Perturbation bounds of tensor eigenvalue and singular value problems with even order

DOI10.1080/03081087.2015.1074153zbMath1344.15007OpenAlexW1544505661MaRDI QIDQ2805651

Liqun Qi, Yi-Min Wei, Mao-Lin Che

Publication date: 12 May 2016

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

Full work available at URL: https://doi.org/10.1080/03081087.2015.1074153

zbMATH Keywords

algebraic simple eigenvaluemode-\(k\) tensor polynomial eigenvaluemode-symmetric embeddingmode-symmetrynonsingular tensortensor generalized eigenvaluetensor generalized singular valuetensor quadratic eigenvalue

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Iterative numerical methods for linear systems (65F10) Multilinear algebra, tensor calculus (15A69)

Related Items (6)

Pseudo-spectra theory of tensors and tensor polynomial eigenvalue problems ⋮ Outer and (b,c) inverses of tensors ⋮ Z-singular value and Z-singular value inclusion sets for tensors ⋮ An inequality for the Perron pair of an irreducible and symmetric nonnegative tensor with application ⋮ Computing tensor generalized inverses via specialization and rationalization ⋮ Perturbation theory for Moore-Penrose inverse of tensor via Einstein product

Cites Work

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• Mixed, Componentwise, and Structured Condition Numbers
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• A Multilinear Singular Value Decomposition
• An Adaptive Shifted Power Method for Computing Generalized Tensor Eigenpairs
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• On Accurate Computations of the Perron Root
• Generalized Tensor Eigenvalue Problems

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