Bientinesi, P.Igual, F. D.Kressner, D.Petschow, M.Quintana-Ortí, E. S.2011-05-052011-05-052011-05-05201110.1002/cpe.1680https://infoscience.epfl.ch/handle/20.500.14299/67097We investigate the performance of the routines in LAPACK and the Successive Band Reduction (SBR) toolbox for the reduction of a dense matrix to tridiagonal form, a crucial preprocessing stage in the solution of the symmetric eigenvalue problem, on general-purpose multi-core processors. In response to the advances of hardware accelerators, we also modify the code in the SBR toolbox to accelerate the computation by off-loading a significant part of the operations to a graphics processor (GPU). The performance results illustrate the parallelism and scalability of these algorithms on current high-performance multi-core and many-core architectures. © 2010 John Wiley & Sons, Ltd.text::journal::journal article::research article