Unix/Linux Go Back    

CentOS 7.0 - man page for slaed4 (centos section 3)

Linux & Unix Commands - Search Man Pages
Man Page or Keyword Search:   man
Select Man Page Set:       apropos Keyword Search (sections above)

slaed4.f(3)				      LAPACK				      slaed4.f(3)

       slaed4.f -

       subroutine slaed4 (N, I, D, Z, DELTA, RHO, DLAM, INFO)
	   SLAED4 used by sstedc. Finds a single root of the secular equation.

Function/Subroutine Documentation
   subroutine slaed4 (integerN, integerI, real, dimension( * )D, real, dimension( * )Z, real,
       dimension( * )DELTA, realRHO, realDLAM, integerINFO)
       SLAED4 used by sstedc. Finds a single root of the secular equation.


	    This subroutine computes the I-th updated eigenvalue of a symmetric
	    rank-one modification to a diagonal matrix whose elements are
	    given in the array d, and that

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

	    and that RHO > 0.  This is arranged by the calling routine, and is
	    no loss in generality.  The rank-one modified system is thus

		       diag( D )  +  RHO * Z * Z_transpose.

	    where we assume the Euclidean norm of Z is 1.

	    The method consists of approximating the rational functions in the
	    secular equation by simpler interpolating rational functions.


		     N is INTEGER
		    The length of all arrays.


		     I is INTEGER
		    The index of the eigenvalue to be computed.  1 <= I <= N.


		     D is REAL array, dimension (N)
		    The original eigenvalues.  It is assumed that they are in
		    order, D(I) < D(J)	for I < J.


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


		     DELTA is REAL array, dimension (N)
		    If N .GT. 2, DELTA contains (D(j) - lambda_I) in its  j-th
		    component.	If N = 1, then DELTA(1) = 1. If N = 2, see SLAED5
		    for detail. The vector DELTA contains the information necessary
		    to construct the eigenvectors by SLAED3 and SLAED9.


		     RHO is REAL
		    The scalar in the symmetric updating formula.


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


		     INFO is INTEGER
		    = 0:  successful exit
		    > 0:  if INFO = 1, the updating process failed.

       Internal Parameters:

	     Logical variable ORGATI (origin-at-i?) is used for distinguishing
	     whether D(i) or D(i+1) is treated as the origin.

		       ORGATI = .true.	  origin at i
		       ORGATI = .false.   origin at i+1

	      Logical variable SWTCH3 (switch-for-3-poles?) is for noting
	      if we are working with THREE poles!

	      MAXIT is the maximum number of iterations allowed for each

	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

	   September 2012

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

       Definition at line 146 of file slaed4.f.

       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2				 Tue Sep 25 2012			      slaed4.f(3)
Unix & Linux Commands & Man Pages : ©2000 - 2018 Unix and Linux Forums

All times are GMT -4. The time now is 02:29 PM.