symrcm

symrcm: Sparse reverse Cuthill-McKee ordering. r = symrcm(S) returns the symmetric reverse Cuthill-McKee ordering of S. This is a permutation r such that S(r,r) tends to have its nonzero elements closer to the diagonal. This is a good preordering for LU or Cholesky factorization of matrices that come from long, skinny problems. The ordering works for both symmetric and nonsymmetric S. For a real, symmetric sparse matrix, S, the eigenvalues of S(r,r) are the same as those of S, but eig(S(r,r)) probably takes less time to compute than eig(S).


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  1. Evangelopoulos, Xenophon; Brockmeier, Austin J.; Mu, Tingting; Goulermas, John Y.: Continuation methods for approximate large scale object sequencing (2019)
  2. Bouzat, Nicolas; Bressan, Camilla; Grandgirard, Virginie; Latu, Guillaume; Mehrenberger, Michel: Targeting realistic geometry in tokamak code Gysela (2018)
  3. Eslami, Mostafa: Global range restricted GMRES for linear systems with multiple right hand sides (2018)
  4. Gonzaga de Oliveira, Sanderson L.; Bernardes, J. A. B.; Chagas, G. O.: An evaluation of reordering algorithms to reduce the computational cost of the incomplete Cholesky-conjugate gradient method (2018)
  5. Gonzaga de Oliveira, Sanderson L.; Bernardes, Júnior A. B.; Chagas, Guilherme O.: An evaluation of low-cost heuristics for matrix bandwidth and profile reductions (2018)
  6. Grigori, Laura; Cayrols, Sebastien; Demmel, James W.: Low rank approximation of a sparse matrix based on LU factorization with column and row tournament pivoting (2018)
  7. Hager, William W.; Hungerford, James T.; Safro, Ilya: A multilevel bilinear programming algorithm for the vertex separator problem (2018)
  8. Kovkov, D. V.; Lemtyuzhnikova, D. V.: Decomposition in multidimensional Boolean-optimization problems with sparse matrices (2018)
  9. Shioya, Akemi; Yamamoto, Yusaku: The danger of combining block red-black ordering with modified incomplete factorizations and its remedy by perturbation or relaxation (2018)
  10. Suesse, Thomas: Estimation of spatial autoregressive models with measurement error for large data sets (2018)
  11. Zammit-Mangion, Andrew; Rougier, Jonathan: A sparse linear algebra algorithm for fast computation of prediction variances with Gaussian Markov random fields (2018)
  12. Cerdán, J.; Marín, J.; Mas, J.: A two-level ILU preconditioner for electromagnetic applications (2017)
  13. Gould, Nicholas I. M.; Robinson, Daniel P.: A dual gradient-projection method for large-scale strictly convex quadratic problems (2017)
  14. Gupta, Anshul: Enhancing performance and robustness of ILU preconditioners by blocking and selective transposition (2017)
  15. Kamyshin, V. E.; Mazhorova, O. S.: Algorithm for solving the Navier-Stokes equations for the modeling of creeping flows (2017)
  16. Rizzuti, G.; Gisolf, A.: An iterative method for 2D inverse scattering problems by alternating reconstruction of medium properties and wavefields: theory and application to the inversion of elastic waveforms (2017)
  17. Shen, Tong; Vernerey, Franck: Phoretic motion of soft vesicles and droplets: an XFEM/particle-based numerical solution (2017)
  18. Silva, Daniele; Velazco, Marta; Oliveira, Aurelio: Influence of matrix reordering on the performance of iterative methods for solving linear systems arising from interior point methods for linear programming (2017)
  19. Tani, Mattia: A preconditioning strategy for linear systems arising from nonsymmetric schemes in isogeometric analysis (2017)
  20. Xu, Xiankun; Li, Peiwen: Distance descending ordering method: an (O(n)) algorithm for inverting the mass matrix in simulation of macromolecules with long branches (2017)

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