The point-wise convergence of shifted symmetric higher order power method

DOI10.3934/jimo.2019115zbMath1476.65068OpenAlexW2977428721MaRDI QIDQ2031333

Qingzhi Yang, Gang Luo

Publication date: 9 June 2021

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jimo.2019115

zbMATH Keywords

Łojasiewicz inequalityZ-eigenvaluepoint-wise convergenceshifted symmetric higher-order power method

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69) Numerical linear algebra (65F99)

Related Items (3)

Convergence Analysis on SS-HOPM for BEC-Like Nonlinear Eigenvalue Problems ⋮ Direct methods to compute all \(Z\)-eigenpairs of a tensor with dimension 2 or 3 ⋮ Z-eigenvalue intervals of even-order tensors with application to judge the strong ellipticity of an elasticity tensor

Cites Work

• Unnamed Item
• Unnamed Item
• Multivariate polynomial minimization and its application in signal processing
• The number of eigenvalues of a tensor
• Eigenvalues of a real supersymmetric tensor
• Numerical multilinear algebra and its applications
• On the Best Rank-1 Approximation of Higher-Order Supersymmetric Tensors
• A Block Coordinate Descent Method for Regularized Multiconvex Optimization with Applications to Nonnegative Tensor Factorization and Completion
• A new convergence proof for the higher-order power method and generalizations
• Convergence Results for Projected Line-Search Methods on Varieties of Low-Rank Matrices Via Łojasiewicz Inequality
• A practical method for computing the largestM-eigenvalue of a fourth-order partially symmetric tensor
• Shifted Power Method for Computing Tensor Eigenpairs
• Finding the Largest Eigenvalue of a Nonnegative Tensor
• On the Best Rank-1 and Rank-(R₁ ,R₂ ,. . .,R_N) Approximation of Higher-Order Tensors
• On the Convergence of ICA Algorithms With Symmetric Orthogonalization
• An Eigenvalue Method for Testing Positive Definiteness of a Multivariate Form
• Convergence of the Iterates of Descent Methods for Analytic Cost Functions

This page was built for publication: The point-wise convergence of shifted symmetric higher order power method