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- W2945657907 abstract "In this paper we present a new type of restarted Krylov methods for calculating the smallest singular triplets of a large sparse matrix, A. The new framework avoids the Lanczos bidiagonalization process and the use of polynomial filtering. This simplifies the restarting mechanism and allows the introduction of several modifications. Convergence is assured by a monotonicity property that pushes the computed Ritz values toward their limits. Other innovations regard the construction of improved Krylov subspaces, which are generated by (ATA)−1, the inverse of the cross-product matrix, or by approximation of this matrix. The approximate inverse is computed by applying an iterative method to solve the related linear system. Numerical experiments illustrate the usefulness of the proposed approach." @default.
- W2945657907 created "2019-05-29" @default.
- W2945657907 creator A5009299181 @default.
- W2945657907 date "2019-10-01" @default.
- W2945657907 modified "2023-10-02" @default.
- W2945657907 title "Computing the smallest singular triplets of a large matrix" @default.
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- W2945657907 doi "https://doi.org/10.1016/j.rinam.2019.100006" @default.
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