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cs.CEJan 24, 2020
authors
  • David Yevick
arXiv abstractPDF
paper

Electric Field Propagation Through Singular Value Decomposition

arXiv:2001.09842

Abstract

We demonstrate that the singular value decomposition algorithm in conjunction with the fast Fourier transform or finite difference procedures provides a straightforward and accurate method for rapidly propagating electric fields in the one-way Helmholtz formalism.

References in corpus (9)

  • Tensor renormalization group approach to 2D classical lattice models
  • Tensor Network Renormalization
  • Tensor network states and algorithms in the presence of a global U(1) symmetry
  • Algorithms for tensor network renormalization
  • Fast convergence of imaginary time evolution tensor network algorithms by recycling the environment
  • Multigrid Algorithms for Tensor Network States
  • Tensor network algorithm by coarse-graining tensor renormalization on finite periodic lattices
  • Generalization of the tensor renormalization group approach to 3-D or higher dimensions
  • Accuracy and Efficiency of Simplified Tensor Network Codes
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