slaed5(3) [centos man page]

slaed5.f(3)							      LAPACK							       slaed5.f(3)

NAME

       slaed5.f -

SYNOPSIS

   Functions/Subroutines
       subroutine slaed5 (I, D, Z, DELTA, RHO, DLAM)
	   SLAED5 used by sstedc. Solves the 2-by-2 secular equation.

Function/Subroutine Documentation
   subroutine slaed5 (integerI, real, dimension( 2 )D, real, dimension( 2 )Z, real, dimension( 2 )DELTA, realRHO, realDLAM)
       SLAED5 used by sstedc. Solves the 2-by-2 secular equation.

       Purpose:

	    This subroutine computes the I-th eigenvalue of a symmetric rank-one
	    modification of a 2-by-2 diagonal matrix

		       diag( D )  +  RHO * Z * transpose(Z) .

	    The diagonal elements in the array D are assumed to satisfy

		       D(i) < D(j)  for  i < j .

	    We also assume RHO > 0 and that the Euclidean norm of the vector
	    Z is one.

       Parameters:
	   I

		     I is INTEGER
		    The index of the eigenvalue to be computed.  I = 1 or I = 2.

	   D

		     D is REAL array, dimension (2)
		    The original eigenvalues.  We assume D(1) < D(2).

	   Z

		     Z is REAL array, dimension (2)
		    The components of the updating vector.

	   DELTA

		     DELTA is REAL array, dimension (2)
		    The vector DELTA contains the information necessary
		    to construct the eigenvectors.

	   RHO

		     RHO is REAL
		    The scalar in the symmetric updating formula.

	   DLAM

		     DLAM is REAL
		    The computed lambda_I, the I-th updated eigenvalue.

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   September 2012

       Contributors:
	   Ren-Cang Li, Computer Science Division, University of California at Berkeley, USA

       Definition at line 109 of file slaed5.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2							  Tue Sep 25 2012						       slaed5.f(3)

dlaed5.f(3)							      LAPACK							       dlaed5.f(3)

NAME

       dlaed5.f -

SYNOPSIS

   Functions/Subroutines
       subroutine dlaed5 (I, D, Z, DELTA, RHO, DLAM)
	   DLAED5 used by sstedc. Solves the 2-by-2 secular equation.

Function/Subroutine Documentation
   subroutine dlaed5 (integerI, double precision, dimension( 2 )D, double precision, dimension( 2 )Z, double precision, dimension( 2 )DELTA,
       double precisionRHO, double precisionDLAM)
       DLAED5 used by sstedc. Solves the 2-by-2 secular equation.

       Purpose:

	    This subroutine computes the I-th eigenvalue of a symmetric rank-one
	    modification of a 2-by-2 diagonal matrix

		       diag( D )  +  RHO * Z * transpose(Z) .

	    The diagonal elements in the array D are assumed to satisfy

		       D(i) < D(j)  for  i < j .

	    We also assume RHO > 0 and that the Euclidean norm of the vector
	    Z is one.

       Parameters:
	   I

		     I is INTEGER
		    The index of the eigenvalue to be computed.  I = 1 or I = 2.

	   D

		     D is DOUBLE PRECISION array, dimension (2)
		    The original eigenvalues.  We assume D(1) < D(2).

	   Z

		     Z is DOUBLE PRECISION array, dimension (2)
		    The components of the updating vector.

	   DELTA

		     DELTA is DOUBLE PRECISION array, dimension (2)
		    The vector DELTA contains the information necessary
		    to construct the eigenvectors.

	   RHO

		     RHO is DOUBLE PRECISION
		    The scalar in the symmetric updating formula.

	   DLAM

		     DLAM is DOUBLE PRECISION
		    The computed lambda_I, the I-th updated eigenvalue.

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   September 2012

       Contributors:
	   Ren-Cang Li, Computer Science Division, University of California at Berkeley, USA

       Definition at line 109 of file dlaed5.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2							  Tue Sep 25 2012						       dlaed5.f(3)