Further results on Moore-Penrose inverses of tensors with application to tensor nearness problems

DOI10.1016/j.camwa.2018.11.001zbMath1442.15004OpenAlexW2902290547WikidataQ114201592 ScholiaQ114201592MaRDI QIDQ2203816

Bing Zheng, Mao-Lin Liang

Publication date: 2 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.11.001

zbMATH Keywords

Moore-Penrose inversetensorstensor equationtensor nearness problemfull rank decomposition

Mathematics Subject Classification ID

Factorization of matrices (15A23) Theory of matrix inversion and generalized inverses (15A09) Multilinear algebra, tensor calculus (15A69)

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Cites Work

• Unnamed Item
• Tensor Decompositions and Applications
• Regularization matrices determined by matrix nearness problems
• Weighted Moore-Penrose inverses and fundamental theorem of even-order tensors with Einstein product
• Computing a nearest symmetric positive semidefinite matrix
• Fast computation of stationary joint probability distribution of sparse Markov chains
• Tensor methods for solving symmetric \({\mathcal {M}}\)-tensor systems
• The generalized inverses of tensors and an application to linear models
• The Drazin inverse of an even-order tensor and its application to singular tensor equations
• Generalized inverses of tensors via a general product of tensors
• Generalized inverses. Theory and applications.
• Finite element model updating in structural dynamics
• Solving multi-linear systems with \(\mathcal {M}\)-tensors
• The inverse, rank and product of tensors
• Eigenvalues of a real supersymmetric tensor
• The nearness problems for symmetric matrix with a submatrix constraint
• Moore–Penrose inverse of tensors via Einstein product
• Solving Multilinear Systems via Tensor Inversion
• Optimization Procedure to Correct Stiffness and Flexibility Matrices Using Vibration Tests
• Fourth-Order Cumulant-Based Blind Identification of Underdetermined Mixtures
• Further results on generalized inverses of tensors via the Einstein product
• Tensor Analysis
• Best Approximate Solution of Matrix Equation AXB+CYD=E
• Higher Order Positive Semidefinite Diffusion Tensor Imaging
• Third-order tensors as linear operators on a space of matrices

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