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The Least squares and line search in extracting eigenpairs in Jacobi–Davidson method

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The methods used for extracting an approximate eigenpair are crucial in sparse iterative eigensolvers. Using least squares and line search techniques this paper devises a method for an approximate eigenpair… Click to show full abstract

The methods used for extracting an approximate eigenpair are crucial in sparse iterative eigensolvers. Using least squares and line search techniques this paper devises a method for an approximate eigenpair extraction. Numerical comparison of the Jacobi–Davidson method using the suggested method of eigenpair extraction, Rayleigh–Ritz, and refined Ritz projections shows that the suggested method is a viable alternative.

Keywords: least squares; davidson method; jacobi davidson; squares line; line search

Journal Title: Bit Numerical Mathematics
Year Published: 2020

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