@conference {766, title = {Accelerating Eigenvector Computation in the Nonsymmetric Eigenvalue Problem}, booktitle = {VECPAR 2014}, year = {2014}, month = {2014-06}, address = {Eugene, OR}, abstract = {In the nonsymmetric eigenvalue problem, work has focused on the Hessenberg reduction and QR iteration, using efficient algorithms and fast, Level 3 BLAS routines. Comparatively, computation of eigenvectors performs poorly, limited to slow, Level 2 BLAS performance with little speedup on multi-core systems. It has thus become a dominant cost in the eigenvalue problem. To address this, we present improvements for the eigenvector computation to use Level 3 BLAS where applicable and parallelize the remaining triangular solves, achieving good parallel scaling and accelerating the overall eigenvalue problem more than three-fold.}, author = {Mark Gates and Azzam Haidar and Jack Dongarra} }