A numerical-and-computational study on the impact of using quaternions in the branch-and-prune algorithm for exact discretizable distance geometry problems-Reference-Cited by-同舟云学术

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A numerical-and-computational study on the impact of using quaternions in the branch-and-prune algorithm for exact discretizable distance geometry problems

Published:2023-09-25 Issue: Volume: Page:
ISSN:0926-6003
Container-title:Computational Optimization and Applications
language:en
Short-container-title:Comput Optim Appl

Author:

Fidalgo Felipe^ORCID,Castelani Emerson,Philippi Guilherme

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Universidade Federal de Santa Catarina

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Control and Optimization

Link

https://link.springer.com/content/pdf/10.1007/s10589-023-00526-8.pdf

Reference35 articles.

1. Liberti, L., Lavor, C.: Six mathematical gems from the history of distance geometry. Int. Trans. Oper. Res. 23, 897–920 (2016)

2. Liberti, L., Lavor, C., Maculan, N., Mucherino, A.: Euclidean distance geometry and applications. SIAM Rev. 56(1), 3–69 (2014)

3. Moré, J., Wu, Z.: Global continuation for distance geometry problems. SIAM J. Comput. 7(3), 814–836 (1997)

4. Hoai An, L.T.: Solving large scale molecular distance geometry problems by a smoothing technique via the gaussian transform and dc programming. J. Glob. Optim. 27, 375–397 (2003)

5. Hoai An, L.T., Tao, P.D.: Large scale molecular optimization from distance matrices by a DC optimization approach. SIAM J. Optim. 14, 77–114 (2003)

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