A locally convergent Jacobi iteration for the tensor singular value problem

Hanumant Singh Shekhawat, Siep Weiland

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Abstract

Multi-linear functionals or tensors are useful in study and analysis multi-dimensional signal and system. Tensor approximation, which has various applications in signal processing and system theory, can be achieved by generalizing the notion of singular values and singular vectors of matrices to tensor. In this paper, we showed local convergence of a parallelizable numerical method (based on the Jacobi iteration) for obtaining the singular values and singular vectors of a tensor.

Original languageEnglish
Pages (from-to)1075-1094
Number of pages20
JournalMultidimensional Systems and Signal Processing
Volume29
Issue number3
DOIs
Publication statusPublished - 1 Jul 2018

Keywords

  • Jacobi iteration
  • Singular value decompositions
  • Tensor decompositions

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