Bidiagonalization with Parallel Tiled Algorithms

@article{Faverge2016BidiagonalizationWP,
  title={Bidiagonalization with Parallel Tiled Algorithms},
  author={Mathieu Faverge and Julien Langou and Yves Robert and Jack J. Dongarra},
  journal={CoRR},
  year={2016},
  volume={abs/1611.06892}
}
We consider algorithms for going from a “full” matrix to a condensed “band bidiagonal” form using orthogonal transformations. We use the framework of “algorithms by tiles”. Within this framework, we study: (i) the tiled bidiagonalization algorithm BiDiag, which is a tiled version of the standard scalar bidiagonalization algorithm; and (ii) the R-bidiagonalization algorithm R-BiDiag, which is a tiled version of the algorithm which consists in first performing the QR factorization of the initial… CONTINUE READING
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