Performance analysis and design of a hessenberg reduction using stabilized blocked elementary transformations for new architectures

Abstract

The solution of nonsymmetric eigenvalue problems, Ax = λx, can be accelerated substantially by first reducing A to an upper Hessenberg matrix H that has the same eigenvalues as A. This can be done using Householder orthogonal transformations, which is a well established standard, or stabilized elementary transformations. The latter approach, although having… (More)

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Cite this paper

@inproceedings{Kabir2015PerformanceAA, title={Performance analysis and design of a hessenberg reduction using stabilized blocked elementary transformations for new architectures}, author={Khairul Kabir and Azzam Haidar and Stanimire Tomov and Jack J. Dongarra}, booktitle={SpringSim}, year={2015} }