DLASQ4(3F)							    DLASQ4(3F)

NAME    [Toc]    [Back]

     DLASQ4 - DLASQ4 estimates TAU, the	smallest eigenvalue of a matrix

SYNOPSIS    [Toc]    [Back]

     SUBROUTINE	DLASQ4(	N, Q, E, TAU, SUP )

	 INTEGER	N

	 DOUBLE		PRECISION SUP, TAU

	 DOUBLE		PRECISION E( * ), Q( * )

PURPOSE    [Toc]    [Back]

	DLASQ4 estimates TAU, the smallest eigenvalue of a matrix. This
	routine	improves the input value of SUP	which is an upper bound
	for the	smallest eigenvalue for	this matrix .

ARGUMENTS    [Toc]    [Back]

     N	     (input) INTEGER
	     On	entry, N specifies the number of rows and columns in the
	     matrix. N must be at least	0.

     Q	     (input) DOUBLE PRECISION array, dimension (N)
	     Q array

     E	     (input) DOUBLE PRECISION array, dimension (N)
	     E array

     TAU     (output) DOUBLE PRECISION
	     Estimate of the shift

     SUP     (input/output) DOUBLE PRECISION
	     Upper bound for the smallest singular value
DLASQ4(3F)							    DLASQ4(3F)

NAME    [Toc]    [Back]

     DLASQ4 - DLASQ4 estimates TAU, the	smallest eigenvalue of a matrix

SYNOPSIS    [Toc]    [Back]

     SUBROUTINE	DLASQ4(	N, Q, E, TAU, SUP )

	 INTEGER	N

	 DOUBLE		PRECISION SUP, TAU

	 DOUBLE		PRECISION E( * ), Q( * )

PURPOSE    [Toc]    [Back]

	DLASQ4 estimates TAU, the smallest eigenvalue of a matrix. This
	routine	improves the input value of SUP	which is an upper bound
	for the	smallest eigenvalue for	this matrix .

ARGUMENTS    [Toc]    [Back]

     N	     (input) INTEGER
	     On	entry, N specifies the number of rows and columns in the
	     matrix. N must be at least	0.

     Q	     (input) DOUBLE PRECISION array, dimension (N)
	     Q array

     E	     (input) DOUBLE PRECISION array, dimension (N)
	     E array

     TAU     (output) DOUBLE PRECISION
	     Estimate of the shift

     SUP     (input/output) DOUBLE PRECISION
	     Upper bound for the smallest singular value


									PPPPaaaaggggeeee 1111