A nonmonotone accelerated Levenberg–Marquardt method for the ‐eigenvalues of symmetric tensors

DOI10.1111/itor.12954OpenAlexW3134874919WikidataQ114080810 ScholiaQ114080810MaRDI QIDQ6092502

Tianliang Hou, Mingyuan Cao, Chaoqian Li, Yue-Ting Yang

Publication date: 23 November 2023

Published in: International Transactions in Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/itor.12954

zbMATH Keywords

global convergencesymmetric tensorstrust region methodnonmonotoneaccelerated LM method

Mathematics Subject Classification ID

Operations research, mathematical programming (90-XX)

Cites Work

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• Strictly nonnegative tensors and nonnegative tensor partition
• The degree of the E-characteristic polynomial of an even order tensor
• A Levenberg-Marquardt method for solving semi-symmetric tensor equations
• A cubically convergent method for solving the largest eigenvalue of a nonnegative irreducible tensor
• On the quadratic convergence of the Levenberg-Marquardt method without nonsingularity assumption
• Semismoothness of the maximum eigenvalue function of a symmetric tensor and its application
• On the uniqueness and non-uniqueness of the positive \(\mathcal Z\)-eigenvector for transition probability tensors
• A quadratically convergent algorithm for finding the largest eigenvalue of a nonnegative homogeneous polynomial map
• A self-adaptive trust region method for extreme \(\mathcal {B}\)-eigenvalues of symmetric tensors
• Eigenvalues of a real supersymmetric tensor
• On eigenvalue problems of real symmetric tensors
• Semidefinite Relaxations for Best Rank-1 Tensor Approximations
• A sequential subspace projection method for extreme Z-eigenvalues of supersymmetric tensors
• The modified Levenberg-Marquardt method for nonlinear equations with cubic convergence
• Finding the Largest Eigenvalue of a Nonnegative Tensor
• Nonmonotone Self-adaptive Levenberg–Marquardt Approach for Solving Systems of Nonlinear Equations
• All Real Eigenvalues of Symmetric Tensors

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