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• W2003451508 abstract "The shift-invert Arnoldi method is employed to generate an orthonormal basis from the Krylov subspace corresponding to a real Toeplitz matrix and an initial vector. The vectors and recurrence coefficients produced by this method are exploited to approximate the Toeplitz matrix exponential. Toeplitz matrix inversion formula and rapid Toeplitz matrix-vector multiplications are utilized to lower the computational costs. For convergence analysis, a sufficient condition is established to guarantee that the error bound is independent of the norm of the matrix. Numerical results are given to demonstrate the efficiency of the method." @default.
• W2003451508 created "2016-06-24" @default.
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• W2003451508 date "2010-01-01" @default.
• W2003451508 modified "2023-10-18" @default.
• W2003451508 title "Shift-Invert Arnoldi Approximation to the Toeplitz Matrix Exponential" @default.
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• W2003451508 doi "https://doi.org/10.1137/090758064" @default.
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