@Article{Quintana-Orti:2006:IPR,
  author =       "Gregorio Quintana-Ort\'{i} and Robert van de Geijn",
  title =        "Improving the Performance of Reduction to {Hessenberg} Form",
  journal =      "{ACM} Transactions on Mathematical Software",
  volume =       "32",
  number =       "2",
  pages =        "180--194",
  month =        jun,
  year =         "2006",
  URL =          "http://doi.acm.org/10.1145/1141885.1141887",
  abstract =     "In this paper, a modification of the blocked algorithm for reduction to 
                 Hessenberg form is presented that improves performance by shifting more 
                 computation from less efficient matrix-vector operations to highly efficient 
                 matrix-matrix operations. Significant performance improvements are reported 
                 relative to the performance achieved by the current LAPACK implementation.",
}