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Lattice structure detection and refinement DMD algorithm (CROSBI ID 699536)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija

Crnković, Bojan Lattice structure detection and refinement DMD algorithm // 61stANNUAL MEETING OF THE AUSTRALIAN MATHEMATICAL SOCIETY program and abstracts. 2017. str. 83-83

Podaci o odgovornosti

Crnković, Bojan

engleski

Lattice structure detection and refinement DMD algorithm

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.

Koopman, eigenvalues, eigenvectors

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Podaci o prilogu

83-83.

2017.

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objavljeno

Podaci o matičnoj publikaciji

61stANNUAL MEETING OF THE AUSTRALIAN MATHEMATICAL SOCIETY program and abstracts

Podaci o skupu

61st Annual Meeting of the Australian Mathematical Society

poster

12.12.2017-15.12.2017

Sydney, Australija

Povezanost rada

Matematika