Iterative methods are used to generate Lyapunov vectors (LVs) and singular vectors (SVs). Their roles in describing atmospheric error growth and predictability are studied. LVs are produced by evolving a set of initially random perturbations and using a modified Gram-Schmidt re-orthogonalisation to ensure their orthogonality. The structures of LVs and SVs, and finite-time normal modes (FTNMs), are compared with patterns of 100 errors evolving in a barotropic tangent linear model.
@article{656,
title = {Iterative methods for Lyapunov vectors and singular vectors and atmospheric predictability},
journal = {ANZIAM Journal},
volume = {42},
year = {2000},
doi = {10.21914/anziamj.v42i0.656},
language = {EN},
url = {http://dml.mathdoc.fr/item/656}
}
Wei, Mozheng; Frederiksen, Jorgen S. Iterative methods for Lyapunov vectors and singular vectors and atmospheric predictability. ANZIAM Journal, Tome 42 (2000) . doi : 10.21914/anziamj.v42i0.656. http://gdmltest.u-ga.fr/item/656/