org.netlib.lapack
Class DLASD3
java.lang.Object
org.netlib.lapack.DLASD3
public class DLASD3
 extends java.lang.Object
DLASD3 is a simplified interface to the JLAPACK routine dlasd3.
This interface converts Javastyle 2D rowmajor arrays into
the 1D columnmajor 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
* =======
*
* DLASD3 finds all the square roots of the roots of the secular
* equation, as defined by the values in D and Z. It makes the
* appropriate calls to DLASD4 and then updates the singular
* vectors by matrix multiplication.
*
* This code makes very mild assumptions about floating point
* arithmetic. It will work on machines with a guard digit in
* add/subtract, or on those binary machines without guard digits
* which subtract like the Cray XMP, Cray YMP, Cray C 90, or Cray 2.
* It could conceivably fail on hexadecimal or decimal machines
* without guard digits, but we know of none.
*
* DLASD3 is called from DLASD1.
*
* Arguments
* =========
*
* NL (input) INTEGER
* The row dimension of the upper block. NL >= 1.
*
* NR (input) INTEGER
* The row dimension of the lower block. NR >= 1.
*
* SQRE (input) INTEGER
* = 0: the lower block is an NRbyNR square matrix.
* = 1: the lower block is an NRby(NR+1) rectangular matrix.
*
* The bidiagonal matrix has N = NL + NR + 1 rows and
* M = N + SQRE >= N columns.
*
* K (input) INTEGER
* The size of the secular equation, 1 =< K = < N.
*
* D (output) DOUBLE PRECISION array, dimension(K)
* On exit the square roots of the roots of the secular equation,
* in ascending order.
*
* Q (workspace) DOUBLE PRECISION array,
* dimension at least (LDQ,K).
*
* LDQ (input) INTEGER
* The leading dimension of the array Q. LDQ >= K.
*
* DSIGMA (input) DOUBLE PRECISION array, dimension(K)
* The first K elements of this array contain the old roots
* of the deflated updating problem. These are the poles
* of the secular equation.
*
* U (input) DOUBLE PRECISION array, dimension (LDU, N)
* The last N  K columns of this matrix contain the deflated
* left singular vectors.
*
* LDU (input) INTEGER
* The leading dimension of the array U. LDU >= N.
*
* U2 (input) DOUBLE PRECISION array, dimension (LDU2, N)
* The first K columns of this matrix contain the nondeflated
* left singular vectors for the split problem.
*
* LDU2 (input) INTEGER
* The leading dimension of the array U2. LDU2 >= N.
*
* VT (input) DOUBLE PRECISION array, dimension (LDVT, M)
* The last M  K columns of VT' contain the deflated
* right singular vectors.
*
* LDVT (input) INTEGER
* The leading dimension of the array VT. LDVT >= N.
*
* VT2 (input) DOUBLE PRECISION array, dimension (LDVT2, N)
* The first K columns of VT2' contain the nondeflated
* right singular vectors for the split problem.
*
* LDVT2 (input) INTEGER
* The leading dimension of the array VT2. LDVT2 >= N.
*
* IDXC (input) INTEGER array, dimension ( N )
* The permutation used to arrange the columns of U (and rows of
* VT) into three groups: the first group contains nonzero
* entries only at and above (or before) NL +1; the second
* contains nonzero entries only at and below (or after) NL+2;
* and the third is dense. The first column of U and the row of
* VT are treated separately, however.
*
* The rows of the singular vectors found by DLASD4
* must be likewise permuted before the matrix multiplies can
* take place.
*
* CTOT (input) INTEGER array, dimension ( 4 )
* A count of the total number of the various types of columns
* in U (or rows in VT), as described in IDXC. The fourth column
* type is any column which has been deflated.
*
* Z (input) DOUBLE PRECISION array, dimension (K)
* The first K elements of this array contain the components
* of the deflationadjusted updating row vector.
*
* INFO (output) INTEGER
* = 0: successful exit.
* < 0: if INFO = i, the ith argument had an illegal value.
* > 0: if INFO = 1, an singular value did not converge
*
* Further Details
* ===============
*
* Based on contributions by
* Ming Gu and Huan Ren, Computer Science Division, University of
* California at Berkeley, USA
*
* =====================================================================
*
* .. Parameters ..
Method Summary 
static void 
DLASD3(int nl,
int nr,
int sqre,
int k,
double[] d,
double[][] q,
double[] dsigma,
double[][] u,
double[][] u2,
double[][] vt,
double[][] vt2,
int[] idxc,
int[] ctot,
double[] z,
intW info)

Methods inherited from class java.lang.Object 
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait 
DLASD3
public DLASD3()
DLASD3
public static void DLASD3(int nl,
int nr,
int sqre,
int k,
double[] d,
double[][] q,
double[] dsigma,
double[][] u,
double[][] u2,
double[][] vt,
double[][] vt2,
int[] idxc,
int[] ctot,
double[] z,
intW info)