Genefer: Programs for Finding Large Probable Generalized Fermat
                        Primes

Bethune, Iain; Gallot, Yves

doi:10.5334/jors.ca

JORS

2015

DOI: 10.5334/jors.ca

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Genefer: Programs for Finding Large Probable Generalized Fermat Primes

Iain Bethune

Yves Gallot²

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2020

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The Full Configuration Interaction Quantum Monte Carlo Method through the Lens of Inexact Power Iteration

Lu¹,

Wang²

2020

SIAM J. Sci. Comput.

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In this paper, we propose a general analysis framework for inexact power iteration, which can be used to efficiently solve high dimensional eigenvalue problems arising from quantum many-body problems. Under the proposed framework, we establish the convergence theorems for several recently proposed randomized algorithms, including the full configuration interaction quantum Monte Carlo (FCIQMC) and the fast randomized iteration (FRI). The analysis is consistent with numerical experiments for physical systems such as Hubbard model and small chemical molecules. We also compare the algorithms both in convergence analysis and numerical results.

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The Full Configuration Interaction Quantum Monte Carlo Method through the Lens of Inexact Power Iteration

Lu¹,

Wang²

2020

SIAM J. Sci. Comput.

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show abstract

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Genefer: Programs for Finding Large Probable Generalized Fermat Primes

Cited by 1 publication

References 7 publications

The Full Configuration Interaction Quantum Monte Carlo Method through the Lens of Inexact Power Iteration

The Full Configuration Interaction Quantum Monte Carlo Method through the Lens of Inexact Power Iteration

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