Lanczos algorithm - Wikipedia

The Lanczos algorithm is most often brought up in the context of finding the eigenvalues and eigenvectors of a matrix, but whereas an ordinary diagonalization of a matrix would make eigenvectors and eigenvalues apparent from inspection, the same is not true for the tridiagonalization performed by the Lanczos algorithm; nontrivial additional steps are needed to compute even a single eigenvalue ...

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Quantitative Research Data Preparation and Cleaning Process

Among the tools that may be used for the purpose of data preparation and cleaning are Excel, which can be utilized for fundamental activities such as filtering, sorting, and deduplication; Python and R, which can be utilized for sophisticated libraries like as Pandas and Tidyverse; specialist software such as OpenRefine, Tableau Prep, and Alteryx; and database management systems such as SQL.

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Lanczos algorithm

The Lanczos algorithm is most often brought up in the context of finding the eigenvalues and eigenvectors of a matrix, but whereas an ordinary diagonalization of a matrix would make eigenvectors and eigenvalues apparent from inspection, the same is not true for the tridiagonalization performed by the Lanczos algorithm; nontrivial additional steps are needed to compute even a single eigenvalue ...

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