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SLASQ2(3F)							    SLASQ2(3F)

NAME
     SLASQ2 - SLASQ2 computes the singular values of a real N-by-N unreduced
     bidiagonal matrix with squared diagonal elements in Q and	squared off-
     diagonal elements in E

SYNOPSIS
     SUBROUTINE SLASQ2( M, Q, E, QQ, EE, EPS, TOL2, SMALL2, SUP, KEND, INFO )

	 INTEGER	INFO, KEND, M

	 REAL		EPS, SMALL2, SUP, TOL2

	 REAL		E( * ), EE( * ), Q( * ), QQ( * )

PURPOSE
	SLASQ2 computes the singular values of a real N-by-N unreduced
	bidiagonal matrix with squared diagonal elements in Q and
	squared off-diagonal elements in E. The singular values are
	computed to relative accuracy TOL, barring over/underflow or
	denormalization.

ARGUMENTS
     M	     (input) INTEGER
	     The number of rows and columns in the matrix. M >= 0.

     Q	     (output) REAL array, dimension (M)
	     On normal exit, contains the squared singular values.

     E	     (workspace) REAL array, dimension (M)

     QQ	     (input/output) REAL array, dimension (M)
	     On entry, QQ contains the squared diagonal elements of the
	     bidiagonal matrix whose SVD is desired.  On exit, QQ is
	     overwritten.

     EE	     (input/output) REAL array, dimension (M)
	     On entry, EE(1:N-1) contains the squared off-diagonal elements of
	     the bidiagonal matrix whose SVD is desired.  On exit, EE is
	     overwritten.

     EPS     (input) REAL
	     Machine epsilon.

     TOL2    (input) REAL
	     Desired relative accuracy of computed eigenvalues as defined in
	     SLASQ1.

     SMALL2  (input) REAL
	     A threshold value as defined in SLASQ1.

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SLASQ2(3F)							    SLASQ2(3F)

     SUP     (input/output) REAL
	     Upper bound for the smallest eigenvalue.

     KEND    (input/output) INTEGER
	     Index where minimum d occurs.

     INFO    (output) INTEGER
	     = 0:  successful exit
	     < 0:  if INFO = -i, the i-th argument had an illegal value
	     > 0:  if INFO = i, the algorithm did not converge;	 i specifies
	     how many superdiagonals did not converge.

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