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The Algorithm of Multiple Relatively Robust Representations for Multi-core Processors
[chapter]
2012
Lecture Notes in Computer Science
The algorithm of Multiple Relatively Robust Representations (MRRR or MR 3 ) computes k eigenvalues and eigenvectors of a symmetric tridiagonal matrix in O(nk) arithmetic operations. Large problems can be effectively tackled with existing distributed-memory parallel implementations of MRRR; small and medium size problems can instead make use of LAPACK's routine xSTEMR. However, xSTEMR is optimized for single-core CPUs, and does not take advantage of today's multi-core and future many-core
doi:10.1007/978-3-642-28151-8_15
fatcat:zjfp5n2wvfawffvfamazz7mxcy