A collection of efficient retractions for the symplectic Stiefel manifold-Reference-Cited by-同舟云学术

A collection of efficient retractions for the symplectic Stiefel manifold

Published:2023-04-27 Issue:4 Volume:42 Page:
ISSN:2238-3603
Container-title:Computational and Applied Mathematics
language:en
Short-container-title:Comp. Appl. Math.

Author:

Oviedo H.^ORCID,Herrera R.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s40314-023-02302-0.pdf

Reference40 articles.

1. Absil PA, Mahony R, Sepulchre R (2009) Optimization algorithms on matrix manifolds. Princeton University Press, Princeton. https://doi.org/10.1515/9781400830244

2. Amodio P (2003) A symplectic Lanczos-type algorithm to compute the eigenvalues of positive definite Hamiltonian matrices. In: Peter MAS, David A, Alexander VB, Yuriy EG, Jack JD, Albert YZ (eds) Lecture notes in computer science, vol 2658, pp 139–148. https://doi.org/10.1007/3-540-44862-4_16

3. Arnol’d VI (2013) Mathematical methods of classical mechanics. Springer, New York. https://doi.org/10.1007/978-1-4757-1693-1

4. Bendokat T, Zimmermann R (2021) The real symplectic Stiefel and Grassmann manifolds: metrics, geodesics and applications. arXiv:2108.12447. Accessed 30 Jan 2023

5. Benner P, Fabbender H (1997) An implicitly restarted symplectic Lanczos method for the Hamiltonian eigenvalue problem. Linear Algebra Appl 263:75–111. https://doi.org/10.1016/S0024-3795(96)00524-1

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