Analysis of Accelerating Algorithms for the Restarted Arnoldi Iteration
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چکیده
We present an approach for the acceleration of the restarted Arnoldi iteration for the computation of a number of eigenvalues of the standard eigenproblem Ax = x. This study applies the Chebyshev polynomial to the restarted Arnoldi iteration and proves that it computes necessary eigenvalues with far less complexity than the QR method. We also discuss the dependence of the convergence rate of the restarted Arnoldi iteration on the distribution of spectrum.
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تاریخ انتشار 1997