org.netlib.lapack
Class DGESDD
java.lang.Object
org.netlib.lapack.DGESDD
public class DGESDD
 extends java.lang.Object
DGESDD is a simplified interface to the JLAPACK routine dgesdd.
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
* =======
*
* DGESDD computes the singular value decomposition (SVD) of a real
* MbyN matrix A, optionally computing the left and right singular
* vectors. If singular vectors are desired, it uses a
* divideandconquer algorithm.
*
* The SVD is written
*
* A = U * SIGMA * transpose(V)
*
* where SIGMA is an MbyN matrix which is zero except for its
* min(m,n) diagonal elements, U is an MbyM orthogonal matrix, and
* V is an NbyN orthogonal matrix. The diagonal elements of SIGMA
* are the singular values of A; they are real and nonnegative, and
* are returned in descending order. The first min(m,n) columns of
* U and V are the left and right singular vectors of A.
*
* Note that the routine returns VT = V**T, not V.
*
* The divide and conquer algorithm 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 C90, or
* Cray2. It could conceivably fail on hexadecimal or decimal machines
* without guard digits, but we know of none.
*
* Arguments
* =========
*
* JOBZ (input) CHARACTER*1
* Specifies options for computing all or part of the matrix U:
* = 'A': all M columns of U and all N rows of V**T are
* returned in the arrays U and VT;
* = 'S': the first min(M,N) columns of U and the first
* min(M,N) rows of V**T are returned in the arrays U
* and VT;
* = 'O': If M >= N, the first N columns of U are overwritten
* on the array A and all rows of V**T are returned in
* the array VT;
* otherwise, all columns of U are returned in the
* array U and the first M rows of V**T are overwritten
* in the array VT;
* = 'N': no columns of U or rows of V**T are computed.
*
* M (input) INTEGER
* The number of rows of the input matrix A. M >= 0.
*
* N (input) INTEGER
* The number of columns of the input matrix A. N >= 0.
*
* A (input/output) DOUBLE PRECISION array, dimension (LDA,N)
* On entry, the MbyN matrix A.
* On exit,
* if JOBZ = 'O', A is overwritten with the first N columns
* of U (the left singular vectors, stored
* columnwise) if M >= N;
* A is overwritten with the first M rows
* of V**T (the right singular vectors, stored
* rowwise) otherwise.
* if JOBZ .ne. 'O', the contents of A are destroyed.
*
* LDA (input) INTEGER
* The leading dimension of the array A. LDA >= max(1,M).
*
* S (output) DOUBLE PRECISION array, dimension (min(M,N))
* The singular values of A, sorted so that S(i) >= S(i+1).
*
* U (output) DOUBLE PRECISION array, dimension (LDU,UCOL)
* UCOL = M if JOBZ = 'A' or JOBZ = 'O' and M < N;
* UCOL = min(M,N) if JOBZ = 'S'.
* If JOBZ = 'A' or JOBZ = 'O' and M < N, U contains the MbyM
* orthogonal matrix U;
* if JOBZ = 'S', U contains the first min(M,N) columns of U
* (the left singular vectors, stored columnwise);
* if JOBZ = 'O' and M >= N, or JOBZ = 'N', U is not referenced.
*
* LDU (input) INTEGER
* The leading dimension of the array U. LDU >= 1; if
* JOBZ = 'S' or 'A' or JOBZ = 'O' and M < N, LDU >= M.
*
* VT (output) DOUBLE PRECISION array, dimension (LDVT,N)
* If JOBZ = 'A' or JOBZ = 'O' and M >= N, VT contains the
* NbyN orthogonal matrix V**T;
* if JOBZ = 'S', VT contains the first min(M,N) rows of
* V**T (the right singular vectors, stored rowwise);
* if JOBZ = 'O' and M < N, or JOBZ = 'N', VT is not referenced.
*
* LDVT (input) INTEGER
* The leading dimension of the array VT. LDVT >= 1; if
* JOBZ = 'A' or JOBZ = 'O' and M >= N, LDVT >= N;
* if JOBZ = 'S', LDVT >= min(M,N).
*
* WORK (workspace/output) DOUBLE PRECISION array, dimension (LWORK)
* On exit, if INFO = 0, WORK(1) returns the optimal LWORK;
*
* LWORK (input) INTEGER
* The dimension of the array WORK. LWORK >= 1.
* If JOBZ = 'N',
* LWORK >= 3*min(M,N) + max(max(M,N),6*min(M,N)).
* If JOBZ = 'O',
* LWORK >= 3*min(M,N)*min(M,N) +
* max(max(M,N),5*min(M,N)*min(M,N)+4*min(M,N)).
* If JOBZ = 'S' or 'A'
* LWORK >= 3*min(M,N)*min(M,N) +
* max(max(M,N),4*min(M,N)*min(M,N)+4*min(M,N)).
* For good performance, LWORK should generally be larger.
* If LWORK < 0 but other input arguments are legal, WORK(1)
* returns the optimal LWORK.
*
* IWORK (workspace) INTEGER array, dimension (8*min(M,N))
*
* INFO (output) INTEGER
* = 0: successful exit.
* < 0: if INFO = i, the ith argument had an illegal value.
* > 0: DBDSDC did not converge, updating process failed.
*
* 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 
DGESDD(java.lang.String jobz,
int m,
int n,
double[][] a,
double[] s,
double[][] u,
double[][] vt,
double[] work,
int lwork,
int[] iwork,
intW info)

Methods inherited from class java.lang.Object 
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait 
DGESDD
public DGESDD()
DGESDD
public static void DGESDD(java.lang.String jobz,
int m,
int n,
double[][] a,
double[] s,
double[][] u,
double[][] vt,
double[] work,
int lwork,
int[] iwork,
intW info)