Harwell-Boeing sparse matrix collection

Sparse matrix test problems. We describe the Harwell-Boeing sparse matrix collection, a set of standard test matrices for sparse matrix problems. Our test set comprises problems in linear systems, least squares, and eigenvalue calculations from a wide variety of scientific and engineering disciplines. The problems range from small matrices, used as counter-examples to hypotheses in sparse matrix research, to large test cases arising in large-scale computation. We offer the collection to other researchers as a standard benchmark for comparative studies of algorithms. The procedures for obtaining and using the test collection are discussed. We also describe the guidelines for contributing further test problems to the collection.

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  1. Schlüter, Federico; Strappa, Yanela; Milone, Diego H.; Bromberg, Facundo: Blankets joint posterior score for learning Markov network structures (2018)
  2. Ji, Hao; Li, Yaohang: A breakdown-free block conjugate gradient method (2017)
  3. Stachurski, Andrzej: On a conjugate directions method for solving strictly convex QP problem (2017)
  4. Wei, Wei; Dai, Hua: Implicitly restarted refined partially orthogonal projection method with deflation (2017)
  5. Zhu, Yao; Gleich, David F.; Grama, Ananth: Erasure coding for fault-oblivious linear system solvers (2017)
  6. Gu, Xian-Ming; Huang, Ting-Zhu; Carpentieri, Bruno: BiCGCR2: A new extension of conjugate residual method for solving non-Hermitian linear systems (2016)
  7. Hasan, Mahmudul; Hossain, Shahadat; Khan, Ahamad Imtiaz; Mithila, Nasrin Hakim; Suny, Ashraful Huq: DSJM: a software toolkit for direct determination of sparse Jacobian matrices (2016)
  8. Drummond, L.A.; Duff, Iain S.; Guivarch, Ronan; Ruiz, Daniel; Zenadi, Mohamed: Partitioning strategies for the block Cimmino algorithm (2015)
  9. Lecomte, Christophe: TRAX: an approach for the time rational analysis of complex dynamic systems (2015)
  10. Lubin, Miles; Dunning, Iain: Computing in operations research using Julia (2015)
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  12. Agullo, E.; Giraud, L.; Jing, Y.-F.: Block GMRES method with inexact breakdowns and deflated restarting (2014)
  13. Baglama, James; Richmond, Daniel J.: Implicitly restarting the LSQR algorithm (2014)
  14. Reinelt, Gerhard; Seitz, Hanna: On a binary distance model for the minimum linear arrangement problem (2014)
  15. Wu, Gang; Zhang, Lu: On expansion of search subspaces for large non-Hermitian eigenproblems (2014)
  16. Zak, Mohammad Khorsand; Toutounian, Faezeh: Nested splitting CG-like iterative method for solving the continuous Sylvester equation and preconditioning (2014)
  17. Astudillo, R.; Castillo, Z.: Computing pseudospectra using block implicitly restarted Arnoldi iteration (2013)
  18. Baglama, James; Reichel, Lothar: An implicitly restarted block Lanczos bidiagonalization method using Leja shifts (2013)
  19. Betcke, Timo; Higham, Nicholas J.; Mehrmann, Volker; Schröder, Christian; Tisseur, Françoise: NLEVP, a collection of nonlinear eigenvalue problems (2013)
  20. Gebremedhin, Assefaw H.; Nguyen, Duc; Patwary, Md.Mostofa Ali; Pothen, Alex: ColPack, software for graph coloring and related problems in scientific computing (2013)

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