SLASQ4(3F)							    SLASQ4(3F)

NAME    [Toc]    [Back]

     SLASQ4 - SLASQ4 estimates TAU, the	smallest eigenvalue of a matrix

SYNOPSIS    [Toc]    [Back]

     SUBROUTINE	SLASQ4(	N, Q, E, TAU, SUP )

	 INTEGER	N

	 REAL		SUP, TAU

	 REAL		E( * ),	Q( * )

PURPOSE    [Toc]    [Back]

	SLASQ4 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) REAL array, dimension (N)
	     Q array

     E	     (input) REAL array, dimension (N)
	     E array

     TAU     (output) REAL
	     Estimate of the shift

     SUP     (input/output) REAL
	     Upper bound for the smallest singular value
SLASQ4(3F)							    SLASQ4(3F)

NAME    [Toc]    [Back]

     SLASQ4 - SLASQ4 estimates TAU, the	smallest eigenvalue of a matrix

SYNOPSIS    [Toc]    [Back]

     SUBROUTINE	SLASQ4(	N, Q, E, TAU, SUP )

	 INTEGER	N

	 REAL		SUP, TAU

	 REAL		E( * ),	Q( * )

PURPOSE    [Toc]    [Back]

	SLASQ4 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) REAL array, dimension (N)
	     Q array

     E	     (input) REAL array, dimension (N)
	     E array

     TAU     (output) REAL
	     Estimate of the shift

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


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