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- W2008671657 abstract "A central problem in the Jacobi-Davidson method is to expand a projection subspace by solving a certain correction equation. It has been commonly accepted that the correction equation always has a solution. However, it is proved in this paper that this is not true. Conditions are given to decide when it has a unique solution or many solutions or no solution. A refined Jacobi-Davidson method is proposed to overcome the possible nonconvergence of Ritz vectors by computing certain refined approximation eigenvectors from the subspace. A corresponding correction equation is derived for the refined method. Numerical experiments are conducted and efficiency of the refined method is confirmed." @default.
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- W2008671657 date "2005-01-01" @default.
- W2008671657 modified "2023-09-24" @default.
- W2008671657 title "A refined jacobi-davidson method and its correction equation" @default.
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- W2008671657 doi "https://doi.org/10.1016/j.camwa.2003.01.018" @default.
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