Guest Editors Introduction to the top 10 algorithms

By Jack J. Dongarra, F. Sullivan. Comput. Sci. Eng., 2000

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Spectra and Pseudospectra (2020, methodology): “Nominated as one of the “10 algorithms with the greatest influence on the development and practice of science and engineering in the 20th century” [8], the QR algorithm has been the standard method for solving the eigenvalue problem for over 40 years.”
A Brief Introduction to Krylov Space Methods for Solving Linear Systems (2007, unknown): “With respect to the “influence on the development and practice of science and engineering in the 20th century”, Krylov space methods are considered as one of the ten most important classes of numerical methods [1].”
Learning Fast Algorithms for Linear Transforms Using Butterfly Factorizations (2019, methodology): “mulas are in Appendix A, Table 3. 1. Discrete Fourier transform (DFT): arguably the most important computational tool in signal processing, the FFT is one of the top 10 algorithms of the 20th century [11]. 2. Discrete cosine transform (DCT): it expresses the input vector in the basis of cosine funct”