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PDSYEVR. Scalapack's Parallel MRRR Algorithm for the Symmetric Eigenvalue Problem  (Make Corrections)  
Dominic Antonelli, Christof Vömel



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Abstract: In the 90s, Dhillon and Parlett devised a new algorithm (Multiple Relatively Robust Representations, MRRR) for computing numerically orthogonal eigenvectors of a symmetric tridiagonal matrix T with ) cost. In this paper, we describe the design of pdsyevr, a ScaLAPACK implementation of the MRRR algorithm to compute the eigenpairs in parallel. It represents a substantial improvement over the symmetric eigensolver pdsyevx that is currently in ScaLAPACK and is going to be part of the next... (Update)

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1.8:   Subset Computations with the MRRR Algorithm - Marques, Parlett, Vömel   (Correct)
1.7:   Lapack Working Note 163: How The Mrrr Algorithm - Can Fail On   (Correct)
0.6:   A Parallel Eigensolver for Dense Symmetric Matrices.. - Bientinesi, Dhillon.. (2003)   (Correct)

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BibTeX entry:   (Update)

@misc{ antonelli-pdsyevr,
  author = "Dominic Antonelli and Christof Vömel",
  title = "PDSYEVR. Scalapack's Parallel MRRR Algorithm for the Symmetric Eigenvalue
    Problem",
  url = "citeseer.ist.psu.edu/736764.html" }
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1   LAPACK working note 164: LAPACK (context) - Demmel, Dongarra - 2005

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