A proximal point like method for solving tensor least-squares problems

DOI10.1007/s10092-021-00450-5zbMath1481.65071OpenAlexW3215766966MaRDI QIDQ2070322

Mao-Lin Liang, Yu-Tao Zheng, Bing Zheng

Publication date: 24 January 2022

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-021-00450-5

zbMATH Keywords

tensor eigenvalue problemmultilinear systemsTT-formatalternating linearized methodstensor least-squares problems

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Multilinear algebra, tensor calculus (15A69) Numerical linear algebra (65F99)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Tensor Decompositions and Applications
• Tensor-Train Decomposition
• Proximal alternating linearized minimization for nonconvex and nonsmooth problems
• The sparsest solutions to \(Z\)-tensor complementarity problems
• Tensor methods for solving symmetric \({\mathcal {M}}\)-tensor systems
• On the convergence of the block nonlinear Gauss-Seidel method under convex constraints
• A new scheme for the tensor representation
• Solving sparse non-negative tensor equations: algorithms and applications
• Solving multi-linear systems with \(\mathcal {M}\)-tensors
• A homotopy method for solving multilinear systems with M-tensors
• \(M\)-tensors and nonsingular \(M\)-tensors
• Eigenvalues of a real supersymmetric tensor
• On the Best Rank-1 Approximation of Higher-Order Supersymmetric Tensors
• A literature survey of low-rank tensor approximation techniques
• $M$-Tensors and Some Applications
• Hierarchical Singular Value Decomposition of Tensors
• High Order Bellman Equations and Weakly Chained Diagonally Dominant Tensors
• Breaking the Curse of Dimensionality, Or How to Use SVD in Many Dimensions
• Shifted Power Method for Computing Tensor Eigenpairs
• Finding the Largest Eigenvalue of a Nonnegative Tensor
• Tensor Methods for Nonlinear Equations
• Exact solutions for the nonlinear Klein–Gordon and Liouville equations in four-dimensional Euclidean space
• Tensor Methods for Large, Sparse Unconstrained Optimization
• Splitting methods for tensor equations
• Low‐rank approximation of tensors via sparse optimization
• Generalized Canonical Polyadic Tensor Decomposition
• All Real Eigenvalues of Symmetric Tensors
• Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem
• A fast algorithm for solving circulant tensor systems

This page was built for publication: A proximal point like method for solving tensor least-squares problems