Alternating projection method for a class of tensor equations

DOI10.1016/j.cam.2018.07.013zbMath1451.65051OpenAlexW2883138145WikidataQ129460185 ScholiaQ129460185MaRDI QIDQ1624670

Yu-Hong Dai, Huan Gao, Zhibao Li

Publication date: 16 November 2018

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2018.07.013

zbMATH Keywords

alternating projection methodtensor equationellipsoid surface

Mathematics Subject Classification ID

Multilinear algebra, tensor calculus (15A69) Numerical methods for matrix equations (65F45)

Related Items (11)

Preconditioned Jacobi type method for solving multi-linear systems with \(\mathcal{M}\)-tensors ⋮ A new preconditioned SOR method for solving multi-linear systems with an \(\mathcal{M} \)-tensor ⋮ Accelerated dynamical approaches for finding the unique positive solution of \(\mathcal{KS}\)-tensor equations ⋮ Conjugate gradient-like methods for solving general tensor equation with Einstein product ⋮ The accelerated overrelaxation splitting method for solving symmetric tensor equations ⋮ Generalized tensor equations with leading structured tensors ⋮ A nonnegativity preserving algorithm for multilinear systems with nonsingular \(\mathcal{M}\)-tensors ⋮ Neural network approach for solving nonsingular multi-linear tensor systems ⋮ Newton's method for M-tensor equations ⋮ Solving the system of nonsingular tensor equations via randomized Kaczmarz-like method ⋮ Tensor Bi-CR Methods for Solutions of High Order Tensor Equation Accompanied by Einstein Product

Uses Software

• Algorithm 862
• PhaseLift

Cites Work

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• Geometry of Conics
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• Phase Retrieval via Matrix Completion

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