Regensburg 2016 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 59: Low-Dimensional Systems: Poster Session

TT 59.5: Poster

Mittwoch, 9. März 2016, 15:00–18:30, Poster D

Acceleration of MPS-based algorithms by using the adaptive cross approximation — •Holger Thyen, Thomas Köhler, Salvatore R. Manmana, and Stephan Kramer — Institut für Theoretische Physik, Georg-August-Universität, Göttigen

We investigate the benefits of the adaptive cross approximation (ACA) [1], used for the low-rank approximation of the matrices occurring in MPS-based DMRG algorithms. By connecting convergence criteria occurring during the ACA to the discarded weight of the approximation via the usual singular value decomposition (SVD), we obtain a stopping criterion for the iterations of the ACA and investigate possible alternative control parameters. The so obtained code based on ACA is benchmarked to codes based purely on SVD. The code development is part of the open-source SciPAL library [2].

Financial support via DFG through CRC 1073 "Atomic scale control of energy conversion", project B03 is gratefully acknowledged.
M. Bebendorf and S. Rjasanow, Computing 70 1, (2003).
Stephan C. Kramer and Johannes Hagemann,

ACM Trans. Parallel Comput. 1, 2, Article 15 (2015)