Naslov
Lattice structure detection and refinement DMD algorithm

Autori
Crnković, Bojan

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
61stANNUAL MEETING OF THE AUSTRALIAN MATHEMATICAL SOCIETY program and abstracts / - , 2017, 83-83

Skup
61st Annual Meeting of the Australian Mathematical Society

Mjesto i datum
Sydney, Australija, 12.12.2017. - 15.12.2017

Vrsta sudjelovanja
Poster

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Koopman, eigenvalues, eigenvectors

Sažetak
Dynamic Mode Decomposition (DMD) is a classof numerical algorithms for computation of theeigenvalues and eigenfunctions of the Koopman operator. The Koopman eigenvalues form a lat-tice structure that depends on the principal gen-erating eigenvalues. This can also be observedin numerical approximations of Koopman eigen-values using some DMD algorithm but the nu-merical error is present and obtained result hasan proximate lattice structure. We will presenta modification of a DDMD-RRR algorithm that promotes the lattice structure and reduces the nu-merical error by Least Squares Minimisation of the Wasserstein distance form the ideal lattice.The algorithm can be used to automatically detectthe lattice structure, principal generators and cancorrect the errors with the application of Ritz pairrefinement of targeted eigenvalues in the lattice.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA