Parlett's work on the symmetric eigenvalue problem has had a significant impact on the field. His contributions include:
Moreover, recent controversies regarding "new" algorithms often reveal that Parlett had already discussed the core idea decades ago under a different name. For example, the now-popular for low-rank matrices echoes Parlett’s discussions of the Nyström method and subspace iteration. parlett the symmetric eigenvalue problem pdf
First published in 1980 by Prentice-Hall (and reprinted by SIAM in 1998), The Symmetric Eigenvalue Problem was born during a transformative era for computational science. The 1970s saw the rise of robust implementations of the QR algorithm, the discovery of the Lanczos method’s hidden virtues, and a growing understanding of numerical stability. Parlett's work on the symmetric eigenvalue problem has