arguments.  However, because
of these conversions, these routines will be slower than the low
level ones.  Following is the description from the original Fortran
source.  Contact seymour@cs.utk.edu with any questions.

 *     ..
 *
 *  Purpose
 *  =======
 *
 *  SSBTRD reduces a real symmetric band matrix A to symmetric
 *  tridiagonal form T by an orthogonal similarity transformation:
 *  Q**T * A * Q = T.
 *
 *  Arguments
 *  =========
 *
 *  VECT    (input) CHARACTER*1
 *          = 'N':  do not form Q;
 *          = 'V':  form Q;
 *          = 'U':  update a matrix X, by forming X*Q.
 *
 *  UPLO    (input) CHARACTER*1
 *          = 'U':  Upper triangle of A is stored;
 *          = 'L':  Lower triangle of A is stored.
 *
 *  N       (input) INTEGER
 *          The order of the matrix A.  N >= 0.
 *
 *  KD      (input) INTEGER
 *          The number of superdiagonals of the matrix A if UPLO = 'U',
 *          or the number of subdiagonals if UPLO = 'L'.  KD >= 0.
 *
 *  AB      (input/output) REAL array, dimension (LDAB,N)
 *          On entry, the upper or lower triangle of the symmetric band
 *          matrix A, stored in the first KD+1 rows of the array.  The
 *          j-th column of A is stored in the j-th column of the array AB
 *          as follows:
 *          if UPLO = 'U', AB(kd+1+i-j,j) = A(i,j) for max(1,j-kd)<=i<=j;
 *          if UPLO = 'L', AB(1+i-j,j)    = A(i,j) for j<=i<=min(n,j+kd).
 *          On exit, the diagonal elements of AB are overwritten by the
 *          diagonal elements of the tridiagonal matrix T; if KD > 0, the
 *          elements on the first superdiagonal (if UPLO = 'U') or the
 *          first subdiagonal (if UPLO = 'L') are overwritten by the
 *          off-diagonal elements of T; the rest of AB is overwritten by

 *          values generated during the reduction.
 *
 *  LDAB    (input) INTEGER
 *          The leading dimension of the array AB.  LDAB >= KD+1.
 *
 *  D       (output) REAL array, dimension (N)
 *          The diagonal elements of the tridiagonal matrix T.
 *
 *  E       (output) REAL array, dimension (N-1)
 *          The off-diagonal elements of the tridiagonal matrix T:
 *          E(i) = T(i,i+1) if UPLO = 'U'; E(i) = T(i+1,i) if UPLO = 'L'.
 *
 *  Q       (input/output) REAL array, dimension (LDQ,N)
 *          On entry, if VECT = 'U', then Q must contain an N-by-N
 *          matrix X; if VECT = 'N' or 'V', then Q need not be set.
 *
 *          On exit:
 *          if VECT = 'V', Q contains the N-by-N orthogonal matrix Q;
 *          if VECT = 'U', Q contains the product X*Q;
 *          if VECT = 'N', the array Q is not referenced.
 *
 *  LDQ     (input) INTEGER
 *          The leading dimension of the array Q.
 *          LDQ >= 1, and LDQ >= N if VECT = 'V' or 'U'.
 *
 *  WORK    (workspace) REAL array, dimension (N)
 *
 *  INFO    (output) INTEGER
 *          = 0:  successful exit
 *          < 0:  if INFO = -i, the i-th argument had an illegal value
 *
 *  Further Details
 *  ===============
 *
 *  Modified by Linda Kaufman, Bell Labs.
 *
 *  =====================================================================
 *
 *     .. Parameters ..

Constructor Summary

SSBTRD()

Method Summary

static void

SSBTRD(java.lang.String vect, java.lang.String uplo, int n, int kd, float[][] ab, float[] d, float[] e, float[][] q, float[] work, intW info)

Methods inherited from class java.lang.Object

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

Constructor Detail

SSBTRD

public SSBTRD()

Method Detail

SSBTRD

public static void SSBTRD(java.lang.String vect,
                          java.lang.String uplo,
                          int n,
                          int kd,
                          float[][] ab,
                          float[] d,
                          float[] e,
                          float[][] q,
                          float[] work,
                          intW info)