Chapter 1. Theory
Chapter 2. Computational
details
REFERENCES
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The singular vector computation is called from CUN3 in CNT0 or from CUN2
in CUN1, depending on whether the Hessian of the objective function is used
or not. General routines related to the singular vector computation can
be found in the directory `sinvect'. The technical routines needed for the
Lanczos or Jacobi-Davidson algorithm are contained in the directory `lanczos'
of IFSAUX.
Details of the set-up routines are given in Table 2.1.
The defining equation (1.2) for the singular vectors takes
the form
The routine OPM is the identity in case a simple energy norm is used at
initial time, or it is equal to the Hessian of the 3D-Var objective function.
In the routine OPK, the propagators of the tangent and adjoint model are
evaluated. Depending on the setting of the constants in NAMLCZ, additional
operators may be active, such as SPTRLCZTL when LSPTRLC0=TRUE. It truncates
the state vector in spectral space by setting all harmonic coefficients
with total wavenumber smaller than NWTRMIN0, or larger than NWTRMAX0, to
zero at initial time.
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