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Error Estimates for the Arnoldi Approximation of a Matrix Square Root

Adler, James H. et al.
arXiv (All) · Papers
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numerical-analysis
The Arnoldi process provides an efficient framework for approximating functions of a matrix applied to a vector, i.e., of the form $f(M)\bm{b}$, by repeated matrix-vector multiplications. In this paper, we derive error estimates for approximating the action of a matrix square root using the Arnoldi
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