Puts a new dimension on divide by zero... ;o)

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slasd0

SLASD0(l)								 )								 SLASD0(l)

NAME

       SLASD0  -  a divide and conquer approach, SLASD0 computes the singular value decomposition (SVD) of a real upper bidiagonal N-by-M matrix B
       with diagonal D and offdiagonal E, where M = N + SQRE

SYNOPSIS

       SUBROUTINE SLASD0( N, SQRE, D, E, U, LDU, VT, LDVT, SMLSIZ, IWORK, WORK, INFO )

	   INTEGER	  INFO, LDU, LDVT, N, SMLSIZ, SQRE

	   INTEGER	  IWORK( * )

	   REAL 	  D( * ), E( * ), U( LDU, * ), VT( LDVT, * ), WORK( * )

PURPOSE

       Using a divide and conquer approach, SLASD0 computes the singular value decomposition (SVD) of a real upper bidiagonal N-by-M matrix B with
       diagonal  D and offdiagonal E, where M = N + SQRE. The algorithm computes orthogonal matrices U and VT such that B = U * S * VT. The singu-
       lar values S are overwritten on D.

       A related subroutine, SLASDA, computes only the singular values, and optionally, the singular vectors in compact form.

ARGUMENTS

       N      (input) INTEGER
	      On entry, the row dimension of the upper bidiagonal matrix.  This is also the dimension of the main diagonal array D.

       SQRE   (input) INTEGER
	      Specifies the column dimension of the bidiagonal matrix.	= 0: The bidiagonal matrix has column dimension M = N;
	      = 1: The bidiagonal matrix has column dimension M = N+1;

       D      (input/output) REAL array, dimension (N)
	      On entry D contains the main diagonal of the bidiagonal matrix.  On exit D, if INFO = 0, contains its singular values.

       E      (input) REAL array, dimension (M-1)
	      Contains the subdiagonal entries of the bidiagonal matrix.  On exit, E has been destroyed.

       U      (output) REAL array, dimension at least (LDQ, N)
	      On exit, U contains the left singular vectors.

       LDU    (input) INTEGER
	      On entry, leading dimension of U.

       VT     (output) REAL array, dimension at least (LDVT, M)
	      On exit, VT' contains the right singular vectors.

       LDVT   (input) INTEGER
	      On entry, leading dimension of VT.

	      SMLSIZ (input) INTEGER On entry, maximum size of the subproblems at the bottom of the computation tree.

       IWORK  INTEGER work array.
	      Dimension must be at least (8 * N)

       WORK   REAL work array.
	      Dimension must be at least (3 * M**2 + 2 * M)

       INFO   (output) INTEGER
	      = 0:  successful exit.
	      < 0:  if INFO = -i, the i-th 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

LAPACK version 3.0						   15 June 2000 							 SLASD0(l)

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