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slaed6.f(3) LAPACK slaed6.f(3)NAMEslaed6.f-SYNOPSISFunctions/Subroutines subroutine slaed6 (KNITER, ORGATI, RHO, D, Z, FINIT, TAU, INFO) SLAED6 used by sstedc. Computes one Newton step in solution of the secular equation.Function/Subroutine Documentation subroutine slaed6 (integerKNITER, logicalORGATI, realRHO, real, dimension( 3 )D, real, dimension( 3 )Z, realFINIT, realTAU, integerINFO) SLAED6 used by sstedc. Computes one Newton step in solution of the secular equation. Purpose: SLAED6 computes the positive or negative root (closest to the origin) of z(1) z(2) z(3) f(x) = rho ++---------+----------d(1)-x d(2)-x d(3)-x It is assumed that if ORGATI = .true. the root is between d(2) and d(3); otherwise it is between d(1) and d(2) This routine will be called by SLAED4 when necessary. In most cases, the root sought is the smallest in magnitude, though it might not be in some extremely rare situations. Parameters: KNITER KNITER is INTEGER Refer to SLAED4 for its significance. ORGATI ORGATI is LOGICAL If ORGATI is true, the needed root is between d(2) and d(3); otherwise it is between d(1) and d(2). See SLAED4 for further details. RHO RHO is REAL Refer to the equation f(x) above. D D is REAL array, dimension (3) D satisfies d(1) < d(2) < d(3). Z Z is REAL array, dimension (3) Each of the elements in z must be positive. FINIT FINIT is REAL The value of f at 0. It is more accurate than the one evaluated inside this routine (if someone wants to do so). TAU TAU is REAL The root of the equation f(x). INFO INFO is INTEGER = 0: successful exit > 0: if INFO = 1, failure to converge Author: Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Date: September 2012 Further Details: 10/02/03: This version has a few statements commented out for thread safety (machine parameters are computed on each entry). SJH. 05/10/06: Modified from a new version of Ren-Cang Li, use Gragg-Thornton-Warner cubic convergent scheme for better stability. Contributors: Ren-Cang Li, Computer Science Division, University of California at Berkeley, USA Definition at line 141 of file slaed6.f.---------AuthorGenerated automatically by Doxygen for LAPACK from the source code.Version 3.4.2Tue Sep 25 2012 slaed6.f(3)

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