Shifted and extrapolated power methods for tensor \(\ell^p\)-eigenpairs

DOI10.1553/etna_vol53s1zbMath1433.65049arXiv1909.11964OpenAlexW3003654613MaRDI QIDQ2303348

Michela Redivo-Zaglia, Francesco Tudisco, Stefano Cipolla

Publication date: 3 March 2020

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.11964

zbMATH Keywords

eigenvaluesextrapolation methodstensorsShanks transformationsshifted higher-order power method

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69)

Related Items (10)

Spectral computation with third-order tensors using the t-product ⋮ The global Golub-Kahan method and Gauss quadrature for tensor function approximation ⋮ Perron communicability and sensitivity of multilayer networks ⋮ The genesis and early developments of Aitken's process, Shanks' transformation, the \(\varepsilon\)-algorithm, and related fixed point methods ⋮ Functions and eigenvectors of partially known matrices with applications to network analysis ⋮ Orthogonal expansion of network functions ⋮ New models for multi-class networks ⋮ A survey of Shanks' extrapolation methods and their applications ⋮ Computing tensor Z-eigenvalues via shifted inverse power method ⋮ Nonlocal pagerank

Cites Work

• Efficient algorithms for computing the largest eigenvalue of a nonnegative tensor
• Node and Layer Eigenvector Centralities for Multiplex Networks
• Linear Convergence of the LZI Algorithm for Weakly Positive Tensors
• On a Device for Computing the e m (S n ) Transformation

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