Complex moment-based method with nonlinear transformation for computing large and sparse interior singular triplets

09/28/2021

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by   Akira Imakura, et al.

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This paper considers computing interior singular triplets corresponding to the singular values in some interval. Based on the concept of the complex moment-based parallel eigensolvers, in this paper, we propose a novel complex moment-based method with a nonlinear transformation. We also analyse the error bounds of the proposed method and provide some practical techniques. Numerical experiments indicate that the proposed complex moment-based method with the nonlinear transformation computes accurate singular triplets for both exterior and interior problems within small computation time compared with existing methods.