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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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