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| slarrk.f(3) | LAPACK | slarrk.f(3) | 
NAME¶
slarrk.f -SYNOPSIS¶
Functions/Subroutines¶
subroutine slarrk (N, IW, GL, GU, D, E2, PIVMIN, RELTOL, W, WERR, INFO)
Function/Subroutine Documentation¶
subroutine slarrk (integerN, integerIW, realGL, realGU, real, dimension( * )D, real, dimension( * )E2, realPIVMIN, realRELTOL, realW, realWERR, integerINFO)¶
SLARRK computes one eigenvalue of a symmetric tridiagonal matrix T to suitable accuracy. Purpose:SLARRK computes one eigenvalue of a symmetric tridiagonal matrix T to suitable accuracy. This is an auxiliary code to be called from SSTEMR. To avoid overflow, the matrix must be scaled so that its largest element is no greater than overflow**(1/2) * underflow**(1/4) in absolute value, and for greatest accuracy, it should not be much smaller than that. See W. Kahan "Accurate Eigenvalues of a Symmetric Tridiagonal Matrix", Report CS41, Computer Science Dept., Stanford University, July 21, 1966.
N
Internal Parameters: 
          N is INTEGER
          The order of the tridiagonal matrix T.  N >= 0.
IW
          IW is INTEGER
          The index of the eigenvalues to be returned.
GL
GL is REALGU
          GU is REAL
          An upper and a lower bound on the eigenvalue.
D
          D is REAL array, dimension (N)
          The n diagonal elements of the tridiagonal matrix T.
E2
          E2 is REAL array, dimension (N-1)
          The (n-1) squared off-diagonal elements of the tridiagonal matrix T.
PIVMIN
          PIVMIN is REAL
          The minimum pivot allowed in the Sturm sequence for T.
RELTOL
          RELTOL is REAL
          The minimum relative width of an interval.  When an interval
          is narrower than RELTOL times the larger (in
          magnitude) endpoint, then it is considered to be
          sufficiently small, i.e., converged.  Note: this should
          always be at least radix*machine epsilon.
W
W is REALWERR
          WERR is REAL
          The error bound on the corresponding eigenvalue approximation
          in W.
INFO
          INFO is INTEGER
          = 0:       Eigenvalue converged
          = -1:      Eigenvalue did NOT converge
  FUDGE   REAL            , default = 2
          A "fudge factor" to widen the Gershgorin intervals.
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
September 2012
Definition at line 145 of file slarrk.f.
Author¶
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