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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  2. Azad, Ariful; Ballard, Grey; Buluç, Aydin; Demmel, James; Grigori, Laura; Schwartz, Oded; Toledo, Sivan; Williams, Samuel: Exploiting multiple levels of parallelism in sparse matrix-matrix multiplication (2016)
  3. Bu, Yiming; Carpentieri, Bruno; Shen, Zhaoli; Huang, Ting-Zhu: A hybrid recursive multilevel incomplete factorization preconditioner for solving general linear systems (2016)
  4. Jiang, Bo; Liu, Ya-Feng; Wen, Zaiwen: $L_p$-norm regularization algorithms for optimization over permutation matrices (2016)
  5. Lange, Michael; Mitchell, Lawrence; Knepley, Matthew G.; Gorman, Gerard J.: Efficient mesh management in firedrake using PETSc DMPlex (2016)
  6. Palitta, Davide; Simoncini, Valeria: Matrix-equation-based strategies for convection-diffusion equations (2016)
  7. Pedroche, Francisco; Rebollo, Miguel; Carrascosa, Carlos; Palomares, Alberto: On some properties of the Laplacian matrix revealed by the RCM algorithm. (2016)
  8. Rizzuti, G.; Mulder, W.A.: Multigrid-based `shifted-Laplacian’ preconditioning for the time-harmonic elastic wave equation (2016)
  9. Slota, George M.; Madduri, Kamesh; Rajamanickam, Sivasankaran: Complex network partitioning using label propagation (2016)
  10. Golovach, Petr A.; Heggernes, Pinar; van ’t Hof, Pim; Manne, Fredrik; Paulusma, Daniël; Pilipczuk, Michał: Modifying a graph using vertex elimination (2015)
  11. Hager, William W.; Hungerford, James T.: Continuous quadratic programming formulations of optimization problems on graphs (2015)
  12. Janna, Carlo; Castelletto, Nicola; Ferronato, Massimiliano: The effect of graph partitioning techniques on parallel block FSAI preconditioning: a computational study (2015)
  13. Lei, Yuan: The inexact fixed matrix iteration for solving large linear inequalities in a least squares sense (2015)
  14. Li, Liang; Huang, Ting-Zhu; Jing, Yan-Fei; Ren, Zhi-Gang: Effective preconditioning through minimum degree ordering interleaved with incomplete factorization (2015)
  15. Belmonte, Rémy; Golovach, Petr A.; Heggernes, Pinar; van’t Hof, Pim; Kamiński, Marcin; Paulusma, Daniël: Detecting fixed patterns in chordal graphs in polynomial time (2014)
  16. Carpentieri, Bruno; Liao, Jia; Sosonkina, Masha: VBARMS: a variable block algebraic recursive multilevel solver for sparse linear systems (2014)
  17. Golovach, Petr A.; Heggernes, Pinar; Kratsch, Dieter; Saei, Reza: Subset feedback vertex sets in chordal graphs (2014)
  18. Kazolea, M.; Delis, A.I.; Synolakis, C.E.: Numerical treatment of wave breaking on unstructured finite volume approximations for extended Boussinesq-type equations (2014)
  19. Laayouni, Lahcen; Szyld, Daniel B.: On the performance of the algebraic optimized Schwarz methods with applications (2014)
  20. Akhunov, R.R.; Kuksenko, S.P.; Salov, V.K.; Gazizov, T.R.: Sparse matrix storage formats and acceleration of iterative solution of linear algebraic systems with dense matrices (2013)

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