Trace maximization algorithm for the approximate tensor diagonalization

DOI10.1080/03081087.2022.2158997arXiv2111.01466OpenAlexW4312226676MaRDI QIDQ6198682

Unnamed Author, Erna Begović Kovač

Publication date: 23 February 2024

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.01466

zbMATH Keywords

convergenceJacobi-type methodstensor diagonalizationtensor trace

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Multilinear algebra, tensor calculus (15A69) Diagonalization, Jordan forms (15A20)

Cites Work

• Tensor Decompositions and Applications
• On approximate diagonalization of third order symmetric tensors by orthogonal transformations
• Convergence of a Jacobi-type method for the approximate orthogonal tensor diagonalization
• Jacobi Algorithm for the Best Low Multilinear Rank Approximation of Symmetric Tensors
• Globally Convergent Jacobi-Type Algorithms for Simultaneous Orthogonal Symmetric Tensor Diagonalization
• A Multilinear Singular Value Decomposition
• Canonical Polyadic Decomposition with a Columnwise Orthonormal Factor Matrix
• Approximate Matrix and Tensor Diagonalization by Unitary Transformations: Convergence of Jacobi-Type Algorithms
• A Jacobi-Type Method for Computing Orthogonal Tensor Decompositions

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