## Bidiagonalization and R-Bidiagonalization: Parallel Tiled Algorithms, Critical Paths and Distributed-Memory Implementation

- Mathieu Faverge, Julien Langou, Yves Robert, Jack J. Dongarra
- 2017 IEEE International Parallel and Distributed…
- 2017

@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} }

- Published 2016 in ArXiv

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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