Parallel Performance of an Iterative Solver Based on the Golub-Kahan Bidiagonalization

Author:

Kruse Carola,Sosonkina Masha,Arioli Mario,Tardieu Nicolas,Rüde Ulrich

Publisher

Springer International Publishing

Reference23 articles.

1. Amestoy, P., Duff, I., L’Excellent, J., Koster, J.: A fully asynchronous multifrontal solver using distributed dynamic scheduling. SIAM J. Matrix Anal. Appl. 23(1), 15–41 (2001). https://doi.org/10.1137/S0895479899358194

2. Arioli, M.: Generalized Golub-Kahan bidiagonalization and stopping criteria. SIAM J. Matrix Anal. Appl. 34(2), 571–592 (2013). https://doi.org/10.1137/120866543

3. Arioli, M., Kruse, C., Rüde, U., Tardieu, N.: An iterative generalized Golub-Kahan algorithm for problems in structural mechanics. CoRR (2018). http://arxiv.org/abs/1808.07677

4. Balay, S., Abhyankar, S., Adams, M.F., Brown, J., Brune, P., Buschelman, K., et al.: PETSc Web page (2019). http://www.mcs.anl.gov/petsc

5. Balay, S., Abhyankar, S., Adams, M.F., Brown, J., Brune, P., Buschelman, K., et al.: PETSc users manual. Technical report ANL-95/11 - Revision 3.11, Argonne National Laboratory (2019). http://www.mcs.anl.gov/petsc

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1. Deflation for the Off-Diagonal Block in Symmetric Saddle Point Systems;SIAM Journal on Matrix Analysis and Applications;2024-01-17

2. Inexact inner–outer Golub–Kahan bidiagonalization method: A relaxation strategy;Numerical Linear Algebra with Applications;2022-12-12

3. Application of an iterative Golub-Kahan algorithm to structural mechanics problems with multi-point constraints;Advanced Modeling and Simulation in Engineering Sciences;2020-11-17

4. Parallel solution of saddle point systems with nested iterative solvers based on the Golub‐Kahan Bidiagonalization;Concurrency and Computation: Practice and Experience;2020-07-14

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