Generalized minimal residual method (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Generalized minimal residual method" in English language version.

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arxiv.org

doi.org

  • Saad, Youcef; Schultz, Martin H. (1986). "GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems". SIAM Journal on Scientific and Statistical Computing. 7 (3): 856–869. doi:10.1137/0907058. ISSN 0196-5204.
  • Paige and Saunders, "Solution of Sparse Indefinite Systems of Linear Equations", SIAM J. Numer. Anal., vol 12, page 617 (1975) https://doi.org/10.1137/0712047
  • Eisenstat, Elman & Schultz 1983, Thm 3.3. NB all results for GCR also hold for GMRES, cf. Saad & Schultz 1986 Eisenstat, Stanley C.; Elman, Howard C.; Schultz, Martin H. (1983). "Variational Iterative Methods for Nonsymmetric Systems of Linear Equations". SIAM Journal on Numerical Analysis. 20 (2): 345–357. doi:10.1137/0720023. ISSN 0036-1429.
  • Amritkar, Amit; de Sturler, Eric; Świrydowicz, Katarzyna; Tafti, Danesh; Ahuja, Kapil (2015). "Recycling Krylov subspaces for CFD applications and a new hybrid recycling solver". Journal of Computational Physics. 303: 222. arXiv:1501.03358. Bibcode:2015JCoPh.303..222A. doi:10.1016/j.jcp.2015.09.040. S2CID 2933274.
  • Gaul, André (2014). Recycling Krylov subspace methods for sequences of linear systems (Ph.D.). TU Berlin. doi:10.14279/depositonce-4147.

hal.science

theses.hal.science

harvard.edu

ui.adsabs.harvard.edu

semanticscholar.org

api.semanticscholar.org

siam.org

epubs.siam.org

  • Saad, Youcef; Schultz, Martin H. (1986). "GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems". SIAM Journal on Scientific and Statistical Computing. 7 (3): 856–869. doi:10.1137/0907058. ISSN 0196-5204.

worldcat.org

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  • Saad, Youcef; Schultz, Martin H. (1986). "GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems". SIAM Journal on Scientific and Statistical Computing. 7 (3): 856–869. doi:10.1137/0907058. ISSN 0196-5204.
  • Eisenstat, Elman & Schultz 1983, Thm 3.3. NB all results for GCR also hold for GMRES, cf. Saad & Schultz 1986 Eisenstat, Stanley C.; Elman, Howard C.; Schultz, Martin H. (1983). "Variational Iterative Methods for Nonsymmetric Systems of Linear Equations". SIAM Journal on Numerical Analysis. 20 (2): 345–357. doi:10.1137/0720023. ISSN 0036-1429.