A Theoretical Comparison between Inner Products in the Shift-invert Arnoldi Method and the Spectral Transformation Lanczos Method

Abstract

The spectral transformation Lanczos method and the shift-invert Arnoldi method are probably the most popular methods for the solution of linear generalized eigenvalue problems originating from engineering applications, including structural and acoustic analyses and fluid dynamics. The orthogonalization of the Krylov vectors requires inner products. Often… (More)

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