• Corpus ID: 231741368

A Flexible Power Method for Solving Infinite Dimensional Tensor Eigenvalue Problems

@article{Beeumen2021AFP,
  title={A Flexible Power Method for Solving Infinite Dimensional Tensor Eigenvalue Problems},
  author={Roel Van Beeumen and Lana Perisa and Daniel Kressner and Chao Yang},
  journal={ArXiv},
  year={2021},
  volume={abs/2102.00146}
}
Abstract. We propose a flexible power method for computing the leftmost, i.e., algebraically smallest, eigenvalue of an infinite dimensional tensor eigenvalue problem, Hx = λx, where the infinite dimensional symmetric matrix H exhibits a translational invariant structure. We assume the smallest eigenvalue of H is simple and apply a power iteration of e with the eigenvector represented in a compact way as a translational invariant infinite Tensor Ring (iTR). Hence, the infinite dimensional… 

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