petscmaster 20200531
SNESLINESEARCHNLEQERR
Errororiented affinecovariant globalised Newton algorithm of Deuflhard (2011). This linesearch is intended for Newtontype methods which are affine covariant. Affine covariance
means that Newton's method will give the same iterations for F(x) = 0 and AF(x) = 0 for a nonsingular
matrix A. This is a fundamental property; the philosophy of this linesearch is that globalisations
of Newton's method should carefully preserve it.
For a discussion of the theory behind this algorithm, see
@book{deuflhard2011,
title={Newton Methods for Nonlinear Problems},
author={Deuflhard, P.},
volume={35},
year={2011},
publisher={SpringerVerlag},
address={Berlin, Heidelberg}
}
Pseudocode is given on page 148.
Options Database Keys
 snes_linesearch_damping<1.0>   initial step length

 snes_linesearch_minlambda<1e   12>  minimum step length allowed

Contributed by Patrick Farrell <patrick.farrell@maths.ox.ac.uk>
See Also
SNESLineSearchCreate(), SNESLineSearchSetType()
Level
advanced
Location
src/snes/linesearch/impls/nleqerr/linesearchnleqerr.c
Index of all SNES routines
Table of Contents for all manual pages
Index of all manual pages