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- W2082463306 abstract "The Lanczos algorithm uses a three-term recurrence to construct an orthonormal basis for the Krylov space corresponding to a symmetric matrix A and a nonzero starting vector $varphi$. The vectors and recurrence coefficients produced by this algorithm can be used for a number of purposes, including solving linear systems $Au= varphi$ and computing the matrix exponential $e^{-tA} varphi$. Although the vectors produced in finite precision arithmetic are not orthogonal, we show why they can still be used effectively for these purposes." @default.
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- W2082463306 date "1998-01-01" @default.
- W2082463306 modified "2023-09-26" @default.
- W2082463306 title "Using Nonorthogonal Lanczos Vectors in the Computation of Matrix Functions" @default.
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- W2082463306 doi "https://doi.org/10.1137/s1064827596303661" @default.
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