Block-Jacobi SVD Algorithms: A Review.

Martin Becka https://orcid.org/0009-0003-4802-7253

Gabriel Oksa Martin Becka Block-Jacobi SVD Algorithms: A Review. 2025 1254-1272 44 Comput. Informatics 5 https://doi.org/10.31577/cai_2025_5_1254 db/journals/cai/cai44.html#OksaB25 streams/journals/cai

Martin Becka Gabriel Oksa Preconditioning of the One-Sided Block-Jacobi SVD Algorithm by Polar Decomposition. 205-216 2024 PPAM (3) https://doi.org/10.1007/978-3-031-85703-4_14 conf/ppam/2024-3 db/conf/ppam/ppam2024-3.html#BeckaO24 streams/conf/ppam Gabriel Oksa Martin Becka On Relative Accuracy of the One-Sided Block-Jacobi SVD Algorithm. 464-475 2022 PPAM (1) https://doi.org/10.1007/978-3-031-30442-2_35 conf/ppam/2022-1 db/conf/ppam/ppam2022-1.html#OksaB22

Gabriel Oksa Yusaku Yamamoto Martin Becka Marián Vajtersic Asymptotic Quadratic Convergence of the Two-Sided Serial and Parallel Block-Jacobi SVD Algorithm. 639-671 2019 40 SIAM J. Matrix Anal. Appl. 2 https://doi.org/10.1137/18M1222727 db/journals/siammax/siammax40.html#OksaYBV19

Martin Becka Gabriel Oksa Preconditioned Jacobi SVD Algorithm Outperforms PDGESVD. 555-566 2019 PPAM (1) https://doi.org/10.1007/978-3-030-43229-4_47 conf/ppam/2019-1 db/conf/ppam/ppam2019-1.html#BeckaO19

Shuhei Kudo Yusaku Yamamoto Martin Becka Marián Vajtersic Performance analysis and optimization of the parallel one-sided block Jacobi SVD algorithm with dynamic ordering and variable blocking. 2017 29 Concurr. Comput. Pract. Exp. 9 https://doi.org/10.1002/cpe.4059 db/journals/concurrency/concurrency29.html#KudoYBV17

Martin Becka Gabriel Oksa Eva Vidlicková New Preconditioning for the One-Sided Block-Jacobi SVD Algorithm. 590-599 2017 PPAM (1) https://doi.org/10.1007/978-3-319-78024-5_51 conf/ppam/2017-1 db/conf/ppam/ppam2017-1.html#BeckaOV17

Martin Becka Gabriel Oksa Marián Vajtersic New Dynamic Orderings for the Parallel One-Sided Block-Jacobi SVD Algorithm. 2015 25 Parallel Process. Lett. 2 https://doi.org/10.1142/S0129626415500036 db/journals/ppl/ppl25.html#BeckaOV15 1550003:1-1550003:19

Shuhei Kudo Yusaku Yamamoto Martin Becka Marián Vajtersic Performance of the Parallel One-Sided Block Jacobi SVD Algorithm on a Modern Distributed-Memory Parallel Computer. 594-604 2015 PPAM (1) https://doi.org/10.1007/978-3-319-32149-3_55 conf/ppam/2015-1 db/conf/ppam/ppam2015-1.html#KudoYBV15 Martin Becka Gabriel Oksa New Approach to Local Computations in the Parallel One-Sided Jacobi SVD Algorithm. 605-617 2015 PPAM (1) https://doi.org/10.1007/978-3-319-32149-3_56 conf/ppam/2015-1 db/conf/ppam/ppam2015-1.html#BeckaO15 Martin Becka Gabriel Oksa Parallel One-Sided Jacobi SVD Algorithm with Variable Blocking Factor. 57-66 2013 PPAM (1) https://doi.org/10.1007/978-3-642-55224-3_6 conf/ppam/2013-1 db/conf/ppam/ppam2013-1.html#BeckaO13 Martin Becka Gabriel Oksa Marián Vajtersic Parallel Block-Jacobi SVD Methods. 185-197 2012 High-Performance Scientific Computing https://doi.org/10.1007/978-1-4471-2437-5_9 books/daglib/0028682 db/books/daglib/0028682.html#BeckaOV12

Martin Becka Gabriel Oksa Marián Vajtersic Laura Grigori On iterative QR pre-processing in the parallel block-Jacobi SVD algorithm. 297-307 2010 36 Parallel Comput. 5-6 https://doi.org/10.1016/j.parco.2009.12.013 db/journals/pc/pc36.html#BeckaOVG10

Peter Arbenz Martin Becka Roman Geus Ulrich Hetmaniuk Tiziano Mengotti On a parallel multilevel preconditioned Maxwell eigensolver. 157-165 2006 32 Parallel Comput. 2 https://doi.org/10.1016/j.parco.2005.06.005 db/journals/pc/pc32.html#ArbenzBGHM06

Peter Arbenz Martin Becka Roman Geus Ulrich Hetmaniuk Towards a Parallel Multilevel Preconditioned Maxwell Eigensolver. 831-838 2004 conf/para/2004 PARA https://doi.org/10.1007/11558958_100 db/conf/para/para2004.html#ArbenzBGH04

Martin Becka Gabriel Oksa On variable blocking factor in a parallel dynamic block--Jacobi SVD algorithm. 1153-1174 2003 29 Parallel Comput. 9 https://doi.org/10.1016/S0167-8191(03)00096-6 db/journals/pc/pc29.html#BeckaO03

Martin Becka Gabriel Oksa Marián Vajtersic Dynamic ordering for a parallel block-Jacobi SVD algorithm. 243-262 2002 28 Parallel Comput. 2 db/journals/pc/pc28.html#BeckaOV02 https://doi.org/10.1016/S0167-8191(01)00138-7

Gabriel Oksa Martin Becka Marián Vajtersic Parallel Computation with Structured Matrices in Linear Modeling of Multidimensional Signals. 2002 5 Parallel Distributed Comput. Pract. 3 http://www.scpe.org/index.php/scpe/article/view/294 db/journals/scpe/scpe5.html#OksaBV02

Tomás Hrúz Martin Becka Antonello Pasquarelli SEEDS: Airport Management Database System. 861-868 2000 conf/europar/2000 Euro-Par https://doi.org/10.1007/3-540-44520-X_119 db/conf/europar/europar2000.html#HruzBP00

Martin Becka Marián Vajtersic Block-jacobi Svd Algorithms for Distributed Memory Systems I: Hypercubes and Rings. 265-287 1999 13 Parallel Algorithms Appl. 3 https://doi.org/10.1080/10637199808947370 db/journals/paapp/paapp13.html#BeckaV99a

Martin Becka Marián Vajtersic Block-jacobi Svd Algorithms for Distributed Memory Systems Ii: Meshes*. 37-56 1999 14 Parallel Algorithms Appl. 1 https://doi.org/10.1080/10637199808947377 db/journals/paapp/paapp14.html#BeckaV99

Martin Becka Sophie Robert Marián Vajtersic Experiments with Parallel One-Sided and Two-Sided Algorithms for SVD . 48-57 1999 conf/acpc/1999 ACPC https://doi.org/10.1007/3-540-49164-3_5 db/conf/acpc/acpc1999.html#BeckaRV99 Peter Arbenz Roman Geus Laura Grigori Ulrich Hetmaniuk Tomás Hrúz Shuhei Kudo Tiziano Mengotti Gabriel Oksa Antonello Pasquarelli Sophie Robert Marián Vajtersic Eva Vidlicková Yusaku Yamamoto